Torque

A uniform rod of length and mass is free to rotate in a vertical plane about . The rod, initially in the horizontal position, is released. The initial angular acceleration of the rod is: (Moment of inertia of the rod about is )
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If is the force acting on a particle having position vector and be the torque of this force about the origin, then:

is an equilateral triangle with as its centre. and represent three forces acting along the sides and respectively. If the total torque about is zero, then the magnitude of is:

A rod of mass and length is hinged at end . The rod is kept horizontal by a massless string tied to point as shown in the figure. When the string is cut, the initial angular acceleration of the rod is: 

An automobile moves on a road with a speed of The radius of its wheels is m and the moment of inertia of the wheel about its axis of rotation is If the vehicle is brought to rest in s, the magnitude of average torque transmitted by its brakes to the wheel is:

The moment of the force, at point ( ) about the point ( ) is given by:

A solid cylinder of mass and radius is rotating about its axis at the rate of The torque required to stop after revolutions is:
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A uniform rod of length and mass is balanced on a wedge placed at mark. A mass of is suspended from the rod at and another unknown mass is suspended from the rod at mark as shown in the figure. What would be the value of such that the rod is in equilibrium?
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