When two displacements represented by y₁ = a sin$${\left( {\omega t} \right)}$$ and y₂ = b cos$${\left( {\omega t} \right)}$$ aresuperimposed the motion is

A particle is executing SHM along a straight line. Its velocities at distances x₁ and x₂ from the mean position are V₁ and V₂ respectively. Its time period is

The oscillation of a body on a smooth horizontal surface is represented by the equation,
X = A cos$$\left( {\omega t} \right)$$
where X = displacement at time t
$$\omega $$ = frequency of oscillation
Which one of the following graphs shows correctly the variation a with t?
Here a = acceleration at time t
T = time period

A particle of mass m oscillates along x-axis according to equation x = asin$$\omega $$t. The nature of the graph between momentum and displacement of the particle is