Simple Harmonic Motion — Prelims Questions

A particle executes SHM with an amplitude of $4,\text{cm}$ and a time period of $2,\text{s}$. What is the maximum velocity of the particle?

A mass $m$ is attached to a spring of spring constant $k$. If the mass is increased to $4m$, how does the time period of oscillation change?

A particle executing SHM has its velocity $v$ at a displacement $x$ given by $v = omegasqrt{A^2 - x^2}$. At what position is its kinetic energy equal to its potential energy?

A simple pendulum of length $L$ has a time period $T$. If the pendulum is taken to a planet where the acceleration due to gravity is $g/4$, what will be its new time period?

Which of the following statements is TRUE for a particle executing SHM?

A particle performs SHM along a straight line with a period $T$ and amplitude $A$. The average speed of the particle over one complete oscillation is: