A simple pendulum 4 m long swings with an amplitude of 0.2m. Compute the velocity of the pendulum at its lower point and its acceleration at extreme end.

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14. A simple pendulum 4 m long swings with an amplitude of 0.2m. Compute the velocity of the pendulum at its lower point and its acceleration at extreme end.

Given:

• Length of pendulum, $L = 4 \text{ m}$

• Amplitude, $A = 0.2 \text{ m}$

• Acceleration due to gravity, $g = 9.8 \text{ m/s}^2$

• i) Velocity at the lower point ($v_{max}$):

  Step 1: Calculate the angular frequency $\omega$.

  $$\omega = \sqrt{\frac{g}{L}}$$ $$$$