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A light inextensible string connects a block of mass m and top of wedge of mass M. The string is parallel to inclined surface and the inclined surface makes and angle θ with horizontal as show in the figure. All surfaces are smooth. Now a constant horizontal force of minimum magnitude F is applied to wedge towards right such that the normal reaction on block exerted by wedge just becomes zero.
Select one or more:
  • a)
    Tension is  mg csc θ
  • b)
    magnitude of acceleration of wedge is g tan θ
  • c)
    Tension is mg sec θ
  • d)
    magnitude of acceleration of wedge is  g cos θ
Correct answer is option 'A,D'. Can you explain this answer?
Verified Answer
A light inextensible string connects a block of massmand top of wedge ...
From wedge constraint, if acceleration of wedge is a then component of acceleration of block normal to inclined surface is a sin θ. Applying Newton’s law to block in direction normal to the inclined surface, 



Since normal reaction is zero and the acceleration of block is horizontal. The net vertical force on block is zero.
Therefore 

The correct answers are: magnitude of acceleration of wedge is  g cos θ, Tension is  mg csc θ
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A light inextensible string connects a block of massmand top of wedge of massM. The string is parallel to inclined surface and the inclined surface makes and angleθwith horizontal as show in the figure. All surfaces are smooth. Now a constant horizontal force of minimum magnitude F is applied to wedge towards right such that the normal reaction on block exerted by wedge just becomes zero.Select one or more:a)Tension ismg cscθb)magnitude of acceleration of wedge is g tanθc)Tension ismg sec θd)magnitude of acceleration of wedge isg cos θCorrect answer is option 'A,D'. Can you explain this answer?
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