Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

rubber and lead balls undergo equal changes in momentum

change in momentum suffered by lead ball is less that of rubber ball

momentum of rubber ball is less than that of lead ball

The Law of Polygon of Forces states that

if forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order

if a polygen representing the forces acting at point in a body is closed, the forces are in equilibrium

if forces acting on a point can be represented in magnitde and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon

if forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order

œâ rad/sec is the angular velocity of a crank whose radius is r. If it makes Œ∏¬∞ with inner dead centre and obliquity of the connecting rod l is œÜ, the velocity v of the piston, is given by the equation

œâ2(l sin œÜ - r cos Œ∏ tan œÜ).

œâ2(l cos œÜ + r sin œÜ tan Œ∏)

œâ2(l sin œÜ + r cos œÜ tan Œ∏)

œâ(l sin œÜ + r cos œÜ tan Œ∏)

œâ2(l sin œÜ - r cos Œ∏ tan œÜ).

The characteristic of a couple, is :

algebraic sum of forces, constituting a couple is zero

algebraic sum of moments of forces, constituting a couple, about any poin, is same

a couple can be balanced only by a couple but of opposite sense

a couple can be never the balanced by a single force

Which one of the following laws is not applicable to a simple pendulum ?.

The time period is proportional to l where l is length

The time period does not depend on its magnitude

The time period is proportional to its length l

The time period is proportional to l where l is length

The time period is inversely proportional to g where g is the acceleration due to gravity.

On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts

perpendicular to the wall at its upper end

The necessary condition of equilibrium of a body, is :

algebraic sum of horizontal components of all the forces must be zero

algebraic sum of vertical components of all the forces must be zero

algebraic sum of the moments of the forces about a point must be zero

The resolved part of the resultant of two forces inclined at an angle Œ∏ 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 Œ∏¬∞

sum of the forces multiplied by the sine Œ∏

Varigon's theorem of moments 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 resulant about that point.

If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

the perpendicular to both the lines

the same line in the same sense

the same line in opposite sense

the perpendicular to both the lines

According to Law of Triangle of Forces

three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force

three forces acting along the sides of a triangle are always in equilibrium

if three forces acting on a, point can be represented.in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium

if three forces acting at a point are in equilibrium each force is proportional to the sine of the angle between the other two

On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts

towards the wall at its upper end

away from the wall at its upper end

The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

8.04 km/sec at a height of 285 km

11.11 km/sec at a height of 37, 400 km

11.26 km/sec, the satellite escapes the pull of the earth

267 + Mcqs in Applied Mechanics in Civil Engineering Page 3 McqOptions

101.	A projectile is fired at an angle Œ∏ to the vertical. Its horizontal range will be maximum when Œ∏ is
A.	zero
B.	none of these.
C.	0¬∞
D.	30¬∞
Answer» D. 30¬∞

102.	Angular acceleration of a particle may be expressed as
A.	radians/sec2
B.	degrees/sec2
C.	revolutions/sec
D.	all the above.
Answer» E.

103.	Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down
A.	25 m/sec.
B.	rubber and lead balls undergo equal changes in momentum
C.	change in momentum suffered by lead ball is less that of rubber ball
D.	momentum of rubber ball is less than that of lead ball
Answer» E.

104.	Two particles have been projected at angles 64¬∞ and 45¬∞ to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
A.	v = 1/2gh
B.	h2/2g
C.	9.3 m/sec
D.	8.3 m/sec
Answer» B. h2/2g

105.	If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
A.	All the above.
B.	500 metres
C.	1000 metres
D.	1500 metres
Answer» E.

106.	The Law of Polygon of Forces states that
A.	3t - 2
B.	if a polygen representing the forces acting at point in a body is closed, the forces are in equilibrium
C.	if forces acting on a point can be represented in magnitde and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon
D.	if forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order
Answer» D. if forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order

107.	Equation of motion of a point in a straight line, is
A.	v = u + ft
B.	S = ut + ft2
C.	2fS = v2 - u2
D.	all the above.
Answer» E.

