$A$ function is represented by the equation $y = A \cos \omega t \cos 2\omega t + A \sin \omega t \sin 2\omega t$. Then the nature of the function is:

Write the difference between oscillation and vibrations.

What is the difference between periodic motion and simple harmonic motion?

$A$ point particle of mass $0.1\, kg$ is executing $S.H.M.$ with an amplitude of $0.1\, m$. When the particle passes through the mean position,its kinetic energy is $8 \times 10^{-3} \, J$. Obtain the equation of motion of this particle if the initial phase of oscillation is $45^o$.

Define the amplitude of $SHM$ and draw two different $SHM$s in one figure having two different amplitudes.

Define displacement variable and periodic function.