*/*_For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is?

≈í¬± = ≈í‚â§/2 - ≈ì√Ñ/2

≈í¬± = ≈ì√Ñ/4 - ≈í‚â§/2

≈í¬± = ≈ì√Ñ/2 + ≈í‚â§/2

≈í¬± = ≈í‚â§/2 - ≈ì√Ñ/2

≈í¬± = ≈ì√Ñ/4 - ≈í‚â§/2

*/*_Force polygon method is applicable for?

non-concurrent copianar force system

a system of parallel forces only

concurrent copianar force system

non-concurrent copianar force system

*/*_The resolved part of the resultant of two forces inclined at an angle ≈í‚àè in a given direction is?

Arithmetical sum of the resolved parts of the forces in the direction

Algebraic sum of the resolved parts of the forces in the direction

Arithmetical sum of the resolved parts of the forces in the direction

Difference of the forces multiplied by cosine ≈í‚àè¬¨‚àû

Sum of the forces multiplied by the tangent ≈í‚àè¬¨‚àû

*/*_One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is?

a rectilinear motion with constant speed

*/*_M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is?

≈ì√Ñ/32 (D‚Äö√Ö¬• + d‚Äö√Ö¬•)

≈ì√Ñ/64 (D‚Äö√Ö¬• + d‚Äö√Ö¬•)

≈ì√Ñ/32 (D‚Äö√Ö¬• - d‚Äö√Ö¬•)

≈ì√Ñ/32 (D‚Äö√Ö¬• + d‚Äö√Ö¬•)

≈ì√Ñ/32 (D‚Äö√Ö¬• ‚àö√≥ d‚Äö√Ö¬•)

*/*_The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface?

Uneven distribution of the gravitational field

Gravity of the sun and the moon

%_Varingon‚Äö√Ñ√¥s theorem of moment‚Äö√Ñ√¥s states_%

Arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point

Algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point

Arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point

Algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point

%_The maximum displacement of a particle executing S.H.M. corresponds to_%

Maximum kinetic energy and maximum potential energy

Zero potential energy and maximum kinetic energy

Zero kinetic energy and maximum potential energy

Maximum kinetic energy and maximum potential energy

Minimum kinetic energy and minimum potential energy

_ A rigid body is in a stable equilibrium if the application of any force$?

Tends to lower the CG of the body

Can raise the CG of the body but cannot lower it

Tends to lower the CG of the body

Neither raises nor lowers the CG of the body

_ If the resultant of two forces ‚Äö√Ñ√≤P‚Äö√Ñ√¥ and ‚Äö√Ñ√≤Q‚Äö√Ñ√¥ acting at an angle ‚Äö√Ñ√≤≈í‚àè‚Äö√Ñ√¥ makes an angle ‚Äö√Ñ√≤≈í¬±‚Äö√Ñ√¥ with ‚Äö√Ñ√≤P‚Äö√Ñ√¥, then tan ≈í¬± equals$?

P sin ≈í‚àè/P + Q tan ≈í‚àè

P sin ≈í‚àè/P - Q cos ≈í‚àè

Q sin ≈í‚àè/P + Q cos ≈í‚àè

P sin ≈í‚àè/P + Q tan ≈í‚àè

Q sin ≈í‚àè/P + Q sin ≈í‚àè

_ Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of$?

One-fourth of the total height above base

One-half of the total height above base

One-third of the total height above base

One-fourth of the total height above base

314 + Mcqs in Applied Mechanics And Graphic Statics in Civil Engineering Page 2 McqOptions

51.	/_For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is?
A.	≈í¬± = ≈ì√Ñ/4 - ≈í‚â§/2
B.	≈í¬± = ≈ì√Ñ/2 + ≈í‚â§/2
C.	≈í¬± = ≈í‚â§/2 - ≈ì√Ñ/2
D.	≈í¬± = ≈ì√Ñ/4 - ≈í‚â§/2
Answer» C. ≈í¬± = ≈í‚â§/2 - ≈ì√Ñ/2

Discussion

52.	/_Instantaneous center is at infinity when the angular velocity is?
A.	Constant
B.	Zero
C.	Maximum
D.	Minimum
Answer» C. Maximum

Discussion

53.	/_If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is?
A.	57¬¨‚àû
B.	58¬¨‚àû
C.	59¬¨‚àû
D.	60¬¨‚àû
Answer» C. 59¬¨‚àû

Discussion

54.	/_For a self-locking machine, the efficiency should be?
A.	Less than 60%
B.	50%
C.	More than 50%
D.	None of these
Answer» B. 50%

Discussion

55.	/_A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the lifting machine is?
A.	50
B.	55
C.	60
D.	65
Answer» B. 55

Discussion

56.	/_Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:?
A.	50 kg
B.	75 kg
C.	25 kg
D.	60 kg
Answer» E.

