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An automobile moves on a road with a speed of The moment of inertia about its axis of rotation is . If the vehicle is brought to rest in , the magnitude of average torque transmitted by its brakes to the wheel is
(a)
(b)
(c)
(d)

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Important Questions on Rotational Mechanics
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NEET
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Point masses and are placed at the opposite ends of a rigid rod of length , and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity is minimum, is given by:-

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IMPORTANT
The radius of a rotating sphere decreases by keeping the mass constant, the change in its rotational kinetic energy ?

MEDIUM
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What will be the value of the maximum acceleration of the truck in the forward direction so that the block kept on, the back does not topple?

EASY
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From a disc of radius and mass , a circular hole of diameter , whose rim passes through the centre of the disc is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis passing through the centre of the disc?

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A disc and a sphere of the same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?

MEDIUM
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IMPORTANT
Two rotating bodies and of masses and with moments of inertia and have equal kinetic energy of rotation. If and be their angular momenta respectively, then

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IMPORTANT
A solid sphere of mass And radius Is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation Will be

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NEET
IMPORTANT
A light rod of length has two masses and attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is
