During simple harmonic motion of a body, the energy at the extreme position is:
1. | both kinetic and potential |
2. | is always zero |
3. | purely kinetic |
4. | purely potential |
If a body is executing simple harmonic motion with frequency 'n', then the frequency of its potential energy is:
1. | 3n | 2. | 4n |
3. | n | 4. | 2n |
A particle of mass \(m\) is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?
1. | 2. | ||
3. | 4. |
A particle executing simple harmonic motion has a kinetic energy of \(K_0 cos^2(\omega t)\). The values of the maximum potential energy and the total energy are, respectively:
1. \(0\) and \(2K_0\)
2. \(\frac{K_0}{2}\) and \(K_0\)
3. \(K_0\) and \(2K_0\)
4. \(K_0\) and \(K_0\)
A particle of mass m oscillates with simple harmonic motion between points x1 and x2, the equilibrium position being O. Its potential energy is plotted. It will be as given below in the graph:
1. | 2. | ||
3. | 4. |
The potential energy of a simple harmonic oscillator, when the particle is halfway to its endpoint, will be:
1. \(\frac{2E}{3}\)
2. \(\frac{E}{8}\)
3. \(\frac{E}{4}\)
4. \(\frac{E}{2}\)
The displacement between the maximum potential energy position and maximum kinetic energy position for a particle executing simple harmonic motion is:
1.
2.
3.
4.
The total energy of the particle performing SHM depends on:
1. \(k,\) \(a,\) \(m\)
2. \(k,\) \(a\)
3. \(k,\) \(a\), \(x \)
4. \(k,\) \(x \)