MEDIUM
JEE Main
IMPORTANT
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If the ice at the poles melts and flows towards the equator, how will it affect the duration of day-night?

Important Questions on Rotational Mechanics

HARD
JEE Main
IMPORTANT
A hollow sphere, a solid sphere, a disc and a ring all having same mass and radius are rolled down on an inclined plane. If no slipping takes place, which one will take the smallest time to cover a given length?
HARD
JEE Main
IMPORTANT
A sphere rolls on a horizontal surface. Is there any point of the sphere which has a vertical velocity?
HARD
JEE Main
IMPORTANT
Let A^ be a unit vector along the axis of rotation of a purely rotating body and B^ be a unit vector along the velocity of a particle P of the body away from the axis. What is the value of A^.B^?
EASY
JEE Main
IMPORTANT
A body is uniformly rotating about an axis fixed in an inertial frame of reference. Let A^ be a unit vector along the axis of rotation and B^ be the unit vector along the resultant force on a particle P of the body away from the axis. What is the value of A^.B^?
EASY
JEE Main
IMPORTANT
A particle moves with a constant velocity parallel to the x-axis. Its angular momentum with respect to the origin
 
MEDIUM
JEE Main
IMPORTANT
A body is in pure rotation. The linear speed v of a particle, the distance r of the particle from the axis and the angular velocity ω of the body are related as ω=vr· Thus, identify the correct statement from the following.
MEDIUM
JEE Main
IMPORTANT

Figure shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If x and y be the distances travelled by A and B in the same time interval, then:

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EASY
JEE Main
IMPORTANT
A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis is