Intro to Springs (Hooke's Law) Video Lessons

Concept

# Problem: A restoring force of magnitude F acts on a system with a displacement of magnitude x. In which the following cases will the system undergo simple harmonic motion?A) F ∝ xB) F ∝ sin xC) F ∝ 1/xD) F ∝ x2E) F ∝ √x

###### FREE Expert Solution

The restoring force is expressed as:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{k}}{\mathbf{x}}}$.

Here, x is the displacement and k is the spring constant.

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###### Problem Details

A restoring force of magnitude F acts on a system with a displacement of magnitude x. In which the following cases will the system undergo simple harmonic motion?

A) F ∝ x

B) F ∝ sin x

C) F ∝ 1/x

D) F ∝ x2

E) F ∝ √x