Discussion

57.	/_A particle moves in a straight line and its position is defined by the equation x = 6 t¬¨‚â§ - t3 where t is expressed in seconds and ‚Äö√Ñ√≤x‚Äö√Ñ√¥ in meters. The maximum velocity during the motion is?
A.	6 m/sec
B.	12 m/sec
C.	24 m/sec
D.	48 m/sec
Answer» C. 24 m/sec

Discussion

58.	/_Force polygon method is applicable for?
A.	any copianar force system
B.	a system of parallel forces only
C.	concurrent copianar force system
D.	non-concurrent copianar force system
Answer» D. non-concurrent copianar force system

Discussion

59.	/_For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is?
A.	60 %
B.	65 %
C.	70 %
D.	75 %
Answer» E.

Discussion

60.	/_Joule is the unit of?
A.	Work
B.	Force
C.	Power
D.	Torque
Answer» B. Force

Discussion

61.	/_For the system of the loads shown in bellow figure, the time required for the 6.6 kg load to fall on the edge, is?
A.	1 sec
B.	2 sec
C.	3 sec
D.	4 sec
Answer» D. 4 sec

Discussion

62.	/_For maximum range of a projectile, the angle of projection should be?
A.	30¬¨‚àû
B.	45¬¨‚àû
C.	60¬¨‚àû
D.	None of these
Answer» C. 60¬¨‚àû

Discussion

63.	/_The resolved part of the resultant of two forces inclined at an angle ≈í‚àè in a given direction is?
A.	Algebraic sum of the resolved parts of the forces in the direction
B.	Arithmetical sum of the resolved parts of the forces in the direction
C.	Difference of the forces multiplied by cosine ≈í‚àè¬¨‚àû
D.	Sum of the forces multiplied by the tangent ≈í‚àè¬¨‚àû
Answer» B. Arithmetical sum of the resolved parts of the forces in the direction

Discussion

64.	/_A rod 5 m in length is moving in a vertical plane. When it is inclined at 60¬¨‚àû to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is?
A.	0.5 m/sec
B.	1.0 m/sec
C.	1.5 m/sec
D.	2.5 m/sec
Answer» C. 1.5 m/sec

Discussion

65.	/_The units of inertia of mass are?
A.	kg/m
B.	kg/m¬¨‚â§
C.	m‚Äö√Ö¬•
D.	kg-m¬¨‚â§
Answer» E.

Discussion

66.	/_Rate of change of angular momentum is equal to?
A.	Force
B.	Torque
C.	Linear momentum
D.	Impulse
Answer» C. Linear momentum

Discussion

67.	/_One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is?
A.	a simple harmonic motion
B.	a rectilinear motion with constant speed
C.	a damped oscillatory motion
D.	none of the above
Answer» B. a rectilinear motion with constant speed

Discussion

68.	/_M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is?
A.	≈ì√Ñ/64 (D‚Äö√Ö¬• + d‚Äö√Ö¬•)
B.	≈ì√Ñ/32 (D‚Äö√Ö¬• - d‚Äö√Ö¬•)
C.	≈ì√Ñ/32 (D‚Äö√Ö¬• + d‚Äö√Ö¬•)
D.	≈ì√Ñ/32 (D‚Äö√Ö¬• ‚àö√≥ d‚Äö√Ö¬•)
Answer» C. ≈ì√Ñ/32 (D‚Äö√Ö¬• + d‚Äö√Ö¬•)

Discussion

69.	/_The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is?
A.	a/4
B.	3a/4
C.	3b/10
D.	3a/10
Answer» C. 3b/10

Discussion

70.	/_The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface?
A.	Uneven distribution of the gravitational field
B.	Gravity of the sun and the moon
C.	Aerodynamic forces
D.	None of these
Answer» E.

Discussion

71.	/_The centre of gravity of a plane lamina will not be at its geometrical centre if it is a?
A.	Circle
B.	Equilateral triangle
C.	Rectangle
D.	Right angled triangle
Answer» E.

Discussion

72.	/_The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is?
A.	1/4
B.	1/2
C.	3/4
D.	2
Answer» B. 1/2

Discussion

73.	/_A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is?
A.	1/4
B.	2/3
C.	3/4
D.	4/3
Answer» D. 4/3

Discussion

74.	/_The equation of motion of a particle starting from rest along a straight line is x = t¬¨‚â• - 3t¬¨‚â§+ 5. The ratio of the accelerations after 5 sec and 3 sec will be?
A.	2
B.	3
C.	4
D.	5
Answer» E.

Discussion

75.	/_The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator?
A.	Eastward
B.	Northward
C.	Westward
D.	Southward
Answer» B. Northward

Discussion

76.	/_The shape of a suspended cable for a uniformly distributed load over it is?
A.	Circular
B.	Parabolic
C.	Catenary
D.	Cubic parabola
Answer» C. Catenary

Discussion

77.	/_If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, theni. a force is required to move the body upwardsii. a force is required to move the body downwardiii. the body will not be in equilibriumThe correct answer is?
A.	only (i)
B.	only (ii)
C.	both (i) and (ii)
D.	both (i) and (iii)
Answer» D. both (i) and (iii)

Discussion

78.	/_The force polygon representing a set of forces in equilibrium is a?
A.	Triangle
B.	Open polygon
C.	Closed polygon
D.	Parallelogram
Answer» D. Parallelogram

Discussion

79.	/_Which of the following is a scalar quantity??
A.	Energy
B.	Momentum
C.	Torque
D.	Impulse
Answer» B. Momentum

Discussion

80.	/_A string of length 90 cm is fastened to two points ‚Äö√Ñ√≤A‚Äö√Ñ√¥ and ‚Äö√Ñ√≤B‚Äö√Ñ√¥ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‚Äö√Ñ√≤P‚Äö√Ñ√¥ is applied to the ring such that it is in equilibrium vertically below ‚Äö√Ñ√≤B‚Äö√Ñ√¥. The value of ‚Äö√Ñ√≤P‚Äö√Ñ√¥ is:?
A.	40 g
B.	60 g
C.	80 g
D.	100 g
Answer» D. 100 g

Discussion

81.	/_If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to?
A.	7 kg
B.	1 kg
C.	5 kg
D.	None of these
Answer» D. None of these

Discussion

82.	/_A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is?
A.	2 J
B.	4 J
C.	6 J
D.	8 J
Answer» C. 6 J

Discussion

83.	/_Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for?
A.	Half oscillation
B.	Quarter oscillation
C.	Complete oscillation
D.	None of these
Answer» D. None of these

Discussion

84.	%_For a body moving with simple harmonic motion, the number of cycles per second, is known as its_%
A.	Oscillation
B.	Amplitude
C.	Periodic time
D.	Frequency
Answer» E.

Discussion

85.	%_Varingon‚Äö√Ñ√¥s theorem of moment‚Äö√Ñ√¥s states_%
A.	Arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point
B.	Algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point
C.	Arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
D.	Algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
Answer» E.

Discussion

86.	%_The maximum displacement of a particle executing S.H.M. corresponds to_%
A.	Zero potential energy and maximum kinetic energy
B.	Zero kinetic energy and maximum potential energy
C.	Maximum kinetic energy and maximum potential energy
D.	Minimum kinetic energy and minimum potential energy
Answer» C. Maximum kinetic energy and maximum potential energy

Discussion

87.	%_Ball ‚Äö√Ñ√≤A‚Äö√Ñ√¥ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‚Äö√Ñ√≤B‚Äö√Ñ√¥ on the table. If the impact is perfectly elastic, the velocity of the ball ‚Äö√Ñ√≤B‚Äö√Ñ√¥ just after impact would be_%
A.	Zero
B.	5 m/sec
C.	10 m/sec
D.	None of these
Answer» D. None of these

Discussion

88.	%_Angular acceleration of a particle may be expressed as_%
A.	Radians/sec¬¨‚â§
B.	Degrees/sec¬¨‚â§
C.	Revolutions/sec
D.	All the above
Answer» E.

