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The motion of a pendulum in circular motion is simple harmonic motion.

A pendulum is a weight suspended from a fixed point that swings back and forth under the influence of gravity. When a pendulum is set in motion, it swings back and forth in a regular pattern. This motion is called simple harmonic motion (SHM).

In circular motion, the pendulum moves in a circular path. The weight of the pendulum provides the centripetal force that keeps it moving in a circle. The force of gravity acts as the restoring force that causes the pendulum to swing back and forth.

The period of a pendulum in circular motion can be calculated using the formula:

T = 2π√(L/g)

Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. This formula shows that the period of a pendulum in circular motion is dependent on the length of the pendulum and the acceleration due to gravity.

The frequency of a pendulum in circular motion can be calculated using the formula:

f = 1/T

Where f is the frequency. This formula shows that the frequency of a pendulum in circular motion is inversely proportional to its period.

In conclusion, the motion of a pendulum in circular motion is simple harmonic motion, and its period and frequency can be calculated using the formulas T = 2π√(L/g) and f = 1/T, respectively.

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