1.

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

Answer»

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?



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