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Question

Find the relation between the acceleration of sphere (a) and acceleration of wedge (b) in the figure shown

  1. a=bcosαcosβ
  2. a=bcosβcosα
  3. a=bcos2βsinα
  4. a=bsin2βcosα


Solution

The correct option is A a=bcosαcosβ
The acceleration of the bodies perpendicular to the surface of contact are equal as both the bodies should not loose the contact with each other, hence by figure we have
acosβ=bcosα

a=bcosαcosβ

Hence option A is the correct answer

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