A simple pendulum of length (1 mathrm{~m}) with a bob of mass (1 mathrm{~kg}) is placed on
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A simple pendulum of length \(1 \mathrm{~m}\) with a bob of mass \(1 \mathrm{~kg}\) is placed on Mars and was given an initial angular displacement of \(5^{\circ}\). If the acceleration due to gravity on Mars, \(\mathrm{g}_{\text {Mars }}\), is \(0.376 \mathrm{~g}_{\text {Earth }}\), determine the following:
a. Natural frequency of the pendulum.
b. Maximum angular velocity of the pendulum.
c. Maximum angular acceleration of the pendulum.
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