In this lesson, we will learn how to model the simple pendulum motion using simple harmonic motion and the factors affecting the period of the simple pendulum.

Q1:

The figure shows a simple pendulum consisting of a ball attached to the end of a light inextensible string of length 165 cm. The pendulum started moving from rest from point π΄ oscillating through an angle of 2π, where tanπ=43. Find the speed of the ball at the point π΅, given that it is the midpoint of the ballβs path. Take the acceleration due to gravity π=9.8/msο¨.

Q2:

A light inextensible string of length 32 cm is used to hang a pendulum. If the pendulum starts moving from rest from point π΅, how many times will the pendulum pass by the equilibrium position after 2 seconds? Take the acceleration due to gravity to be 9.8 m/s^{2}.

Q3:

A pendulum of length πο§ has a period of πο§. If the pendulumβs length is decreased by 19%, the period becomes πο¨. Find the ratio of ππο¨ο§ to three decimal places.

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