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A frictionless track ends in a circular loop of radius A body slides down the track from the point which is at a height Maximum value of for the body to successfully complete the loop is


(a)
(b)
(c)
(d)

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Important Questions on Circular Motion
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Assertion: For looping a vertical loop of radius the minimum velocity at the lowest point should be
Reason: Velocity at the highest point would be zero.

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A flywheel at rest is reached to an angular velocity of in with a constant angular acceleration. The total angle turned during this interval is

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An engine requires to go from a speed of to with constant acceleration. How many revolutions does it make in this period?

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A wheel of a vehicle is rotated to a uniform angular acceleration about its axis. Initially its angular velocity is zero. It rotates through an angle in the first and in the next it rotates through an additional angle The ratio of is

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When a ceiling fan is switched off, its angular velocity reduces to while it makes rotations. How many more rotations will it make before coming to rest? (Assume uniform angular retardation)

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A particle is moving in a circle of radius centered at with constant speed What is the change in velocity in moving from to if

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A particle moves along a circle of radius with a constant tangential acceleration. If the velocity of the particle is at the end of the revolution after motion has begun, the tangential acceleration is

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A stone of mass tied to a light inextensible string of length is whirling in a circular path in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension is and if is taken to be the speed of the stone at the highest point of the circle is
