Two blocks $A$ and $B$ of masses $0.3 kg$ and $0.4 kg$ respectively are stuck to each other by some weak glue as shown is the figure. They hang together at end of a spring with a spring constant $k = 200 N m^{- 1}$ . The block $B$ suddenly falls free due to failure of glue.

Find
(i) Period of SHM of block $A$
(ii) Amplitude of its SHM of block $A$
(iii) Total energy of oscillation

Important Questions on Oscillations

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.3>Q 20

A mass $M$ is suspended from a spring of negligible mass. The spring is pulled a little and then released, so that, the mass executes SHM of the time period $T$ . If the mass is increased by $m$ , the time period becomes $\frac{5 T}{3}$ . Then the ratio of $\frac{m}{M}$ is,

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.4>Q 21

Small bob of a simple pendulum has mass

m

and the length of the pendulum is

l

. It is oscillating on a circular arc of angle

θ

in a vertical plane. At the end of this arc another ball of mass

m

is placed at rest. Momentum transferred to this ball by the bob of the pendulum is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.4>Q 22

Two simple pendulums of length

1 m

and

1.21 m

are their mean position with their velocities in the same direction at some instant. After how many oscillations of bigger pendulum they will again be in same phase?

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.4>Q 23

At some instant the bob of the simple pendulum is at the mean position. The time after which its kinetic and potential energies will be equal is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>EXERCISE 13.4>Q 24

Time period of a simple pendulum is