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A disc of radius R rolls on a horizontal...

A disc of radius R rolls on a horizontal ground with linear acceleration a and angular acceleration α as shown in figure. The magnitude of acceleration of point P at an instant when its linear velocity is v and angular velocity is ω will be:

Text Solution

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`a_(P) = ((3a)/(2) - (v^(2)sqrt(3))/(2R)) hat(i) - ((a sqrt(3))/(2) + (v^(2))/(2R))hat(j)`
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