A block \(P\) of mass \(m\) is placed on a frictionless horizontal surface. Another block \(Q\) of same mass is kept on \(P\) and connected to the wall with the help of a spring of spring constant \(k\) as shown in the figure. \(\mu_s\) is the coefficient of friction between \(P\) and \(Q\). The blocks move together performing SHM of amplitude \(A\). The maximum value of the friction force between \(P\) and \(Q\) will be:
1. \(kA\)
2. \(\frac{kA}{2}\)
3. zero
4. \(\mu_s mg\)
1. | simple harmonic motion of frequency \(\frac{\omega}{\pi}\). |
2. | simple harmonic motion of frequency \(\frac{3\omega}{2\pi}\). |
3. | non-simple harmonic motion. |
4. | simple harmonic motion of frequency \(\frac{\omega}{2\pi}\). |
Two simple harmonic motions of angular frequency \(100~\text{rad s}^{-1}\) and \(1000~\text{rad s}^{-1}\) have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. \(1:10\)
2. \(1:10^{2}\)
3. \(1:10^{3}\)
4. \(1:10^{4}\)
A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector is correctly shown in:
1. | 2. | ||
3. | 4. |
1. | \(\sqrt{T} \) | 2. | \(T \) |
3. | \({T}^{1 / 3} \) | 4. | \(\sqrt{2} {T}\) |