Question

The displacement at any given time of an object is x = 6 sin 98t , where the symbols have their usual meanings. i). Proof that this object is executing simple harmonic motion.

Answer 1

A simple harmonic motion is defined by the amplitude and angular frequency of the oscillation, which are represented in the given function as 6 units and 98 rad/s respectively.

General wave equation for simple harmonic motion

y = A sinωt

where;

• A is amplitude of the motion
• ω is angular frequency

Amplitude of the oscillation

A = 6 units

Angular frequency of the wave

ω = 98 rad/s

A simple harmonic motion is defined by the amplitude and angular frequency of the oscillation. Thus, the wave is executing simple harmonic motion.

Learn more about simple harmonic motion here: brainly.com/question/17315536

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