The length of a simple pendulum is 0.85 m and the mass of the particle (the “bob”) at the end of the cable is 0.32 kg. The pendulum is pulled away from its equilibrium position by an angle of 7.5° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion.  Using the position of the bob at its lowest point as the reference level, determine the total mechanical energy of the pendulum as it swings back and forth.

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Chapter5: Energy
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The length of a simple pendulum is 0.85 m and the mass of the particle (the “bob”) at the end of the cable is 0.32 kg. The pendulum is pulled away from its equilibrium position by an angle of 7.5° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion.  Using the position of the bob at its lowest point as the reference level, determine the total mechanical energy of the pendulum as it swings back and forth.

Expert Solution
Given Data

The length of the pendulum, L is 0.85 m.

The mass of the particle, m is 0.32 kg.

The angle made by the pendulum when it is pulled away from its equilibrium position, θ is 7.5°.

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