List of top Physics Questions on simple harmonic motion

The piston in the cylinder head of a locomotive has a stroke of $6 \,m$. If the piston executing simple harmonic motion with an angular frequency of $200 \,rad\, min^{-1}$ , its maximum speed is
The motion of a torsional pendulum is
The metallic bob o fa simple pendulum has the relative density $\rho$. The time period of this pendulum is T. If the metallic bob is immersed in water, then the new time period is given by.
The mass and diameter of a planet are twice those of earth. The period of oscillation of pendulum on this planet will be (if it is a secor,d's pendulum on earth)
The magnitude of acceleration of particle executing SHM at the position of maximum displacement is
The length of the simple pendulum which ticks seconds is
The length of a seconds pendulum is
The kinetic energy of a particle executing SHM is maximum, when its displacement is equal to
The displacement of a particle varies with time according to the relation $y = a \,sin\,\omega t + b\, cos \,\omega t$.
The displacement of a particle from its mean position (in metre) is given by $y=0.2 \, sin (10\pi t+1.5 \pi) cos (10\pi t+1.5 \pi) $ The motion of the particle is
The amplitude of a damped oscillator becomes one half after $t$ second. If the amplitude becomes $(1/n)$ after $3 \,t$ second, then $n$ is equal to
$T_1,T_2$ are time periods of oscillation of a block individually suspended to spring of force constants $K_1,K_2$ respectively same block is suspended to parallel combination of same two springs. Its time period is
Time period of a simple pendulum of length $l$ is $T_{1}$, and time period of a uniform rod of the same length $l$ pivoted about one end and oscillating in a vertical plane is $T_{2}$. Amplitude of oscillation in both the cases is small. Then $T_{1}/T_{2}$ is
A particle executes simple harmonic oscillation with an amplitude $a$. The period of oscillation is $T$. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is