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A point moves in the plane xy according ...

A point moves in the plane `xy` according to the law `x=a sin omegat`, `y=a(1-cos omega t)`, where a and `omega` are positive constants. Find:
(a) the distance s traversed by the point during the time `tau`,

Text Solution

Verified by Experts

`x=K sin wt , v_(x)=(dx)/(dt)=Komega cos omegat` `v_(y)=(dy)/(dt)=Komega sin omegat, v= sqrt(V_(X)^(2)+V_(y)^(2))=Komega`
Distance =`"speed"xx"time" =(Komega)t`
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