MEDIUM
11th Odisha Board
IMPORTANT
Earn 100

 The angular momentum of earth due to rotation about its own axis is x×1033. Find the value of x. Given mass of earth =5.98×1027 g, radius of earth =9.37×106m

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Important Questions on Rotation

HARD
11th Odisha Board
IMPORTANT
A horizontal disc rotating about a vertical axis passing through its centre makes 100 revolutions per minute. A small piece of wax mass 10g falls vertically on the disc and adheres to it a distance of 9cm from the axis. If the number of revolutions per minute is there by reduced to 90, calculate the M.O.I. of the disc. 
MEDIUM
11th Odisha Board
IMPORTANT
A circular ring and its eight spokes are made out of the same wire. The total mass is 2 kg and the radius is 16 cm. Find the moment of inertia and radius of gyration about an axis through its centre and perpendicular to its plane.
EASY
11th Odisha Board
IMPORTANT
Prove that for an earth satellite, the ratio of its velocity at apogee (when farthest from earth) to its velocity at perigee (when nearest to earth) is equal to the inverse ratio of its distance from apogee and perigee. 
MEDIUM
11th Odisha Board
IMPORTANT
Show that the axis about which the moment of inertia of a body is the minimum must pass through C.O.G.
MEDIUM
11th Odisha Board
IMPORTANT
If the angular momentum of a body increases by 20% what is the percentage change in K.E. of rotation.
HARD
11th Odisha Board
IMPORTANT
A thin uniform rod mass 'm' and length 'L' pivoted freely at its base, is allowed to fall from a vertical position. Calculate its angular velocity and acceleration, when it has turned through 60% .
HARD
11th Odisha Board
IMPORTANT
A bicycle wheel of radius 0.3 m has a rim of mass 1.0 kg and 50 spokes, each of mass 0.01 kg. what is its M.O.I. about its axis of rotation ? 
MEDIUM
11th Odisha Board
IMPORTANT
A solid cylinder of mass 15 kg, 0.3m diameter is pivoted about a horizontal axis through its centre, and a rope wrapped around the surface of the cylinder carries at its end a block of mass 8kg. (a) How far does the block descend in 5s, starting from rest ? (b) what is the tension in the rope ? (c) what is the force exerted by the bearing on the cylinder ?