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310+ Applied Mechanics Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Mechanical Engineering .

201.

The angular velocity of earth is

A. 0.00727 sec-1
B. 0.000727 sec-1
C. 0.0000727 sec-1
D. 0.00000727 sec-1
E. None of the above
Answer» C. 0.0000727 sec-1
202.

The torque of 50 Nm is applied on the wheel operating a valve. If the wheel is rotated through two revolutions, work done in Newton-metres is given by

A. 628
B. 107 dynes
C. 314
D. 25
E. 100
Answer» A. 628
203.

In a single threaded worm and worm wheel the number of teeth on the worm wheel is 80. The diameter of the effort wheel is 12 cm and that of load drum is 8 cm. The velocity ratio will be

A. 60
B. 45
C. 120
D. 107 dynes
E. 90
Answer» C. 120
204.

A horizontal load of 120 kg/mt is to be carried by a cable suspended between supports at same level and 60 mts apart. If the maximum permissible tension is 36,000 kg the required length of cable is

A. 63.3 mets
B. 62.5 mts
C. 60.8 mts
D. 107 dynes
E. 60.1 mts
Answer» E. 60.1 mts
205.

For a self locking lifting machine, the efficiency must be

A. 50 percent
B. 100 percent
C. more than 50 percent
D. 107 dynes
E. less than 50 percent
Answer» E. less than 50 percent
206.

The periodic time of a body moving in Simple Harmonic Motion is

A. Directly proportional to its angular velocity
B. Directly proportional to the weight of the body
C. Inversely proportional to the square of angular velocity
D. Directly proportional to the momentum of swinging body
E. Inversely proportional to the angular velocity
Answer» E. Inversely proportional to the angular velocity
207.

A grinding wheel rotates at 3000 rpm. When power supply is cut-off the wheel stops in 10 seconds. The number of revolutions made by the wheel before coming to rest would be

A. 1500
B. 3000
C. 1000
D. 250
E. 500
Answer» D. 250
208.

A satellite orbits around the earth due to

A. Celestial force
B. Gravitational force
C. Centrifugal force
D. Centripetal force
E. All of the above
Answer» C. Centrifugal force
209.

A 2 m long shaft rotates about one end at 20 rad/s. It begins to accelerate with ? = 10 rads/s2. After how long, in seconds, will the velocity of the free end reach 100 m/s?

A. 3
B. 107 dynes
C. 5
D. 6
E. 7
Answer» A. 3
210.

The resultant of a force acting on a body will be zero, if the body

A. Rotates with uniform acceleration
B. Moves along a curved path
C. Rotates
D. Does not rotate
E. Rotates with uniform deceleration
Answer» D. Does not rotate
211.

What will be the duration of day and night if the earth shrinks to half the present radius?

A. 6 hours
B. 12 hours
C. 107 dynes
D. 3 hours
E. 24 hours
Answer» A. 6 hours
212.

If you want to stop the car in the shortest distance on an icy road, you should

A. 107 dynes
B. not apply the brakes
C. pump' the brakes
D. push hard the brakes to lock the wheels
E. push just hard enough to prevent slipping
Answer» E. push just hard enough to prevent slipping
213.

A man pulls a cart with 100 N force from rest with an acceleration of 10 m/sec2 for 10 seconds. The work done by him is

A. 500 KJ
B. 50.96 KJ
C. 101.92 KJ
D. None of the above
E. Tapered bearing
Answer» A. 500 KJ
214.

The shape of a suspended cable under its own weight is

A. Catenary
B. Elliptical
C. Cycloidal
D. Semi-circle
E. Parabolic
Answer» A. Catenary
215.

TIES : STRUTS :

A. purlins : piers
B. angle : tee
C. rolle support : hinge
D. compression : tension
E. 107 dynes
Answer» D. compression : tension
216.

The angle which an inclined surface makes with the horizontal when a body placed on it is on the point moving down is known as

A. Angle of friction
B. Angle of limiting friction
C. Angle of inclination
D. Angle of repose
E. None of the above
Answer» D. Angle of repose
217.

The radius of gyration of a solid sphere of radius r is equal to

A. 0.8 r2
B. 0.2 r2
C. 0.3 r2
D. 0.4 r2
E. 0.5 r2
Answer» D. 0.4 r2
218.

Ice is slippery when a man walks on it because

A. Increase of pressure causes it to melt
B. Ice is brittle
C. There is no friction
D. It is very chill
E. Its surface is smooth
Answer» A. Increase of pressure causes it to melt
219.

