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Plot the corresponding SHM of particle. ...

Plot the corresponding SHM of particle. Indicate the intial `(t=0)` position of the particle, the radius of the circle and angular speed of the rotating particle. Consider sense of rotation to be anticlockwise and x in cm and t is in s.
(a) `=-2sin(3t+(pi)/(3))`

Text Solution

Verified by Experts

`x=-2sin (3t+(pi)/(3))]=2cos [(pi)/(2)+(3t+(pi)/(3))]`
`x=2cos(3t+(5pi)/(6))`
Comparing this with `x=A cos (omegat+phi),` we get
`A=2cm, omega="3 rad s"^(-1), phi=(5pi)/(6)" rad."`
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