HARD
JEE Main
IMPORTANT
Earn 100

A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower end and is free to rotate in the vertical plane. The upper end is pushed so that the rod falls under gravity. Ignoring the friction due to clamping at its lower end, the speed of the free end of the rod when it passes through its lowest position is ______ m s-1.
(Take g=10 m s-2 )

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Important Questions on Rotational Motion

HARD
JEE Main
IMPORTANT
A circular disc reaches from top to bottom of an inclined plane of length L. When it slips down the plane, it takes time  t1. When it rolls down the plane, it takes time t2. The value of t2t1 is 3x. The value of x will be
EASY
JEE Main
IMPORTANT
A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic energy. The body is:
MEDIUM
JEE Main
IMPORTANT
Two bodies, a ring and a solid cylinder of same material are rolling down without slipping an inclined plane. The radii of the bodies are same. The ratio of velocity of the centre of mass at the bottom of the inclined plane of the ring to that of the cylinder is x2. Then, the value of x is
MEDIUM
JEE Main
IMPORTANT
Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter. The correct statement for this situation is 
EASY
JEE Main
IMPORTANT

The position of the centre of mass of a uniform semi-circular wire of radius R placed in x-y plane with its centre at the origin and the line joining its ends as x-axis is given by, 0, xRπ. Then, the value of |x| is          .

MEDIUM
JEE Main
IMPORTANT
The centre of a wheel rolling on a plane surface moves with a speed v0. A particle on the rim of the wheel at the same level as the centre will be moving at a speed xv0. Then the value of x is           .
EASY
JEE Main
IMPORTANT

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: Moment of inertia of a circular disc of mass M and radius R about X,Y axes (passing through its plane) and Z-axis which is perpendicular to its plane were found to be Ix,Iy and Iz, respectively. The respective radii of gyration about all the three axes will be the same.

Reason R: A rigid body making rotational motion has fixed mass and shape. In the light of the above statements, choose the most appropriate answer from the options given below:

EASY
JEE Main
IMPORTANT
The minimum and maximum distances of a planet revolving around the Sun are x1 and x2. If the minimum speed of the planet on its trajectory is v0, then its maximum speed will be: