Exercises

A particle executing SHM has an amplitude of $4 \mathrm{cm}$ and its acceleration at a distance of $1 \mathrm{cm}$ from the mean position is $3 \mathrm{cm} {\mathrm{s}}^{-2}$ . What is its velocity when it is at a distance of $2 \mathrm{cm}$ from its mean position? 

A simple harmonic oscillator has a time period of $2 \mathrm{s}$. What will be the change in the phase $0.25 \mathrm{s}$ after leaving the mean position.

A body describes simple harmonic motion with an amplitude of $5 \mathrm{cm}$ and a period of $0.2 \mathrm{s}$. Find the acceleration and velocity of the body when the displacement is $5 \mathrm{cm}$

A body describes simple harmonic motion with an amplitude of $5 \mathrm{cm}$ and a period of $0.2 \mathrm{s}$. Find the acceleration and velocity of the body when the displacement is $3 \mathrm{cm}$

A body describes simple harmonic motion with an amplitude of $5 \mathrm{cm}$ and a period of $0.2 \mathrm{s}$. Find the acceleration and velocity of the body when the displacement is $0 \mathrm{cm}$

The mass and radius of a planet are double that of the Earth. If the time period of a simple pendulum on the Earth is $T$, find the time period on that planet.

Calculate the change in the length of a simple pendulum of length $1 \mathrm{m}$ , when its period of oscillation changes from $2 \mathrm{s}$ to $1.5 \mathrm{s}$

The time period of a body suspended from a spring is $T$. What will be the new time period if the spring is cut into two equal parts and the mass is suspended (i) from one part, (ii) simultaneously from both the parts?