33.
$$\omega $$ rad/sec is the angular velocity of a crank whose radius is r. If it makes $${\theta ^ \circ }$$ with inner dead centre and obliquity of the connecting rod $$l$$ is $$\varphi $$, the velocity v of the piston, is given by the equation

35.
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)

36.
The ratio of unit of force in gravitational system to that in absolute system is (where ‘$${\text{g}}$$’ is acceleration due to gravity)

37.
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

38.
A point subjected to a number of forces will be in equilibrium, if

39.
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

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