A disc of radius R rolls on a horizontal ground with linear acceleration a and angular acceleration α as shown in Fig. The magnitude of acceleration of point P as shown in the figure at an instant when its linear velocity is v and angular velocity is ω will be
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a
(a+rα)2+(rω2)2
b
arR
c
r2α2+r2ω4
d
ra
answer is A.
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Detailed Solution
FBD of point P. In the earth frame, we haveSo, resultant =(a+rα)2+(ω2r)2
A disc of radius R rolls on a horizontal ground with linear acceleration a and angular acceleration α as shown in Fig. The magnitude of acceleration of point P as shown in the figure at an instant when its linear velocity is v and angular velocity is ω will be