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Shown in the figure are four different pendulums: (a) a rod has a mass M and a length L; (...

Shown in the figure are four different pendulums: (a) a rod has a mass M and a length L; (b) a rod has a mass 2M and a length L; (c) a mass M is attached to a massless string of a length L; and (d) a mass M is attached to a massless string of length  Find the period of each pendulum when it is pulled 20° to the right and then released.

   

Step-by-Step Solution

Solution 1
Step #1 of 6

THINK:

We think the time period expressions of simple pendulum and physical pendulum .

Step #2 of 6

RESEARCH:

The period of physical pendulum depend on the moment of inertia pendulum but not angle.

Here the moment of pendulum about one end is

The period simple pendulum depends on the length and acceleration due to gravity.

Step #3 of 6

SIMPLIFY:

(a) A physical pendulum has mass and length gives the period pendulum can be expressed as

Step #4 of 6

(b) A physical pendulum which has mass and length have a period of time

Step #5 of 6

(c) A simple pendulum which has length and mass has a period of time

Step #6 of 6

(d) A simple pendulum has length and mass has a period time

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