# Circular Motion Analysis

GlowingRutherfordium
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## 10 Questions

simple harmonic

Rcos(θ)

amplitude

x-OC

line

### What is the name given to the motion which is the projection of uniform circular motion onto a diameter?

Simple harmonic motion

x = Rcosθ

Amplitude

x = Rcosθ

### What type of motion is the projection of uniform circular motion onto a diameter?

Simple harmonic motion

## Study Notes

• The text discusses analyzing the periodic motion of a marker on a circular object rotating about a vertical axis at a uniform rate.
• The observed motion of the marker in a horizontal plane is called simple harmonic motion and is the projection of uniform circular motion onto a diameter.
• The displacement of the marker relative to the center of rotation is represented by x-OC and can be expressed as x = Rcosθ, where R is the distance of the marker from the axis of rotation.
• The maximum displacement of the motion is called the amplitude of the motion, which is represented by symbols A and B in the text and is equal to R.
• The text mentions that Newton's Second Law of Conservation of Energy has been used to analyze oscillating systems like the spring-object system and simple pendulum, and now the focus is on analyzing the periodic motion of the circle.

Test your understanding of analyzing the periodic motion of a marker on a rotating circle in a horizontal plane. Explore the application of Newton's Second Law of Conservation of Energy and the principles of circular motion.

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