108.	The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
A.	5
B.	0.02 m
C.	2 m
D.	2.5 m
Answer» B. 0.02 m

109.	œâ rad/sec is the angular velocity of a crank whose radius is r. If it makes Œ∏¬∞ with inner dead centre and obliquity of the connecting rod l is œÜ, the velocity v of the piston, is given by the equation
A.	œâ2(l cos œÜ + r sin œÜ tan Œ∏)
B.	œâ2(l sin œÜ + r cos œÜ tan Œ∏)
C.	œâ(l sin œÜ + r cos œÜ tan Œ∏)
D.	œâ2(l sin œÜ - r cos Œ∏ tan œÜ).
Answer» D. œâ2(l sin œÜ - r cos Œ∏ tan œÜ).

110.	The load shared by the member BC of the structure shown in below figure is
A.	23t
B.	32t
C.	4 t
D.	3 t.
Answer» D. 3 t.

111.	The characteristic of a couple, is :
A.	algebraic sum of forces, constituting a couple is zero
B.	algebraic sum of moments of forces, constituting a couple, about any poin, is same
C.	a couple can be balanced only by a couple but of opposite sense
D.	a couple can be never the balanced by a single force
Answer» E.

114.	The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is
A.	437.5 cm4
B.	337.5 cm4
C.	237.5 cm4
D.	137.5 cm4
Answer» E.

116.	Power can be expressed as
A.	work/energy
B.	work/time
C.	work x time
D.	work/distance.
Answer» C. work x time

118.	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.	0.6
B.	0.65
C.	0.7
D.	75%.
Answer» E.

119.	In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is
A.	1.5
B.	5
C.	25
D.	314
Answer» E.

112.	A sphere is resting on two planes BA and BC which are inclined at 45¬∞ and 60¬∞ respectively with the horizontal. The reaction on the plane BA will be
A.	less than that on BC
B.	more than that of BC
C.	equal to that on BC
D.	zero
Answer» C. equal to that on BC

113.	Which one of the following laws is not applicable to a simple pendulum ?.
A.	The time period does not depend on its magnitude
B.	The time period is proportional to its length l
C.	The time period is proportional to l where l is length
D.	The time period is inversely proportional to g where g is the acceleration due to gravity.
Answer» C. The time period is proportional to l where l is length

115.	Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature,
A.	dip of the cable increases
B.	length of the cable increases
C.	dip of the cable decreases
D.	none of the these.
Answer» D. none of the these.

117.	A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45¬∞ and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be
A.	0.5 m/sec
B.	1.5 m/sec
C.	2.5 m/sec
D.	3.5 m/sec
Answer» D. 3.5 m/sec

120.	When a body falls freely under gravitational force, it possesses
A.	maximum weight
B.	minimum weight
C.	no weight
D.	no effect on its weight.
Answer» D. no effect on its weight.

121.	The member which does not carry zero force in the structure shown in below figure, is
A.	ED
B.	DC
C.	BC
D.	BD.
Answer» E.

122.	On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts
A.	downwards at its upper end
B.	upwards at its upper end
C.	perpendicular to the wall at its upper end
D.	zero at its upper end
Answer» E.

123.	The necessary condition of equilibrium of a body, is :
A.	algebraic sum of horizontal components of all the forces must be zero
B.	algebraic sum of vertical components of all the forces must be zero
C.	algebraic sum of the moments of the forces about a point must be zero
D.	all (a), (b) and (c).
Answer» E.

124.	The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is
A.	weight
B.	mass
C.	interia
D.	momentum.
Answer» D. momentum.

125.	The resolved part of the resultant of two forces inclined at an angle Œ∏ 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 Œ∏¬∞
D.	sum of the forces multiplied by the sine Œ∏
Answer» B. arithmetical sum of the resolved parts of the forces in the direction

Explore topic-wise MCQs in Civil Engineering.

