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Engineering :: Applied Mechanics


31.  The statement --- if forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order then their resultant will be represented in magnitude and direction by the closing side of the polygon taken in opposite order ---- is known as
A. Lami's theorem B. Newton's law of forces
C. D'Alembert's rule D. Law of triangle of forces
E. Law of polygon of forces    

32.  The necessary condition of equilibrium of a body is
A. The algebraic sum of horizontal components of all forces must be zero B. The algebraic sum of vertical components of all forces must be zero
C. The algebraic sum of forces about a point must be zero D. All the above
E. None of the above    

33.  An electric motor drives a windless which hauls up a crate A of weight W = 500 kg up an inclined plane through a height of 10 m in 2 minutes. The torque acting on the windless is 25 kgm and the drum of the windless makes 30 rpm. The efficiency of the inclined plane would be
A. 26.50% B. 41%
C. 53.05% D. 61%
E. 66%    

34.  When a body moves round a fixed axis it will have
A. A circular motion B. A rotary motion
C. A translatory motion D. A swinging motion
E. A motion of rotation and translation    

35.  A ball of mass 1 kg moving with a velocity of 2 m/sec collides directly with a stationary ball of mass 2 kg. If the first ball comes to rest after the impact the velocity of second ball after impact will be
A. Zero B. 0.5 m/sec
C. 1.0 m/sec D. 1.5 m/sec
E. 2 m/sec    

36.  A flywheel weighs 400 kg and has a radius of gyration of 30 cm about its axis of rotation. It is mounted on a shaft subjected to a moment of 40 kgm. If the flywheel starts from restits speed after 3 seconds wil be
A. 10.9 rad/sec B. 19.0 rad/sec
C. 16.35 rad/sec D. 3.33 rad/sec
E. 51.2 rad/sec    

37.  A crate weighing 40 kg rests on a cart moving with an acceleration W. The coefficient of friction between the cart and the crate is
A. 0.25 m/sec2 B. 2.45 m/sec2
C. 1.25 m/sec2 D. 4.00 m/sec2
E. 4.16 m/sec2    

38.  A rigid body is suspended vertically at a point and oscillates with a small amplitude under the action of the force of gravity. Such an arrangement is called
A. Simple pendulum B. Newton's pendulum
C. Compound pendulum D. Second's pendulum
E. Rigid pendulum    

39.  The motion of a bicycle wheel is
A. Linear B. Rotary
C. Translatory D. Rotary as well as translatory
E. Curvilinear    

40.  A locomotive of weight 100 tonnes is attached to train of wagons weighing 1000 tonnes. The locomotive pulls the wagons with a constant velocity of 36 km/hour. When the coupling between the train and wagons breaks, the wagons roll on 95 m in 10 sec. The distance between the locomotive and the wagons at this instant assuming that the forces acting on the train are unaltered would be
A. 0.36 m B. 0.44 m
C. 0.5 m D. 0.66 m
E. 0.77 m.    




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