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Solve the all parts of given problem:

Problem: A small mass m = 1.0 kg hangs at the end of a string of length L = 2.0 m that is pivoted at the ceiling. The pendulum is pulled aside by an angle of 15^o and released from rest at time t = 0.

Part A: Find the equation for the angular position of the pendulum as a function of time?

Part B: What is the period of the pendulum?

I need expert help to solve the above problem and hint: Use the approximation that the angle of the pendulum from the vertical is always small, so that the small-angle approximation can be used.

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