A projectile is fired at an angle Œ∏ to the vertical. Its horizontal range will be maximum when Œ∏ is

Angular acceleration of a particle may be expressed as

Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

Two particles have been projected at angles 64¬∞ and 45¬∞ to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is

If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is

The Law of Polygon of Forces states that

Equation of motion of a point in a straight line, is

The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through

œâ rad/sec is the angular velocity of a crank whose radius is r. If it makes Œ∏¬∞ with inner dead centre and obliquity of the connecting rod l is œÜ, the velocity v of the piston, is given by the equation

The load shared by the member BC of the structure shown in below figure is

The characteristic of a couple, is :

A sphere is resting on two planes BA and BC which are inclined at 45¬∞ and 60¬∞ respectively with the horizontal. The reaction on the plane BA will be

Which one of the following laws is not applicable to a simple pendulum ?.

The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature,

Power can be expressed as

A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45¬∞ and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

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

In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is

When a body falls freely under gravitational force, it possesses

The member which does not carry zero force in the structure shown in below figure, is

On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts

The necessary condition of equilibrium of a body, is :

The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is

The resolved part of the resultant of two forces inclined at an angle Œ∏ in a given direction is

For a self-locking machine, the efficiency should be

The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is

If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is

A satellite is said to move in a synchronous orbit if it moves at an altitude of 36, 000 km with a maximum velocity of about

The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2 - 10 where S is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

Varigon's theorem of moments states

One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

A rod 5 m in length is moving in a vertical plane. When it is inclined at 60¬∞ 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 horizontal reaction at the support A of the structure shown in below figure, is

The unit of moments in M.K.S system, is

If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

For a simple pendulum, time period for a beat, is

According to Law of Triangle of Forces

If a ball which is dropped from a height of 2.25 m on a smooth floor attains the height of bounce equal to 1.00 m, the coefficient of the restitution between the ball and floor, is

A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be

The acceleration of a train starting from rest at any instant is where V is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of

The apparent weight of a man in a moving lift is less than his real weight when it is going down with

On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts

If a particle moves with a uniform angular velocity œâ radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, 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 geo-stationary satellite is one which orbits the earth with a velocity of rotation of

The maximum frictional force which comes into play, when a body just begins to slide over the surface of a an other body, is known

The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

A pilot flies a small plane in a vertical loop of radius r. At the top of its trajectory he experiences weightlessness. If the acceleration due to gravity is g, the speed of the plane at the top of its trajectory would be

126.	For a self-locking machine, the efficiency should be
A.	less than 60%
B.	0.5
C.	more than 50%
D.	None of these.
Answer» B. 0.5

127.	The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
A.	5.88 m/sec
B.	8.88 m/sec
C.	10.88 m/sec
D.	12.88 m/sec.
Answer» D. 12.88 m/sec.

128.	A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is
A.	0.33
B.	0.44
C.	0.57
D.	0.67
Answer» E.

129.	If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is
A.	57¬∞
B.	58¬∞
C.	59¬∞
D.	60¬∞.
Answer» C. 59¬∞

130.	A satellite is said to move in a synchronous orbit if it moves at an altitude of 36, 000 km with a maximum velocity of about
A.	7000 km per hour
B.	8000 km per hour
C.	9000 km per hour
D.	10, 000 per hour
Answer» E.

131.	The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2 - 10 where S is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is
A.	sec
B.	1 sec
C.	1.5 sec
D.	1.5 sec.
Answer» C. 1.5 sec

132.	Varigon's theorem of moments 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 resulant about that point.
Answer» E.

133.	One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is
A.	102.5 kg
B.	105.5 kg
C.	108.5 kg
D.	110 kg.
Answer» B. 105.5 kg

134.	A rod 5 m in length is moving in a vertical plane. When it is inclined at 60¬∞ 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

135.	The horizontal reaction at the support A of the structure shown in below figure, is
A.	zero
B.	1 t
C.	2 t
D.	3 t
Answer» B. 1 t