_The algebraic sum of moments of the forces forming couple about any point in their plane is$?

Equal to the moment of the couple

_Which of the following statement is correct in connection with projectiles?$?

A path, traced by a projectile in the space, is known as trajectory.

The velocity, with which a projectile is projected, is known as the velocity of projection.

The angle, with the horizontal, at which a projectile is projected, is known as angle of projection.

_A number of forces acting at a point will be in equilibrium, if$?

All the forces are equally inclined

Sum of resolved parts in the vertical direction is zero (i.e. ‚Äö√ √´V = 0)

_Centre of gravity of a solid cone lies on the axis at the height$?

One third of the total height above base

One fourth of the total height above base

One third of the total height above base

One-half of the total height above base

Three eighth of the total height above the base

_Non-coplanar concurrent forces are those forces which$?

Do not meet at one point and their lines of action do not lie on the same plane

Meet at one point, but their lines of action do not lie on the same plane

Do not meet at one point and their lines of action do not lie on the same plane

Meet at one point and their lines of action also lie on the same plane

Do not meet at one point, but their lines of action lie on the same plane

In the shown figure, the tension (T) in the string will be$?

(m‚Äö√á√Ö + m‚Äö√á√á)/ m‚Äö√á√Ö. m‚Äö√á√á. g

m‚Äö√á√Ö. m‚Äö√á√á. g/(m‚Äö√á√Ö + m‚Äö√á√á)

2m‚Äö√á√Ö. m‚Äö√á√á. g/(m‚Äö√á√Ö + m‚Äö√á√á)

(m‚Äö√á√Ö + m‚Äö√á√á)/ m‚Äö√á√Ö. m‚Äö√á√á. g

(m‚Äö√á√Ö + m‚Äö√á√á)/2m‚Äö√á√Ö. m‚Äö√á√á. g

The moment of a force$?

Is the turning effect produced by a force, on the body, on which it acts

Is equal to the product of force acting on the body and the perpendicular distance of a point and the line of action of the force

Is equal to twice the area of the triangle, whose base is the line representing the force and whose vertex is the point, about which the moment is taken

The Cartesian equation of trajectory is (where u = Velocity of projection, ≈í¬± = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)$?

y = x. tan≈í¬± + (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±)

y = (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±) + x. tan≈í¬±

y = (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±) - x. tan≈í¬±

y = x. tan≈í¬± - (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±)

y = x. tan≈í¬± + (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±)

A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act$?

Perpendicular to the wall at its upper end

One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where ≈í¬• = Deflection of the spring.)$?

2≈ì√Ñ. ‚Äö√ √∂(≈í¬•/g)

2≈ì√Ñ. ‚Äö√ √∂(g/≈í¬•)

1/2≈ì√Ñ. ‚Äö√ √∂(g/≈í¬•)

2≈ì√Ñ. ‚Äö√ √∂(≈í¬•/g)

1/2≈ì√Ñ. ‚Äö√ √∂(≈í¬•/g)

A force while acting on a body may$?

Balance the forces, already acting on it

Give rise to the internal stresses in it

Which one of the following statements is not correct?$?

The tangent of the angle of friction is equal to coefficient of friction

The angle of repose is equal to angle of friction

The tangent of the angle of repose is equal to coefficient of friction

The sine of the angle of repose is equal to coefficient to friction

The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)$?

1/2≈ì√Ñ. ‚Äö√ √∂(kG¬¨‚â§ + h¬¨‚â§/gh)

2≈ì√Ñ. ‚Äö√ √∂(gh/kG¬¨‚â§ + h¬¨‚â§)

2≈ì√Ñ. ‚Äö√ √∂(kG¬¨‚â§ + h¬¨‚â§/gh)

1/2≈ì√Ñ. ‚Äö√ √∂(gh/kG¬¨‚â§ + h¬¨‚â§)

1/2≈ì√Ñ. ‚Äö√ √∂(kG¬¨‚â§ + h¬¨‚â§/gh)

The time of flight of a projectile on downward inclined plane depends upon$?

Angle of inclination of the plane

The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as$?

