MEDIUM
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With what minimum speed must a small ball be pushed inside a smooth vertical tube from a height so that it may reach the top of the tube?

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

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Important Questions on Circular Motion
HARD
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IMPORTANT
A smooth sphere of radius is made to in a straight line with constant acceleration . A particle kept on top of the sphere is released from there with zero velocity w.r.t. sphere. The speed of particle
w.r.t sphere as a function of is,


HARD
MHT-CET
IMPORTANT
Tangential acceleration of a particle moving on a circle of radius varies with time as shown in the graph (initial velocity of the particle is zero). Time after which total acceleration of particle makes an angle of with radial acceleration is


MEDIUM
MHT-CET
IMPORTANT
A bob attached to a string is held horizontal and released. The tension and vertical distance from point of suspension can be represented by

EASY
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IMPORTANT
A ball enters a semicircular tube with velocity v and maintains a constant velocity. Find the average force required to keep the tube stable.


EASY
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IMPORTANT
Consider an object of mass that moves in a circular orbit with constant velocity along the inside of a cone. Assume the wall of the cone to be frictionless. Find the radius of the orbit.


EASY
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IMPORTANT
A bullet is moving horizontally with certain velocity. It pierces two paper discs rotating coaxially with angular speed separated by a distance . If the hole made by bullet on second disc is shifted by an angle with respect to the first, find velocity of bullet.

EASY
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IMPORTANT
Given is the graph for a car wheel, where brakes produce an angular acceleration Which of the following can be the form of graph?

MEDIUM
MHT-CET
IMPORTANT
A cyclist is going on an overbridge with constant speed. The value of frictional force acting on the cycle

