EASY
JEE Advanced
IMPORTANT
Earn 100
A body is moving in a circular path with a constant speed. It has
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Important Questions on Circular Motion
MEDIUM
JEE Advanced
IMPORTANT
A particle is moving along a circular path with a uniform speed. Through what angle does its angular velocity change when it completes half of the circular path?
MEDIUM
JEE Advanced
IMPORTANT
A particle is moving along a circular path. The angular velocity, linear velocity, angular acceleration, and centripetal acceleration of the particle at any instant, respectively, are and . Which of the following relations is not correct?
MEDIUM
JEE Advanced
IMPORTANT
The angular velocity of a particle moving in a circle of radius is increased in from revolutions per minute to revolutions per minute. Find the tangential acceleration of the particle.
MEDIUM
JEE Advanced
IMPORTANT
A vehicle is moving with a velocity on a curved road of width and radius of curvature . For counteracting the centrifugal force on the vehicle, the difference in elevation required in between the outer and inner edges of the rod is
HARD
JEE Advanced
IMPORTANT
A circular road of radius has banking angle . The maximum safe speed (in ) of a car having a mass will be (if the coefficient of friction between tyre and road is ).
HARD
JEE Advanced
IMPORTANT
A circular table of radius has a smooth diametrical groove. A ball of mass is placed inside the groove along with a spring of spring constant . One end of the spring is tied to the edge of the table and the other end to the ball. The ball is at a distance of from the centre when the table is at rest. On rotating the table with a constant angular frequency of , the ball moves away from the centre by a distance nearly equal to
HARD
JEE Advanced
IMPORTANT
A coin is placed at the edge of a horizontal disc rotating about a vertical axis through its axis with a uniform angular speed . The radius of the disc is . Find the minimum coefficient of friction between disc and coin so that the coin does not slip .
HARD
JEE Advanced
IMPORTANT
A man revolves a stone of mass tied to the end of a string in a vertical circle of radius . The net forces at the lowest and highest points of the circle directed vertical downwards are: [Here (and ) denote the tension in the string (and the speed of the stone) at the lowest and highest points, respectively.]
