Velocity and Acceleration in Simple Harmonic Motion

The relation between the acceleration $\text{'}a\text{'}$ and displacement $\text{'}y\text{'}$ of a particle executing SHM is a $a=-\frac{p}{q}y$, where $p$ and $q$ are constants. What will be the time period $T$ of the particle?

Graph between velocity and displacement of a particle, executing S.H.M. is

Graph between velocity and displacement of a particle, executing S.H.M. is

Particle performing $\mathrm{S}.\mathrm{H}.\mathrm{M}.$ starts from extreme position. Plot a graph of displacement, velocity and acceleration against time.

Particle performing $\mathrm{S}.\mathrm{H}.\mathrm{M}.$ starts from mean position. Plot a graph of displacement, velocity and acceleration against time.

A body describes $\mathrm{S}.\mathrm{H}.\mathrm{M}.$ in a path $0.12\mathrm{m}$ long. Its velocity at the centre of the line is $0.12\mathrm{m}/\mathrm{s}.$ Find the period, and magnitude of velocity at a distance $\sqrt{3}\times {10}^{-2}\mathrm{m}$ from the central position.

A particle executes $\mathrm{S}.\mathrm{H}.\mathrm{M}.$ with amplitude of $10\mathrm{cm}$ and period of $10\mathrm{s}.$ Find the $\left(\mathrm{i}\right)$ velocity, $\left(\mathrm{ii}\right)$ acceleration of the particle at a distance $5\mathrm{cm}$ from the equilibrium position.

A particle is executing $\mathrm{S}.\mathrm{H}.\mathrm{M}.$ of amplitude $5\mathrm{cm}$ and period of  $2\mathrm{s}.$ Find the speed of the particle at a point where its acceleration is half of its maximum value.

In skill learning, what is the term for the initial phase where the learner is trying to understand the task?

In which stage of a river are oxbow lakes most commonly formed?

The piston in the cylinder head of a locomotive has a stroke of $6\mathrm{ }\mathrm{m}$. If the piston is executing simple harmonic motion with an angular frequency of $200\mathrm{ }\mathrm{r}\mathrm{a}\mathrm{d}\mathrm{ }\mathrm{m}{\mathrm{i}\mathrm{n}}^{-1},$ then maximum speed of the piston is

The average acceleration of a particle performing SHM over one complete oscillation is

The average acceleration of a particle performing $\mathrm{SHM}$(simple harmonic motion) over one complete oscillation is

In SHM match the following.
 

Displacement-time graph of a particle executing SHM is as shown. The corresponding force time graph of the particle can be

A body is vibrating in simple harmonic motion with an amplitude of $0.06 \mathrm{m}$ and frequency of $15 \mathrm{Hz}$. The maximum velocity and acceleration of the body is

A body describes simple harmonic motion with an amplitude of $5 \mathrm{cm}$ and a period of $0.2 \mathrm{s}.$ Find the acceleration and velocity of the body when the displacement is $5 \mathrm{cm}$

A particle executing simple harmonic motion has amplitude of 1 metre and time period 2 second. At t = 0 net force on the particle is zero, find maximum velocity and maximum acceleration

The $x-t$ graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at $t=\frac{4}{3}\mathrm{s}$ is

A point mass oscillates along the  $\text{x}$-axis according to the law $x=x_0 cos\left(\omega t-\pi /4\right)$. If the acceleration of the particle is written as $a=Acos\left(\omega t+\delta \right)$, then