First slide

Periodic Motion

Question

A particle moves along a circle of radius 5 cm with a period of 6 sec in the clockwise direction. At t = 0 the particle is at position A as shown in the Fig.The expression for the SHM of the x-projection of the radius vector of the particle is

Moderate

A

$x = 5 \cos (\frac{π}{3} t + \frac{π}{8})$
B

$x = - 5 \sin (\frac{π}{3} t + \frac{π}{8})$
C

$x = 5 \sin (\frac{π}{3} t + \frac{π}{8})$
D

$x = - 5 \cos (\frac{π}{3} t - \frac{π}{8})$

Solution

$x = 5 \sin (ωt + π + \frac{π}{8}) = - 5 \sin (\frac{π}{3} t + \frac{π}{8})$

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