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##### Find the amplitude frequency and period of an object vibrating at the end of a spring if the equation for its position as a function of time is$x=0.25 \cos \left(\frac{\pi}{8}\right) t$What is the displacement of the object after 2.0 \mathrm{~s} ?

What happens to the period of simple pendulum if its length is doubled? What happens if the suspended mass is doubled?

A block of mass 1.6 \mathrm{~kg} is attached to a spring with spring constant 1000 \mathrm{Nm}^{-1} as shown in Fig. The spring is compressed through a distance of 2.0 \mathrm{~cm} and the block is released from rest.(i) through a distance of 2.0 \mathrm{~cm} and the block is released from rest. Calculate the velocity of the block as it passes thrions equilibrium position \mathrm{x}=0 if the surface is frictionless.

Show that in SHM the acceleration is zero when the velocity is greatest and the velocity is zero when the acceleration is greatest?

Explain the relation between total energy potential energy and kinetic energy for body oscillating with SHM.

Name two characteristics of simple harmonic motion.

A simple pendulum is 50.0 \mathrm{~cm} long. What will be its frequency of vibration at a place where \mathrm{g}=9.8 \mathrm{~ms} ?