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Engineering :: Applied Mechanics


61.  A cannon of barrel length 2 m fires a shell of weight 6 kg with a muzzle velocity of 50 m/sec. The force exerted by the gases on the shell would be approximately
A. 152 t B. 76 t
C. 38 t D. 19 t
E. 8.5 t    

62.  A gun fires shell with a muzzle velocity of 600 m/sec. The angle of inclination of the gun so that the shell hits a target at a distance of 32 km at level 100 m higher than the gun would be approximately?
A. 60? B. 45?
C. 30? D. 15?
E. Either of (A) and (C)    

63.  A stone of wight 100 kg is thrown vertically upwards by a man of height y = 1.8 m with an initial velocity of 20 m/sec. The maximum height to which it will rise would be
A. 10 m B. 15.1 m
C. 20.2 m D. 22.2 m
E. 26 m    

64.  A cage weighing 200 kg is lowered down a mine shaft with uniform acceleration. In the first 5 sec the cage reaches a depth of 20 m. The tension in the cord lowering the cage would be
A. 200 kg B. 167.2 kg
C. 836 kg D. 41.8 kg
E. 100 kg    

65.  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. 90 m
C. 63.7 m D. 31.85 m
E. 95.55 m    

66.  A stone is dropped into a deep shaft without any initial velocity. The sound of the stone hitting the bottom is heard after 4 seconds. If the velocity of sound is 330 m/sec the depth of the shaft will be
A. 660 m B. 330 m
C. 165 m D. 66.2 m
E. 33.1 m    

67.  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    

68.  A body of weight 100 kg is placed on a horizontal plane. A horizontal force of 30 kg is applied and the block is just on the point of motion. The angle of friction is
A. About 16? B. 30?
C. 45? D. 60?
E. None of the above    

69.  A 5 m ladder of mass 25 kg is placed in a position where its inclination to a vertical wall is at 30?. A 100 kg man is to climb the ladder. If the coefficient of static friction is 0.25 the height along ladder at which the slipping will be induced would be
A. 0.5 m B. 0.8 m
C. 1.2 m D. 1.6 m
E. 2.4 m    

70.  A particle inside a hollow sphere of internal radius r with coefficient of friction 1/?3 can rest upto height of
A. 0.125 r B. 0.134 r
C. 0.18 r D. 0.25 r
E. 0.435 r    




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