Rotational Work and Energy
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Q. A metal stick of mass 1 kg and length 1 metre is held vertically with one end on the floor and is then allowed to fall. All values are in SI units. Take approximations.
Column-IColumn-II(a) Initial mechanical energy(p)5.425(b)(Angular velocity) 2 just before hitting the ground(q) 29.429(c) Linear velocity of the free end just before hitting the ground(r) 4.9(d) Moment of inertia(s) 0.333
Column-IColumn-II(a) Initial mechanical energy(p)5.425(b)(Angular velocity) 2 just before hitting the ground(q) 29.429(c) Linear velocity of the free end just before hitting the ground(r) 4.9(d) Moment of inertia(s) 0.333
- a−p;b−q;c−r;d−p
- a−r;b−q;c−p;d−s
- a−q;b−r;c−p;d−s
- a−r;b−q;c−s;d−p
Q. A flywheel of moment of inertia 0.32kg−m2 is rotated steadily at 120 rad/sec by an electric motor. The kinetic energy of the flywheel is
- 4608 J
- 2304 J
- 6912 J
- 1152 J
Q. Two bodies rotating with the same angular momentum have M.I. I1 and I2 respectively such as I1>I2 respectively, then
- E2>E1
- E2=E1
- E1>E2
- E1=2E2
Q. If the angular momentum of a rotating body is increased by 200%, then its kinetic energy of rotation will be increased by
Q. A solid sphere of mass M and radius R is rolling on a horizontal surface without sliding with a velocity v. The ratio of its rotational and linear kinetic energies is
- 2 : 5
- 5 : 2
- 7 : 10
- 2 : 7
Q. A uniform circular disc of radius 'R' with a concentric circular hole of radius R2 rolls on a horizontal plane. The fraction of its total energy associated with its rotational motion is
Q. A ring of radius 0.5 m and mass 10 kg is rotating about its diameter with an angular velocity of 20 rad/s. Its kinetic energy is
- 250 J
- 500 J
- 10 J
- 100 J
Q. If each point mass of a rigid ring covers a distance of π2m, by how much angle (in radians) the ring has been rotated? (R = 2m)
- π2radians
- π4radians
- π radians
- 3π4radians
Q. A body of moment of inertia of 3 kg−m2 is rotating with an angular velocity of 2 rad/sec and has the same kinetic energy as a mass of 12 kg moving with a velocity of
- 8 m/s
- 0.5 m/s
- 2 m/s
- 1 m/s
Q.
In the shown figure, a particle of mass m slides down the frictionless surface from height h and collides with the uniform vertical rod of length L and mass M. After the collision, mass m sticks to the rod. The rod is free to rotate in a vertical plane about a fixed axis through O. Find the cosine of the maximum angular deflection of the rod from its initial position.