Embibe Experts Solutions for Chapter: Oscillations, Exercise 1: Maharashtra Board-2019

A particle performing linear S. H. M. has maximum velocity of $25 cm/s$ and maximum acceleration of $100 cm/s^2$. Find the amplitude and period of oscillation.$(\mathrm{\pi }= 3.142)$

State the differential equation of linear simple harmonic motion.

The length of the second’s pendulum in a clock is increased to $4$ times its initial length. Calculate the number of oscillations completed by the new pendulum in one minute.

A body of mass $1 \mathrm{kg}$ is made to oscillate on a spring of force constant $15 \mathrm{N}/\mathrm{m}$. Calculate the angular frequency 

A body of mass $1 \mathrm{kg}$ is made to oscillate on a spring of force constant $15 \mathrm{N}/\mathrm{m}$. Calculate the frequency of vibrations. 

Define linear S.H.M.Obtain differential equation of linear S.H.M.

A simple pendulum of length $1\mathrm{m}$has mass $10\mathrm{g}$ and oscillates freely with amplitude of $5 \mathrm{cm}$. Calculate its potential energy at extreme position.

At which position, the total energy of a particle executing linear S.H.M. is purely potential?