A coin is placed on a horizontal platform, which undergoes horizontal SHM about a mean position O. the coin placed on platform does not slip, coefficient of friction between the coin and the platform is $\mu$. The amplitude of oscillation is gradually increased. The coin will begin to slip on the platform for the first time

The displacement of a particle executing SHM is given by $y = 0.25{\rm{ }}sin{\rm{ }}200t{\rm{ }}\,\,\,cm$ the maximum speed of the particle is

A particle is subjected simultaneously to two SHM’s one along the $x$-axis and the other along the $y$ -axis. The two vibrations are in phase and have unequal amplitudes. The particle will execute

Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion

The minimum phase difference between two simple harmonic oscillations, ${y_1} = \frac{1}{2}\sin \,\,\omega t + \frac{{\sqrt 3 }}{2}\cos \,\,\omega t$ ${y_2} = \sin \,\,\omega t + \cos \,\,\omega t,$ is

A body executing simple harmonic motion has a maximum acceleration equal to $24\,\,m{s^{ - 2}}$ and maximum velocity of $16\,\,m{s^{ - 1}}$ ,the amplitude of the simple harmonic motion is

The ratio of the magnitudes of maximum velocity to the maximum acceleration of a particle making $SHM$ is $1:1$. The minimum time taken by the particle to move between the extreme points of its path is

A particle executes SHM in a line 4 cm long. Its velocity when passing through the centre of line is $12cm/s$ . The period will be

A particle is executing S.H.M. Then the graph of acceleration as a function of displacement is

A body is vibrating in simple harmonic motion. If its acceleration is 12 ${\rm{cm}}{{\rm{s}}^{ - 2}}$ at a displacement 3 cm, then time period is

Which of the following is the correct unit of acceleration?