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Simple Harmonic Motion And Uniform Circular Motion - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Simple harmonic as projection of circular motion is considered one of the most asked concept.
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12 Questions around this concept.
Solve by difficulty
EASYA particle is moving with constant angular velocity along the circumference of a circle. Which of the following statements is true
When a particle moves with uniform circular motion.
Concepts Covered - 1
Simple harmonic as projection of circular motion
Simple harmonic can be represented as a projection of circular motion.
If P moves uniformly on a circle as shown in the below figure, then its projection P′ on a diameter of the circle executes SHM.
As the particle P moves on the circle, The position of P′ on the x-axis is given by
x(t) = A cos (ωt + φ)
This is the equation of SHM on the x-axis with amplitude A and angular frequency as
Where A is the radius of the circle
and is the angle that the radius OP makes with the x-axis at t=0
Similarly, The position of P′ on the y-axis is given by
y(t)= A sin (ωt + φ)
This also an SHM of the same amplitude as that of the projection on the x-axis, but differing by a phase of π/2.
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