Applied Mechanics and Graphic Statics MCQs

A solid sphere of mass M and radius R rolls down a plane inclined at $$\theta $$ with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

The ratio of unit of force in gravitational system to that in absolute system is (where ‘$${\text{g}}$$’ is acceleration due to gravity)

A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

A point subjected to a number of forces will be in equilibrium, if

If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is

Minimum potential energy of a system will be in the position of

If the given forces P1, P2, P3 and P4 are such that the force polygon does not close, then the system will

A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan-1x, where x is

A ladder of weight 'w' rests against a smooth vertical wall and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being $$\frac{1}{4}$$. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan-1x, where x is