Discussion

89.	_ Moment of inertia of a squares of side ‚Äö√Ñ√≤b‚Äö√Ñ√¥ about an axis through its centre of gravity, is$?
A.	b¬¨‚â•/4
B.	b‚Äö√Ö¬•/12
C.	b‚Äö√Ö¬•/3
D.	b‚Äö√Ö¬•/8
Answer» C. b‚Äö√Ö¬•/3

Discussion

90.	_ A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‚Äö√Ñ√≤g‚Äö√Ñ√¥ is acceleration due to gravity and 0 is inclination of plane with horizontal.)$?
A.	(1/3) g sinB
B.	(2/3) g cos 9
C.	(2/3) g sin 0
D.	g sin 9
Answer» D. g sin 9

Discussion

91.	_ A geo-stationary satellite is one which orbits the earth with a velocity of rotation of$?
A.	Moon
B.	Earth
C.	Sun
D.	Pole
Answer» C. Sun

Discussion

92.	_ The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is$?
A.	229.34 cm‚Äö√Ö¬•
B.	329.34 cm‚Äö√Ö¬•
C.	429.34 cm‚Äö√Ö¬•
D.	529.34 cm‚Äö√Ö¬•
Answer» D. 529.34 cm‚Äö√Ö¬•

Discussion

93.	_ A rigid body is in a stable equilibrium if the application of any force$?
A.	Can raise the CG of the body but cannot lower it
B.	Tends to lower the CG of the body
C.	Neither raises nor lowers the CG of the body
D.	None of above
Answer» B. Tends to lower the CG of the body

Discussion

94.	_ The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of‚Äö√Ñ√¥the particle from centre of the earth)$?
A.	log r
B.	r
C.	r2
D.	1/r
Answer» D. 1/r

Discussion

95.	_ Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30¬¨‚àû and 45¬¨‚àû respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is$?
A.	350 m
B.	375 m
C.	400 m
D.	425 m
Answer» E.

Discussion

96.	_ Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is$?
A.	2 sec
B.	3 sec
C.	4 sec
D.	5 sec
Answer» D. 5 sec

Discussion

97.	_ If the resultant of two forces ‚Äö√Ñ√≤P‚Äö√Ñ√¥ and ‚Äö√Ñ√≤Q‚Äö√Ñ√¥ acting at an angle ‚Äö√Ñ√≤≈í‚àè‚Äö√Ñ√¥ makes an angle ‚Äö√Ñ√≤≈í¬±‚Äö√Ñ√¥ with ‚Äö√Ñ√≤P‚Äö√Ñ√¥, then tan ≈í¬± equals$?
A.	P sin ≈í‚àè/P - Q cos ≈í‚àè
B.	Q sin ≈í‚àè/P + Q cos ≈í‚àè
C.	P sin ≈í‚àè/P + Q tan ≈í‚àè
D.	Q sin ≈í‚àè/P + Q sin ≈í‚àè
Answer» C. P sin ≈í‚àè/P + Q tan ≈í‚àè

Discussion

98.	_ The height at which the end of a rope of length ‚Äö√Ñ√≤l‚Äö√Ñ√¥ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is$?
A.	¬¨√¶ l
B.	¬¨Œ© l
C.	l/‚Äö√ √∂2
D.	2/‚Äö√ √∂3 l
Answer» D. 2/‚Äö√ √∂3 l

Discussion

99.	_ Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of$?
A.	One-half of the total height above base
B.	One-third of the total height above base
C.	One-fourth of the total height above base
D.	None of these
Answer» C. One-fourth of the total height above base

Discussion

100.	_ The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at$?
A.	Supports
B.	Quarter span
C.	Mid span
D.	None of the above
Answer» B. Quarter span

Discussion

Explore topic-wise MCQs in Civil Engineering.

*/*_For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is?

*/*_Instantaneous center is at infinity when the angular velocity is?

*/*_If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is?

*/*_For a self-locking machine, the efficiency should be?

*/*_A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the lifting machine is?

*/*_Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:?

*/*_A particle moves in a straight line and its position is defined by the equation x = 6 t¬¨‚â§ - t3 where t is expressed in seconds and ‚Äö√Ñ√≤x‚Äö√Ñ√¥ in meters. The maximum velocity during the motion is?

