All three spheres are identical having radius 10 cm. There is no slipping at any point of contact. Plank P and Q are moving in opposite direction with speed 10 and 30 cm/sec. height of instantaneous a

Question

All three spheres are identical having radius 10 cm. There is no slipping at any point of contact. Plank P and Q are moving in opposite direction with speed 10 and 30 cm/sec. height of instantaneous axis of rotation of sphere A from the ground is :

Prashant Kotian · Accepted Answer

Correct answer: D. Let x be the distance of axis of rotation from the top of sphere A (downward). Since angular velocity of the top and bottom point of sphere A will be same, therefore, 30 10 (2R ) x x    1v =30 2 v =10  A x 30 10 20 x x    x = 15  Distance from ground = 2R + (2R  x) = 20 + 5 = 25 cm

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