Q16 of 31 Page 358

Answer the following questions:

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?

In case of a simple pendulum the restoring force which is causing simple harmonic motion of bob of pendulum is


F = -mgSin

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14

The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad/min, what is its maximum speed?

 15

The acceleration due to gravity on the surface of moon is 1.7 m s–2. What is the time period of a simple pendulum on the surface of moon if its time period on the surface of earth is 3.5 s? (g on the surface of earth is 9.8 m s–2)

 16

Answer the following questions:

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.

 16

Answer the following questions:

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?