Mass, time period, and amplitude of a particle executing SHM are respectively 0.5g, 2s, and 5 cm find
highest velocity

The time period and amplitude of a particle executing SHM are 10 s and 0.12 m respectively. Find its velocity at a distance 0.04 m from its position of equilibrium.

Time period and amplitude of a particle executing SHM are 2 s and 5 cm respectively. Determine its velocity and acceleration at a distacne of 3 cm from the equilibrium position.

The ratio of the masses, time periods and amplitudes of vibration of two particles executing simple harmonic motion are 2 : 1, 2 : 3 and 1 : 2 respectively. Determine the ratio of their mechanical energies.

If the displacement and the acceleration of a particle executing SHM at any instant are x and a respectively, then the time period of that motion will be

An object of mass 10 kg executes SHM. Its time period and amplitude are 2s and 10 m respectively. Find its kinetic energy when it is at a distance of (i) 2 m and (ii) 5 m respectively from its position of equilibrium. Justify the two different results for (i) and (ii).