Two simple pendulums of equal length cross each other at mean position. What is their phase difference?

A body executes SHM with aperiod of 11/7 s and an amplitude of 0.025 m. What is the maximum value of acceleration?

What is the force equation of a SHM?

Under what condition is the motion of a simple pendulum be simple harmonic?

What is the ratio between the distance travelled by the oscillator iin one time period and amplitude?

In case of an oscillating simple pendulum what will be the direction of acceleration of the bob at
(a) the mean position,
(b) the end points?

Define the restoring force and it characterstic in case of an oscillating body.

Which of the following examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion?
General vibrations of a polyatomic molecule about its equilibrium position.

Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion?
a = -10x

Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion?
a = 100x³

The length of a second pendulum on the surface of earth is 1m. What will be the length of a second pendulum on the moon?

In Exercise, let us take the position of mass when the spring is unstreched as x = 0, and the direction from left to right as the positive direction of x-axis. Give x as a function of time t for the oscillating mass if at the moment we start the stopwatch (t = 0), the mass is
(a) at the mean position,
(b) at the maximum stretched position, and
(c) at the maximum compressed position.
In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial phase?

A body weighing 10 g has a velocity of 6 cms^-1 after one second of its starting from mean position. If the time period is 6 s, then find the kinetic energy, potential energy and the total energy.

A cylindrical wooden block of cross-section 15.0 cm² and mass 230 gm is floated over water with an extra weight 50 gm attached to its bottom. The cylinder floats vertically. From the state of equilibrium, it is slightly depressed and released. If the specific gravity of wood is 0.30 and g = 9.8 m per sec², find the frequency of oscillation of the block.

A mass m is dropped in a tunnel along the diameter of earth from a height h (<< R) above the surface of earth. Find the time period of motion, Is the motion simple harmonic?

A spring of force constant \({ 1200\ Nm }^{ -1 }\)is mounted on a horiontal table as a mass of 3 kg is attached to the free end of the spring, pulled sideways to adistance of 2.0 cm and released. Determine
(i) The frequency of oscillations.
(ii) The maximum acceleration of the mass, and
(iii) the maximum speed of the mass?