Question

plz explain this statement:
simple harmonic motion is the projection of uniform circular motion onto a diameter?

Answer 1

suppose a particle is moving on a circular path of radius A with constant angular speed w.
assigning theta =0 at x=0.
then theta at time t = w*t
now projection of position vector of particle on X-axix at time t= A cos(theta) = A cos (w*t)

Answer 2

@celos why t=w*t?

Answer 3

sorry, i mean at time t, theta = w*t

Answer 4

yes but why we take theta = w*t?

Answer 5

angular displacement= angular velocity*time
let at time T=0 position of particle is at (A,0)
so, at time T=t
theta=w*t

Answer 6

@celos thanx