Answer the following questions:
(a) Time period of a particle in SHM depends on the force constant k and mass m of the particle:
.
A simple pendulum executes SHM approximately. Why then is the time
period of a pendulum independent of the mass of the pendulum?
(b) The motion of a simple pendulum is approximately simple
harmonic for small angle oscillations. For larger angles of
oscillation, a more involved analysis shows that T is greater
than.
Think of a qualitative argument to appreciate this result.
(c) A man with a wristwatch on his hand falls from the top of a tower. Does the watch give correct time during the free fall?
(d) What is the frequency of oscillation of a simple pendulum mounted in a cabinthat is freely falling under gravity?