1. | \(-\dfrac{\pi^2}{16} ~\text{ms}^{-2}\) | 2. | \(\dfrac{\pi^2}{8}~ \text{ms}^{-2}\) |
3. | \(-\dfrac{\pi^2}{8} ~\text{ms}^{-2}\) | 4. | \(\dfrac{\pi^2}{16} ~\text{ms}^{-2}\) |
The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:
1. | \(\dfrac{3\pi}{2}\text{rad}\) | 2. | \(\dfrac{\pi}{2}\text{rad}\) |
3. | zero | 4. | \(\pi ~\text{rad}\) |
1. | \(A + B\) | 2. | \(A_{0}\) \(+\) \(\sqrt{A^{2} + B^{2}}\) |
3. | \(\sqrt{A^{2} + B^{2}}\) | 4. | \(\sqrt{A_{0}^{2}+\left( A + B \right)^{2}}\) |
The average velocity of a particle executing SHM in one complete vibration is:
1. zero
2. \(\dfrac{A \omega}{2}\)
3. \(A \omega\)
4. \(\dfrac{A \left(\omega\right)^{2}}{2}\)
The distance covered by a particle undergoing SHM in one time period is: (amplitude = A)
1. | zero | 2. | A |
3. | 2 A | 4. | 4 A |