The mass, in kg, of the earth if its radius is 6400 km, will be

A. 6 x 1024
B. 6 x 1025
C. 107 dynes
D. 6 x 1023
E. 6 x 1022
Answer» A. 6 x 1024
220.

In a single threaded worm and worm wheel the number of teeth on the worm wheel is 60. The diameter of the effort wheel is 12 cm and that of load drum is 8 cm. The velocity ratio will be

A. 90
B. 120
C. 60
D. 45
E. 107 dynes
Answer» A. 90
221.

A particle of mass M moves towards right with a velocity 2 V along the x-axis and another of mass 2 M with a velocity V towards left (- x axis). After the collision (they stick together on colliging) they will

A. come to rest
B. 107 dynes
C. move towards right
D. may move in any direction
E. move towards left
Answer» C. move towards right
222.

A cannon of weight 10 tonnes fires a shell of 50 kg with a muzzle velocity of 900 m/sec at an angle of 30?. The time taken for the shell to emerge from the barrel is 0.004 sec. The velocity of the cannon would be

A. 3.9 m/sec
B. 7.8 m/sec
C. 8.95 m/sec
D. 1.95 m/sec
E. 5.85 m/sec
Answer» A. 3.9 m/sec
223.

A car is travelling at 90 km/hour on a rough road where the coefficient of friction between the road and the tyre is 0.5. The distance the car will skid before stopping when the brakes are jammed suddenly would be

A. 127.4 m
B. 95.55 m
C. 63.7 m
D. 31.85 m
E. 90 m
Answer» C. 63.7 m
224.

One newton is equal to

A. 106 dynes
B. 105 dynes
C. 104 dynes
D. 103 dynes
E. 107 dynes
Answer» B. 105 dynes
225.

In the third system of pulleys, if there are n number of pulleys then the velocity ratio of the system will be

A. 2n - 2
B. n
C. 107 dynes
D. 2n-1
E. 2n
Answer» D. 2n-1
226.

For perfectly elastic bodies the value of the coefficient of restitution is

A. 0.707
B. 0.5
C. 1
D. 0.25
E. Zero
Answer» A. 0.707
227.

A satellite launch station should be

A. 107 dynes
B. near the equatorial region
C. all the locations are equally good
D. one the polar axis
E. near the polar region
Answer» B. near the equatorial region
228.

The direction of projection for the range of a projectile to be maximum on an inclined plane having angle of inclination 30? to the horizontal, whould be

A. 45? with horizontal
B. 30? with vertical
C. 30? with horizontal
D. 60? with inclined plane
E. 45? with inclined plane
Answer» B. 30? with vertical
229.

If for power transmission a gear train consisting of 8 gears is used, then

A. the motion of driver and follower will be in the same direction
B. the motion of driver and follower will be in the opposite directions
C. either of (A) or (B) above
D. None of the above
E. 107 dynes
Answer» B. the motion of driver and follower will be in the opposite directions
230.

A train travels between two stations 15 km, apart in 18 minutes. If the train accelerates for a part of journey uniformly followed by uniform relardation, the maximum speed attained by the train, during, the journey, will be

A. 60 km/hr
B. 80 km/hr
C. 125 km/hr
D. 100 km/hr
E. 107 dynes
Answer» D. 100 km/hr
231.

The tension T1 will be

A. 5 N
B. 20 N
C. 60 N
D. 10 N
E. 107 dynes
Answer» D. 10 N
232.

A imaginary planet has half the mass and half the radius of the earth. The acceleration of gravity at its surface would be

A. 9.8 m/s2
B. 107 dynes
C. 4.9 m/s2
D. 19.6 m/s2
E. 2.45 m/s2
Answer» D. 19.6 m/s2
233.

The principle of conservation of energy cannot be applied in case of

A. Flow of heat through a metal
B. Ideal flow of water in a pipe
C. Simple pendulum
D. Sliding of a particle along inclined plane with friction
E. A particle moving in gravitational field
Answer» E. A particle moving in gravitational field
234.