*/*_Force polygon method is applicable for?

*/*_For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is?

*/*_Joule is the unit of?

*/*_For the system of the loads shown in bellow figure, the time required for the 6.6 kg load to fall on the edge, is?

*/*_For maximum range of a projectile, the angle of projection should be?

*/*_The resolved part of the resultant of two forces inclined at an angle ≈í‚àè in a given direction is?

*/*_A rod 5 m in length is moving in a vertical plane. When it is inclined at 60¬¨‚àû to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is?

*/*_The units of inertia of mass are?

*/*_Rate of change of angular momentum is equal to?

*/*_One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is?

*/*_M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is?

*/*_The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is?

*/*_The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface?

*/*_The centre of gravity of a plane lamina will not be at its geometrical centre if it is a?

*/*_The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is?

*/*_A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is?

*/*_The equation of motion of a particle starting from rest along a straight line is x = t¬¨‚â• - 3t¬¨‚â§+ 5. The ratio of the accelerations after 5 sec and 3 sec will be?

*/*_The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator?

*/*_The shape of a suspended cable for a uniformly distributed load over it is?

*/*_If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, theni. a force is required to move the body upwardsii. a force is required to move the body downwardiii. the body will not be in equilibriumThe correct answer is?

*/*_The force polygon representing a set of forces in equilibrium is a?

*/*_Which of the following is a scalar quantity??

*/*_If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to?

*/*_A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is?

*/*_Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for?

%_For a body moving with simple harmonic motion, the number of cycles per second, is known as its_%

%_Varingon‚Äö√Ñ√¥s theorem of moment‚Äö√Ñ√¥s states_%

%_The maximum displacement of a particle executing S.H.M. corresponds to_%

%_Angular acceleration of a particle may be expressed as_%

_ Moment of inertia of a squares of side ‚Äö√Ñ√≤b‚Äö√Ñ√¥ about an axis through its centre of gravity, is$?

_ A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‚Äö√Ñ√≤g‚Äö√Ñ√¥ is acceleration due to gravity and 0 is inclination of plane with horizontal.)$?

_ A geo-stationary satellite is one which orbits the earth with a velocity of rotation of$?

_ The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is$?

_ A rigid body is in a stable equilibrium if the application of any force$?

_ The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of‚Äö√Ñ√¥the particle from centre of the earth)$?

_ Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30¬¨‚àû and 45¬¨‚àû respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is$?

_ Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is$?

_ The height at which the end of a rope of length ‚Äö√Ñ√≤l‚Äö√Ñ√¥ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is$?

_ Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of$?

_ The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at$?

/_For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is?

/_Instantaneous center is at infinity when the angular velocity is?

/_If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is?

/_For a self-locking machine, the efficiency should be?

/_A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the lifting machine is?

/_Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:?

/_A particle moves in a straight line and its position is defined by the equation x = 6 t¬¨‚â§ - t3 where t is expressed in seconds and ‚Äö√Ñ√≤x‚Äö√Ñ√¥ in meters. The maximum velocity during the motion is?

/_Force polygon method is applicable for?

/_For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is?

/_Joule is the unit of?

/_For the system of the loads shown in bellow figure, the time required for the 6.6 kg load to fall on the edge, is?

/_For maximum range of a projectile, the angle of projection should be?

/_The resolved part of the resultant of two forces inclined at an angle ≈í‚àè in a given direction is?

/_A rod 5 m in length is moving in a vertical plane. When it is inclined at 60¬¨‚àû to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is?

/_The units of inertia of mass are?

/_Rate of change of angular momentum is equal to?

/_One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is?

/_M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is?

/_The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is?

/_The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface?

/_The centre of gravity of a plane lamina will not be at its geometrical centre if it is a?

/_The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is?

/_A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is?

/_The equation of motion of a particle starting from rest along a straight line is x = t¬¨‚â• - 3t¬¨‚â§+ 5. The ratio of the accelerations after 5 sec and 3 sec will be?

/_The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator?

/_The shape of a suspended cable for a uniformly distributed load over it is?

/_If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, theni. a force is required to move the body upwardsii. a force is required to move the body downwardiii. the body will not be in equilibriumThe correct answer is?

/_The force polygon representing a set of forces in equilibrium is a?

/_Which of the following is a scalar quantity??

/_If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to?

/_A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is?

/_Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for?