In this lesson, we will learn how to model the motion of an object having an acceleration toward a point proportional to its displacement from that point.

Q1:

An object undergoing simple harmonic motion has a frequency of 5.5 Hz and an amplitude of 4.5 mm. What is the speed of the object when it is at its equilibrium position?

Q2:

An object in simple harmonic motion has a frequency of 2.5 Hz. The maximum displacement of the object from its equilibrium position has a magnitude of 1.5 cm. What is the magnitude of the acceleration of the object when it is at its greatest displacement?

Q3:

The bob of a simple pendulum moves from a point that intersects the line A, which is one of the bob’s positions of maximum displacement, to a point that intersects the line B, which is the bob’s other position of maximum displacement. The bob moves between these points in 0.25 s. What is the frequency of the bob’s simple harmonic motion?

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