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Question: Answered & Verified by Expert
An object is kept on a smooth inclined plane of inclination 1 in l. Find the horizontal acceleration that should be imparted to the inclined plane such that the object remains stationary relative to the inclined plane.
PhysicsLaws of MotionNEET
Options:
  • A gl2-1
  • B g(l2-1)
  • C gl2-1  
  • D gl2+1
Solution:
1232 Upvotes Verified Answer
The correct answer is: gl2-1  
The object moves a height of 1 m when it travels a distance lalong the incline.

Here,  sinθ=1l

Let required acceleration of inclined plane be a for the object to remain stationary relative to incline, we have



sinθ=1l

tanθ=1l2-1

macosθ=mgsinθ

a=gtanθ  =gl2-1

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