Principle of transmissibility of forces

Principle of independence of forces

Principle of resolution of forces

Principle of transmissibility of forces

Two coplanar couples having equal and opposite moments$?

Produce a couple and an unbalanced force

On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be$?

Perpendicular to the wall at its upper end

The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is$?

(4p¬¨‚â§ - q¬¨‚â§)/6

[‚Äö√ √∂(4p¬¨‚â§ - q¬¨‚â§)]/6

(4p¬¨‚â§ - q¬¨‚â§)/6

(p¬¨‚â§ - q¬¨‚â§)/4

(p¬¨‚â§ + q¬¨‚â§)/4

In a framed structure, as shown in the below figure, the force in the member BC is$?

W/‚Äö√ √∂3 (compression)

2W/‚Äö√ √∂3 (compression)

2W/‚Äö√ √∂3 (tension)

606 + Mcqs in Engineering Mechanics Page 10 McqOptions

451.	_Which of the following is a vector quantity?$?
A.	Energy
B.	Mass
C.	Momentum
D.	Angle
Answer» D. Angle

Discussion

452.	_The moment of inertia of a solid cylinder of mass 'm', radius 'r' and length 'l' about the longitudinal axis or polar axis is$?
A.	mr¬¨‚â§/2
B.	mr¬¨‚â§/4
C.	mr¬¨‚â§/6
D.	mr¬¨‚â§/8
Answer» B. mr¬¨‚â§/4

Discussion

453.	_The acceleration of a particle moving with simple harmonic motion, at any instant is given by$?
A.	≈ì√¢.y
B.	≈ì√¢2.y
C.	≈ì√¢2/y
D.	≈ì√¢3.y
Answer» C. ≈ì√¢2/y

Discussion

454.	_Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity ‚Äö√Ñ√≤v‚Äö√Ñ√¥ is made to strike the second ball. Both the balls after impact will move with a velocity$?
A.	v
B.	v/2
C.	v/4
D.	v/8
Answer» C. v/4

Discussion

455.	_Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is$?
A.	bh3/4
B.	bh3/8
C.	bh3/12
D.	bh3/36
Answer» D. bh3/36

Discussion

456.	_If n = number of members and y = number of joints, then for a perfect frame, n = ?$?
A.	1/2
B.	2/3
C.	3/2
D.	2/4
Answer» C. 3/2

Discussion

457.	_Which of the following is the locus of a point that moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one$?
A.	Ellipse
B.	Hyperbola
C.	Parabola
D.	Circle
Answer» C. Parabola

Discussion

458.	_The range of a projectile is maximum, when the angle of projection is$?
A.	30¬¨‚àû
B.	45¬¨‚àû
C.	60¬¨‚àû
D.	90¬¨‚àû
Answer» C. 60¬¨‚àû

Discussion

459.	_A trolley wire weighs 1.2 kg per meter length. The ends of the wire are attached to two poles 20 meters apart. If the horizontal tension is 1500 kg find the dip in the middle of the span$?
A.	2.5 cm
B.	3.0 cm
C.	4.0 cm
D.	5.0 cm
Answer» D. 5.0 cm

Discussion

460.	_The algebraic sum of moments of the forces forming couple about any point in their plane is$?
A.	Equal to the moment of the couple
B.	Constant
C.	Both of above are correct
D.	Both of above are wrong
Answer» B. Constant

Discussion

461.	_A redundant frame is also called __________ frame.$?
A.	Perfect
B.	Imperfect
C.	Deficient
D.	None of these
Answer» C. Deficient

Discussion

462.	_The C.G. of a plane lamina will not be at its geometrical centre in the case of a$?
A.	Right angled triangle
B.	Equilateral triangle
C.	Square
D.	Circle
Answer» B. Equilateral triangle

Discussion

463.	_Which of the following statement is correct in connection with projectiles?$?
A.	A path, traced by a projectile in the space, is known as trajectory.
B.	The velocity, with which a projectile is projected, is known as the velocity of projection.
C.	The angle, with the horizontal, at which a projectile is projected, is known as angle of projection.
D.	All of the above
Answer» E.

