Applied Mechanics MCQ Questions & Answers

Applied Mechanics MCQs : This section focuses on the "Applied Mechanics". These Multiple Choice Questions (MCQs) should be practiced to improve the Applied Mechanics skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

A projectile is thrown at an angle a to the horizontal with α velocity v. It will have the maximum centripetal acceleration

A. at the start

B. at the top of the trajectory

C. as it strikes the ground

D. else where.

Question 2

Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

A. 20 kg

B. 25 kg

C. 30 kg

D. 35 kg

Question 3

The length of a Second's pendulum, is

A. 99.0 cm

B. 99.4 cm

C. 100 cm

D. 101 cm

Question 4

The C.G. of a right circular cone lies on its axis of symmetry at a height of

A. h/2

B. h/3

C. h/4

D. h/5

Question 5

The forces which meet at one point and have their lines of action in different planes are called

A. coplaner non-concurrent forces

B. non-coplaner concurrent forces

C. non-coplaner non-current forces

D. intersecting forces

Question 6

A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be

A. 3t3 - 2t

B. 3t2 + 2t

C. 6t - 2

D. 6t + 2

Question 7

The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

A. 188.5 m/sec

B. 18.85 m/sec

C. 1.885 m/sec

D. 0.18845 m/sec.

Question 8

Joule is the unit of

A. work

B. force

C. power

D. torque

Question 9

If three rigid rods are hinged together to form a triangle and are given rotary as well as translatory motion, the number of instantaneous centres of the triangle, will be

A. 1

B. 2

C. 3

D. 4

Question 10

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 efficiency of the lifting machine is

A. 50%

B. 40%

C. 55%

D. 30%.

Question 11

A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be

A. 0.01 m/sec

B. 0.05 m/sec

C. 1.00 m/sec

D. 1.5 m/see.

Question 12

The centre of gravity of a triangle is at the point where three

A. medians of the triangle meet

B. perpendicular bisectors of the sides of the triangle meet

C. bisectors of the angle of the triangle meet

D. none of these.

Question 13

Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

A. its longer side"

B. its shorter side"

C. the diagonal of the parallelogram which does not pass through the point of intersection of the forces"

D. the diagonal of the parallelogram which passes through the point of intersection of the forces"

Question 14

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. 500 metres

B. 1000 metres

C. 1500 metres

D. 2000 metres

Question 15

A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is

A. 40 kg

B. 60 kg

C. 10 kg

D. 100 kg.

Question 16

One Newton force, is

A. 103 dynes

B. 104 dynes

C. 105 dynes

D. 106 dynes

Question 17

A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be

A. 200 tonnes at the centre

B. 500 tonnes at the centre

C. 200 tonnes at the right support

D. 200 tonnes at the left support.

Question 18

The locus of the instantaneous centre of a moving rigid body, is

A. straight line

B. involute

C. centroid

D. spiral.

Question 19

If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is

A. 8°

B. 9°

C. 10°

D. 11°

Question 20

The tension in a cable supporting a lift

A. is more when the lift is moving downwards

B. is less when the lift is moving upwards

C. remains constant whether its moves downwards or upwards

D. is less when the lift is moving downwards.

Question 21

If the gravitational accelerational at any place is doubled, the weight of a body, will

A. be reduced to half

B. be doubled

C. not be affected

D. none of these.

Question 22

A satellite moves in its orbit around the earth due to

A. Gravitational force

B. Centripetal force

C. Centrifugal force

D. none of these.

Question 23

Which one of the following statements is true ?

A. The tangent of the angle of friction is equal to coefficeint 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. All the above.

Question 24

At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is

A. 7 km/hrs

B. 2 km/hrs

C. 1 km/hrs

D. 10 km/hrs

Question 25

The product of mass and velocity of a moving a body, is called

A. moment

B. momentum

C. power

D. impulse.

Question 26

The angle which an inclined surface makes with the horiontal when a body placed on it is on the point of moving down, is called

A. angle of repose

B. angle of friction

C. angle of inclination

D. none of these.

Question 27

If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with

A. a uniform retardation

B. a uniform acceleration

C. a variable acceleration

D. a variable retardation

Question 28

The equation of motion of a particle starting from rest along a straight line is x = t3 - 3t2 + 5. The ratio of the accelerations after 5 sec and 3 sec will be

A. 2

B. 3

C. 4

D. 5

Question 29

The unit of Moment of Inertia of a body, is

A. m

B. m2

C. m3

D. m4

Question 30

When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as

A. imaginary work

B. negative work

C. virtual work

D. none of these.

Question 31

To attain the synchronous orbit, the launch of a satellite, is done from a place

A. on equator

B. on 30° latitude

C. on 45° latitude

D. on 60° latitude

Question 32

A string of length 90 cm is fastened to two points A and B at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force P is applied to the ring such that it is in equilibrium vertically below B. The value of P is :

A. 40 g

B. 60 g

C. 80 g

D. 100 g.

Question 33

The total time of collision and restitution of two bodies, is called

A. time of collision

B. period of collision

C. period of impact

D. all the above.

Question 34

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

A. 0.02 m

B. 2 m

C. 2.5 m

D. 20 m.

Question 35

The Law of Polygon of Forces states that

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

B. 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

C. 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

D. if forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium.

Question 36

Engineer's units of force, is

A. Newton in absolute units

B. Dyne in absolute units

C. Newton and dyne in absolute units

D. All the above.

Question 37

Work may be defined as

A. force x distance

B. force x velocity

C. force x acceleration

D. none of these.