How motion of a loaded spring is simple harmonic?

Show that the motion of a loaded spring is simple harmonic. Find an expression for its time period.

Find an expression for the time period of a loaded spring in simple harmonic motion.

Show that motion of a simple pendulum is simple harmonic.

Show that the motion of a simple pendulum is simple harmonic for small amplitudes of oscillation.

Define a simple harmonic motion.

When the motion of a simple pendulum will be simple harmonic?

A wound spring has

What are harmonics?

State how acceleration is related to displacement in simple harmonic motion and mention the characteristics of this type of motion.

The potential energy function for a particle executing linear simple harmonic motion is given by V(x) =kx^2/2, where k is the force constant of the oscillator. For k = 0.5 N ^-1 , the graph of V(x) versus x is shown in Fig. 6.12. Show that a particle of total energy 1 J moving under this potential must ‘turn back’ when it reaches x = ± 2 m.,br>