Discussion

464.	_Coefficient of friction depends upon$?
A.	Area of contact only
B.	Nature of surface only
C.	Both (A) and (B)
D.	None of these
Answer» C. Both (A) and (B)

Discussion

465.	_A smooth cylinder lying on its convex surface remains in __________ equilibrium.$?
A.	Stable
B.	Unstable
C.	Neutral
D.	None of these
Answer» C. Neutral

Discussion

466.	_A number of forces acting at a point will be in equilibrium, if$?
A.	All the forces are equally inclined
B.	Sum of all the forces is zero
C.	Sum of resolved parts in the vertical direction is zero (i.e. ‚Äö√ √´V = 0)
D.	None of these
Answer» D. None of these

Discussion

467.	_The force, by which the body is attracted, towards the center of the earth, is called$?
A.	Impulsive force
B.	Mass
C.	Weight
D.	Momentum
Answer» D. Momentum

Discussion

468.	_From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate. Find the e.g. of the remainder from the centre of circular plate$?
A.	0.5 cm
B.	1.0 cm
C.	1.5 cm
D.	2.5 cm
Answer» B. 1.0 cm

Discussion

469.	_Centre of gravity of a solid cone lies on the axis at the height$?
A.	One fourth of the total height above base
B.	One third of the total height above base
C.	One-half of the total height above base
D.	Three eighth of the total height above the base
Answer» B. One third of the total height above base

Discussion

470.	_Non-coplanar concurrent forces are those forces which$?
A.	Meet at one point, but their lines of action do not lie on the same plane
B.	Do not meet at one point and their lines of action do not lie on the same plane
C.	Meet at one point and their lines of action also lie on the same plane
D.	Do not meet at one point, but their lines of action lie on the same plane
Answer» B. Do not meet at one point and their lines of action do not lie on the same plane

Discussion

471.	The amplitude is always __________ radius of the circle.$?
A.	Equal to
B.	Less than
C.	Greater than
D.	None of these
Answer» B. Less than

Discussion

472.	The maximum efficiency of a lifting machine is$?
A.	1/m
B.	V.R./m
C.	m/V.R.
D.	1/(m ‚àö√≥ V.R.)
Answer» E.

Discussion

473.	If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point.$?
A.	Equal to
B.	Less than
C.	Greater than
D.	None of these
Answer» B. Less than

Discussion

474.	The unit of force in S.I. units is$?
A.	kilogram
B.	Newton
C.	Watt
D.	Dyne
Answer» C. Watt

Discussion

475.	In the shown figure, the tension (T) in the string will be$?
A.	m‚Äö√á√Ö. m‚Äö√á√á. g/(m‚Äö√á√Ö + m‚Äö√á√á)
B.	2m‚Äö√á√Ö. m‚Äö√á√á. g/(m‚Äö√á√Ö + m‚Äö√á√á)
C.	(m‚Äö√á√Ö + m‚Äö√á√á)/ m‚Äö√á√Ö. m‚Äö√á√á. g
D.	(m‚Äö√á√Ö + m‚Äö√á√á)/2m‚Äö√á√Ö. m‚Äö√á√á. g
Answer» C. (m‚Äö√á√Ö + m‚Äö√á√á)/ m‚Äö√á√Ö. m‚Äö√á√á. g

Discussion

476.	The moment of a force$?
A.	Is the turning effect produced by a force, on the body, on which it acts
B.	Is equal to the product of force acting on the body and the perpendicular distance of a point and the line of action of the force
C.	Is equal to twice the area of the triangle, whose base is the line representing the force and whose vertex is the point, about which the moment is taken
D.	All of the above
Answer» E.

Discussion

477.	A cable with a uniformly distributed load per horizontal meter run will take the following shape$?
A.	Straight line
B.	Parabola
C.	Hyperbola
D.	Elliptical
Answer» C. Hyperbola

Discussion

478.	The Cartesian equation of trajectory is (where u = Velocity of projection, ≈í¬± = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)$?
A.	y = (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±) + x. tan≈í¬±
B.	y = (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±) - x. tan≈í¬±
C.	y = x. tan≈í¬± - (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±)
D.	y = x. tan≈í¬± + (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±)
Answer» D. y = x. tan≈í¬± + (gx¬¨‚â§/2u¬¨‚â§ cos¬¨‚â§≈í¬±)

Discussion

479.	The force induced in the string AB due to the load W, as shown in the below figure is$?
A.	W sin≈í‚àè
B.	W cos≈í‚àè
C.	W sec≈í‚àè
D.	W cosec≈í‚àè
Answer» E.

