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If the equation of motion of particle is given by s=A cos(wt+sigma), the particle is said to undergo simple harmonic motion.

a) find the velocity of the particle at time t.

s'(t)=

 

b)when is the velocity 0? (use n as the arbitrary integer.)

t=

 Sep 26, 2016
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The velocity is given by v = -w*A*sin(wt+sigma)

 

The velocity is zero when wt + sigma = n*pi     or:   t = (n*pi - sigma)/w

.

 Sep 26, 2016

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