Engineering Mechanics

Q1: If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be

A same

B half

C double

Q2: Which of the following is an equation of linear motion?(where, u and v = Initial and final velocity of the body, a = Acceleration of the body, and s = Displacement of the body in time t seconds.)

A v = u + a.t

B s = u.t + 1/2 a.t2

C v2 = u2+2a.s

D all of these

Q3: Static friction is always __________ dynamic friction.

A equal to

B less than

C greater than

Q4: The velocity ratio in case of an inclined plane inclined at angle θ to the horizontal and weight being pulled up the inclined plane by vertical effort is

A sin θ

B cos θ

C tan θ

D cosec θ

Q5: The angle of inclination of a vehicle when moving along a circular path __________ upon its mass.

A depends

B does not depend

Q6: When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known as

A simple pendulum

B compound pendulum

C torsional pendulum

D second's pendulum

Q7: The maximum frictional force, which comes into play, when a body just begins to slide over the surface of the other body, is known as

A static friction

B dynamic friction

C limiting friction

D coefficient of friction

Q8: 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

Q9: The centre of gravity of an equilateral triangle with each side a, is __________ from any of the three sides.

A 3a/2

B 23a

C a/23

D 32a

Q10: The total time taken by a projectile to reach maximum height and to return back to the ground, is known as time of flight.

A Yes

B No

Q11: 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

Q12: When a particle moves along a circular path with uniform velocity, there will be no tangential acceleration.

A Correct

B Incorrect

Q13: Work done is said to be zero, when

A some force acts on a body, but displacement is zero

B no force acts on a body but some displacement takes place

C either (a) or (b)

D none of the above

Q14: The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction.

A equal to

B less than

C greater than

Q15: The unit of angular acceleration is

A N-m

B m/s

C m/s2

D rad/s2

Q16: If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body having mass m1 is __________ the momentum of body having mass m2.

A equal to

B less than

C greater than

Q17: The force which acts along the radius of a circle and directed away from the centre of the circle is called centrifugal force.

A Agree

B Disagree

Q18: Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is

A

B

C

D

Q19: One watt is equal to

A 0.1 joule/s

B 1 joule/s

C 10 joules/s

D 100 joules/s

Q20: The angle between two forces when the resultant is maximum and minimum respectively are

A 0° and 180°

B 180° and 0°

C 90° and 180°

D 90° and 0°

Q21: During elastic impact, the relative velocity of the two bodies after impact is __________ the relative velocity of the two bodies before impact.

A equal to

B equal and opposite to

C less than

D greater than

Q22: The bodies which rebound after impact are called

A inelastic bodies

B elastic bodies

C neither elastic nor inelastic bodies

D none of these

Q23: A redundant frame is also called __________ frame.

A perfect

B imperfect

C deficient

Q24: The distance, between the point of projection and the point where the projectile strikes the ground, is known as range.

A Correct

B Incorrect

Q25:
The above figure shows the two equal forces at right angles acting at a point. The value of force R acting along their bisector and in opposite direction is

A P/2

B 2P

C

D

Q26: If a number of forces are acting at a point, theirresultant will be inclined at an angle θ with the horizontal, such that

A tan θ = ∑H/∑V

B tan θ = ∑V/∑H

C tan θ = ∑Vx∑H

D

Q27: The friction experienced by a body, when in motion, is known as

A rolling friction

B dynamic friction

C limiting friction

D static friction

Q28: The range of a projectile is maximum, when the angle of projection is

A 30°

B 45°

C 60°

D 90°

Q29: The term 'force' may be defined as an agent which produces or tends to produce, destroys or tends to destroy motion.

A Agree

B Disagree

Q30: two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. It the line of action of the resultant is 6 mm from any given force, the two forces are

A 15 N and 5 N

B 20 N and 5 N

C 15 N and 15 N

D none of these

Q31: The coefficient of restitution for elastic bodies is one.

A Correct

B Incorrect

Q32: The mechanical advantage of a lifting machine is the ratio of

A distance moved by effort to the distance moved by load

B load lifted to the effort applied

C output to the input

D all of the above

Q33: If the resultant of two equal forces has the same magnitude as either of the forces, then the angle between the two forces is

A 30°

B 60°

C 90°

D 120°

Q34: If two blocks of equal mass are attached to the two ends of a light string and one of the blocks is placed over a smooth horizontal plane while the other is hung freely after passing over a smooth pulley, then the two blocks will have some motion.

A Agree

B Disagree

Q35: Mass moment of inertia of a uni form thin rod of mass M and length (l) about its mid-point and perpendicular to its length is

A

B

C

D

Q36: A smooth cylinder lying on its convex surface remains in __________ equilibrium.

A stable

B unstable

C neutral

Q37: The range of projectile on a downward inclined plane is __________ the range on upward inclined plane for the same velocity of projection and angle of projection.

A less than

B more than

C equal to

Q38: According to principle of conservation of energy, the total momentum of a system of masses in any direction remains constant unless acted upon by an external force in that direction.

A True

B False

Q39: The path of the projectile is a parabola.

A True

B False

Q40: In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will

A increase

B decrease

C remain the same

Q41: Coefficient of friction is the ratio of the limiting friction to the normal reaction between the two bodies.

A Yes

B No

Q42: A body will begin to move down an inclined plane if the angle of inclination of the plane is __________ the angle of friction.

A equal to

B less than

C greater than

Q43: A resultant force is a single force which produces the same effect as produced by all the given forces acting on a body.

A True

B False

Q44: Moment of inertia of a circular section about an axis perpendicular to the section is

A πd3/16

B πd3/32

C πd4/32

D πd4/64

Q45: Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the ball with velocity v is made to struck the second ball. Both the balls after impact will move with a velocity

A v

B v/2

C v/4

D v/8

Q46: The time of flight (t) of a projectile on an upward inclined plane is(where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

A

B

C

D

Q47: The triangle law of forces states that if two forces acting simultaneously on a particle, be represented in magnitude and direction by the two sides of a triangle taken in order, then their resultant may be represented in magnitude and direction by the third side of a triangle, taken in opposite order.

A True

B False

Q48: A body of weight W is required to move up on rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by(where μ = tanφ = Coefficient of friction between the plane and the body.)

A P = W tanα

B P = W tan(α + φ)

C P = W (sinα + μcosα)

D P = W (cosα + μsinα)

Q49: The frequency of oscillation of a torsional pendulum is

A

B

C

D

Q50: The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is

A

B

C

D


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