Discussion

480.	A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act$?
A.	Downward at its upper end
B.	Upward at its upper end
C.	Zero at its upper end
D.	Perpendicular to the wall at its upper end
Answer» D. Perpendicular to the wall at its upper end

Discussion

481.	One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where ≈í¬• = Deflection of the spring.)$?
A.	2≈ì√Ñ. ‚Äö√ √∂(g/≈í¬•)
B.	1/2≈ì√Ñ. ‚Äö√ √∂(g/≈í¬•)
C.	2≈ì√Ñ. ‚Äö√ √∂(≈í¬•/g)
D.	1/2≈ì√Ñ. ‚Äö√ √∂(≈í¬•/g)
Answer» C. 2≈ì√Ñ. ‚Äö√ √∂(≈í¬•/g)

Discussion

482.	Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the width (b), is$?
A.	db¬¨‚â•/12
B.	bd¬¨‚â•/12
C.	db¬¨‚â•/36
D.	bd¬¨‚â•/36
Answer» C. db¬¨‚â•/36

Discussion

483.	A force while acting on a body may$?
A.	Change its motion
B.	Balance the forces, already acting on it
C.	Give rise to the internal stresses in it
D.	All of these
Answer» E.

Discussion

484.	Which one of the following statements is not correct?$?
A.	The tangent of the angle of friction is equal to coefficient of friction
B.	The angle of repose is equal to angle of friction
C.	The tangent of the angle of repose is equal to coefficient of friction
D.	The sine of the angle of repose is equal to coefficient to friction
Answer» E.

Discussion

485.	The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force.$?
A.	Less than
B.	Greater than
C.	Equal to
D.	None of these
Answer» C. Equal to

Discussion

486.	The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)$?
A.	2≈ì√Ñ. ‚Äö√ √∂(gh/kG¬¨‚â§ + h¬¨‚â§)
B.	2≈ì√Ñ. ‚Äö√ √∂(kG¬¨‚â§ + h¬¨‚â§/gh)
C.	1/2≈ì√Ñ. ‚Äö√ √∂(gh/kG¬¨‚â§ + h¬¨‚â§)
D.	1/2≈ì√Ñ. ‚Äö√ √∂(kG¬¨‚â§ + h¬¨‚â§/gh)
Answer» D. 1/2≈ì√Ñ. ‚Äö√ √∂(kG¬¨‚â§ + h¬¨‚â§/gh)

Discussion

487.	A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve$?
A.	Circular arc
B.	Parabola
C.	Hyperbola
D.	Elliptical
Answer» C. Hyperbola

Discussion

488.	The friction experienced by a body, when at rest, is known as$?
A.	Static friction
B.	Dynamic friction
C.	Limiting friction
D.	Coefficient of friction
Answer» B. Dynamic friction

Discussion

489.	The time of flight of a projectile on downward inclined plane depends upon$?
A.	Angle of projection
B.	Angle of inclination of the plane
C.	Both (A) and (B)
D.	None of these
Answer» D. None of these

Discussion

490.	Which of the following are vector quantities?$?
A.	Linear displacement
B.	Linear velocity
C.	Linear acceleration
D.	All of these
Answer» E.

Discussion

491.	The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as$?
A.	Principle of independence of forces
B.	Principle of resolution of forces
C.	Principle of transmissibility of forces
D.	None of these
Answer» C. Principle of transmissibility of forces

Discussion

492.	Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C.G. and parallel to the base, is$?
A.	bh3/4
B.	bh3/8
C.	bh3/12
D.	bh3/36
Answer» E.

Discussion

493.	A force is completely defined when we specify$?
A.	Magnitude
B.	Direction
C.	Point of application
D.	All of the above
Answer» E.

Discussion

494.	Two coplanar couples having equal and opposite moments$?
A.	Balance each other
B.	Produce a couple and an unbalanced force
C.	Are equivalent
D.	Cannot balance each other
Answer» E.

