The period of oscillation of a mass \(M\) suspended from a spring of negligible mass is \(T.\) If along with it another mass \(M\) is also suspended, the period of oscillation will now be:
1. \(T\)
2. \(T/\sqrt{2}\)
3. \(2T\)
4. \(\sqrt{2} T\)
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 point performs simple harmonic oscillation of period T and the equation of motion is given by x= a sin .After the elapse of what fraction of the time period the velocity of the point will be equal to half to its maximum velocity?
1.
2.
3.
4
The angular velocities of three bodies in simple harmonic motion are with their respective amplitudes as . If all the three bodies have same mass and maximum velocity, then
1.
2.
3.
4.
The maximum velocity of a simple harmonic motion represented by is given by
1. 300
2.
3. 100
4.
The displacement equation of a particle is The amplitude and maximum velocity will be respectively
1. 5, 10
2. 3, 2
3. 4, 2
4. 3, 4