In this lesson, we will learn how to analyze the simple harmonic motion of an object.

Q1:

A mass on a spring oscillates with a period of 0.8 s and an amplitude of 12 cm. At 𝑡=0s, it is 6 cm to the left of equilibrium and moving to the left. What is the position of the mass at time 𝑡=2s?

Q2:

A particle is moving along a straight line with simple harmonic motion. Its maximum acceleration is 10 ms^{−2} and its maximum speed is 3 ms^{−1}. Calculate the amplitude of the motion.

Q3:

A particle 𝑃 of mass 0.4 kg is moving along a straight line with simple harmonic motion. The distance between 𝑃 and a fixed point 𝑂 on the line is 𝑥 meters at 𝑡 seconds. The force acting on 𝑃 has a magnitude of 10𝑥 and acts in the direction opposite to the motion. Find the period of the motion.

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