A truss element

A. 107 dynes
B. resists lateral forces
C. is a two-force body
D. is a three force body
E. resist forces in compression only
Answer» C. is a two-force body
235.

Impulse can be obtained from

A. force-time diagram
B. velocity-time diagram
C. 107 dynes
D. force displacement diagram
E. velocity-displacement diagram
Answer» A. force-time diagram
236.

A mass of 5 kg moves on a smooth horizontal plane with a speed of 8 m/s attached to a fixed point on the plane by a string of length 4m. Tension in the string is

A. 785
B. 80N
C. 392.4N
D. None of the above
E. Tapered bearing
Answer» B. 80N
237.

The area under stress-strain curve represents

A. Hardness of material
B. Breaking strength of the material
C. Energy required to cause failure
D. Toughness of material
E. Malleabbility of material
Answer» C. Energy required to cause failure
238.

A flywheel 200 cm in diameter is rotating at 100 rpm. A point on the rim of the flywheel will not have

A. angular velocity
B. centripental acceleration
C. tangential acceleration
D. all of the above
E. 107 dynes
Answer» C. tangential acceleration
239.

A block of weight 20 kg slides with an initial velocity of 2 m sec down an inclined plane on to a spring of stiffness 10 kg/cm. If the co--efficient of friction is 0.2, angle ? = 30 the ratio of maximum compession of spring, neglecting friction to that while considering friction would be

A. More than one
B. One
C. Less than one
D. Depends on the stiffness of spring
E. None of the above
Answer» A. More than one
240.

A jet engine works on the principle of

A. Conservation of energy
B. Conservation of mass and momentum
C. Conservation of linear mementum
D. Conservation of energy and momentum
E. Conservation of mass
Answer» C. Conservation of linear mementum
241.

The angular velocity of seconds hand of a watch is

A. 0.01745 sec-1
B. 0.00001745 sec-1
C. 0.0001745 sec-1
D. 0.001745 sec-1
E. 0.1047 sec-1
Answer» D. 0.001745 sec-1
242.

A uniform cylinder of weight W is rolling while slipping on a rough horizontal surface under the influence of a horizontal force. The force of friction between the cylinder and the surface is

A. Proportional to the coefficient of static friction
B. Proportional to the coefficient of dynamic friction
C. Indeterminate
D. Determinate but depends on the acceleration of the cylinder
E. None of the above
Answer» C. Indeterminate
243.

The statement ---- if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two ---- is known as

A. Law of polygon of forces
B. D'Alembert's principle
C. Newtons law of forces
D. Lami's theorem
E. Law of triangle of forces
Answer» D. Lami's theorem
244.

The dimensions of modulus of elasticity are

A. MLT-2
B. 107 dynes
C. MLT-1
D. ML-2T-1
E. ML-1T-2
Answer» E. ML-1T-2
245.

A sphere of radius r is cut from larger sphere of radius R. The distance between their centre is a. The centroid of the remaining valoume lies on the line of centres and the sistanc from the centre of the larger sphere is

A. ar2 / (R2 - r2)
B. 107 dynes
C. aR/(R2-r2)
D. aR/(R - r)
E. ar3 / (R3 - r3)
Answer» E. ar3 / (R3 - r3)
246.

For a perfect frame having 13 members the number of joints must be

A. 8
B. 6
C. 7
D. 107 dynes
E. 9
Answer» A. 8
247.

When a body moves round a fixed axis it will have

A. A motion of rotation and translation
B. A circular motion
C. A rotary motion
D. A translatory motion
E. A swinging motion
Answer» B. A circular motion
248.

A ball is dropped from a height of 2.25 m on a smooth floor and it rises to a height of 1 m after the first bounce. The coefficient of restitutions between the ball and the floor is

A. 107 dynes
B. 0.33
C. 0.44
D. 0.57
E. 0.67
Answer» E. 0.67
249.

The work done in sliding a block of weight of 50 kg up a plane inclined at an angle of 30? to the horizontal so that the block is lifted through 1 m

A. More than 50 kgm
B. 50 kgm
C. Less than 5 kgm
D. 15 kgm only
E. None of the above
Answer» A. More than 50 kgm
250.

For perfectly elastic bodies, the value of the coefficient of restitution is

A. 1
B. 0.372
C. 0.5
D. Zero
E. Any value between 0 and 1
Answer» A. 1

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