Discussion

495.	On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be$?
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.

Discussion

496.	Joule is the unit of$?
A.	Force
B.	Work
C.	Power
D.	Velocity
Answer» C. Power

Discussion

497.	The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is$?
A.	mr¬¨‚â§/3
B.	2mr¬¨‚â§/3
C.	2mr¬¨‚â§/5
D.	3mr¬¨‚â§/5
Answer» C. 2mr¬¨‚â§/5

Discussion

498.	The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is$?
A.	[‚Äö√ √∂(4p¬¨‚â§ - q¬¨‚â§)]/6
B.	(4p¬¨‚â§ - q¬¨‚â§)/6
C.	(p¬¨‚â§ - q¬¨‚â§)/4
D.	(p¬¨‚â§ + q¬¨‚â§)/4
Answer» B. (4p¬¨‚â§ - q¬¨‚â§)/6

Discussion

499.	When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.$?
A.	Directly proportional
B.	Inversely proportional
C.	Cube root
D.	None of these
Answer» B. Inversely proportional

Discussion

500.	In a framed structure, as shown in the below figure, the force in the member BC is$?
A.	W/‚Äö√ √∂3 (compression)
B.	W/‚Äö√ √∂3 (tension)
C.	2W/‚Äö√ √∂3 (compression)
D.	2W/‚Äö√ √∂3 (tension)
Answer» E.

Discussion

Explore topic-wise MCQs in Mechanical Engineering.

_Which of the following is a vector quantity?$?

_The moment of inertia of a solid cylinder of mass 'm', radius 'r' and length 'l' about the longitudinal axis or polar axis is$?

_The acceleration of a particle moving with simple harmonic motion, at any instant is given by$?

_Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity ‚Äö√Ñ√≤v‚Äö√Ñ√¥ is made to strike the second ball. Both the balls after impact will move with a velocity$?

_Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is$?

_If n = number of members and y = number of joints, then for a perfect frame, n = ?$?

_Which of the following is the locus of a point that moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one$?

_The range of a projectile is maximum, when the angle of projection is$?

_A trolley wire weighs 1.2 kg per meter length. The ends of the wire are attached to two poles 20 meters apart. If the horizontal tension is 1500 kg find the dip in the middle of the span$?

_The algebraic sum of moments of the forces forming couple about any point in their plane is$?

_A redundant frame is also called __________ frame.$?

_The C.G. of a plane lamina will not be at its geometrical centre in the case of a$?

_Which of the following statement is correct in connection with projectiles?$?

_Coefficient of friction depends upon$?

_A smooth cylinder lying on its convex surface remains in __________ equilibrium.$?

_A number of forces acting at a point will be in equilibrium, if$?

_The force, by which the body is attracted, towards the center of the earth, is called$?

_From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate. Find the e.g. of the remainder from the centre of circular plate$?

_Centre of gravity of a solid cone lies on the axis at the height$?

_Non-coplanar concurrent forces are those forces which$?

The amplitude is always __________ radius of the circle.$?

The maximum efficiency of a lifting machine is$?

If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point.$?

The unit of force in S.I. units is$?

In the shown figure, the tension (T) in the string will be$?

The moment of a force$?

A cable with a uniformly distributed load per horizontal meter run will take the following shape$?

The Cartesian equation of trajectory is (where u = Velocity of projection, ≈í¬± = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)$?

The force induced in the string AB due to the load W, as shown in the below figure is$?

A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act$?

One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where ≈í¬• = Deflection of the spring.)$?

Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the width (b), is$?

A force while acting on a body may$?

Which one of the following statements is not correct?$?

The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force.$?

The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)$?

A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve$?

The friction experienced by a body, when at rest, is known as$?

The time of flight of a projectile on downward inclined plane depends upon$?

Which of the following are vector quantities?$?

The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as$?

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C.G. and parallel to the base, is$?

A force is completely defined when we specify$?

Two coplanar couples having equal and opposite moments$?

On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be$?

Joule is the unit of$?

The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is$?

The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is$?

When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.$?

In a framed structure, as shown in the below figure, the force in the member BC is$?