The mass M shown in the figure below oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is

A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constants $$k$$. The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle $$\theta$$ in one direction and released. The frequency of oscillation is

The $$x$$-$$t$$ graph of a particle undergoing simple harmonic motion is shown in the figure. The acceleration of the particle at $$t=4/3$$ s is

Column I gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column II. Match the set of parameters given in Column I with the graphs given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $$\times$$ 4 matrix given in the ORS.

Column I | Column II | ||
---|---|---|---|

(A) | Potential energy of a simple pendulum (y-axis) as a function of displacement (x) axis | (P) | |

(B) | Displacement (y-axis) as a function of time (x-axis) for a one dimensional motion at zero or constant acceleration when the body is moving along the positive x-direction | (Q) | |

(C) | Range of a projectile (y-axis) as a function of its velocity (x-axis) when projected at a fixed angle | (R) | |

(D) | The square of the time period (y-axis) of a simple pendulum as a function of its length (x-axis) | (S) |