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Rotational Motion

Types of Motions Involving Rotation

Quick practice

Question 1 of 5

A uniform, thin metal rod of mass m, length l, is held vertical (\theta=0), with its bottom point resting on a rough horizontal surface. At t = 0, it is slightly disturbed so that it starts to fall down. After some time the angle \theta=60^{\circ}, at this moment the kinetic energy of the rod is K E=A m g l, its angular velocity is \omega=B \sqrt{\frac{g}{l}}, its angular acceleration is \alpha=c \frac{g}{l} and its angular momentum (about origin) is L=D m l \sqrt{g l}, where A, B, C and D are dimensionless constants. If z axis is vertically up, x axis is horizontal, and rod doesn’t slip on the rough surface, then match the constant of the rod in column I with its value in column II.



A

(A) -> (Q); (B) -> (S); (C) -> (P); (D) -> (R)

B

(A) -> (Q); (B) -> (P); (C) -> (R); (D) -> (S)

C

(A) -> (P); (B) -> (Q); (C) -> (S); (D) -> (R)

D

(A) -> (Q); (B) -> (P); (C) -> (S); (D) -> (R)

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