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.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Here are the solutions to the questions:
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 $\omega$.
$$ \omega = \sqrt{\frac{g}{L}} $$
$$ \omega = \
