Accelerate JEE 2020: SHM Class 4 (26.07.2019)

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Question 1

A particle of mass 4 kg moves between two points A and B on a smooth horizontal surface under the action of two forces such that when it is at a point P, the forces are N and N. If the particle is released from rest at A, find the time it takes to travel a quarter of the way from A to B.

• A
• B
• Cπs
• D

Question 2

A man is swinging on a swing made of 2 ropes of equal length L and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is

• A
• B
• C
• D

Question 3

A ring of diameter 2m oscillates as a compound pendulum about a horizontal axis passing through a point at its rim. It oscillates such that its centre move in a plane which is perpendicular to the plane of the ring. The equivalent length of the simple pendulum is

• A2m
• B4m
• C1.5 m
• D3m

Question 4

Two pendulums have time periods T and 5T/ 4. They start SHM at the same time from the mean position. After how many oscillations of the smaller pendulum they will be again in the same phase

• A5
• B4
• C11
• D9

Question 5

A small bob attached to a light inextensible thread of length l has a periodic time T when allowed to vibrate as a simple pendulum. The thread is now suspended from a fixed end O of a vertical rigid rod of length (as in figure). If now the pendulum performs periodic oscillations in this arrangement, the periodic time will be

• A
• B
• CT
• D2T

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