The displacement of a particle varies with time according to the relation $y=asin\omega t+bcos\omega t.$

Assertion :Any physical system when disturbed will execute simple harmonic motion.
Reason :For executing SHM, the system must have elasticity and inertia.

What is SHM? Show that in SHM acceleration is directly proportional to its displacement at a give instant.

Which of the following is true of all systems displaying simple harmonic motion?

A particle is executing simple harmonic motion with an amplitude $A$ and time period $T$. The displacement of the particles after $2T$ period from its initial position is

 wave length of wave is 

Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower point is

A particle is an linear simple harmonic motion between two extreme point A and B. 10 cm apart(See figure below) If the direction from A to B is taken as positive direction, what are signs of displacement x, velocity V and acceleration a, when the particle is at A?

The phase difference between the displacement and acceleration of particle executing S.H.M. in radian

The position vector of a particle from origin is given by $\hat{r}=A\left(\hat{i}\cos \omega t+\hat{j}sin\omega t\right)$. The motion of the particle is