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TS EAMCET · Physics · Laws of Motion

A block is placed on a parabolic shape ramp given by equation y=x220. If the coefficient of static friction μs is 0.5, then what is the maximum height above the ground at which the block can be placed without slipping?

  1. A 2.5 m
  2. B 1.25 m
  3. C 0.5 m
  4. D 0.25 m
Verified Solution

Answer & Solution

Correct Answer

(B) 1.25 m

Step-by-step Solution

Detailed explanation

The block will start slipping when the slope of the curve will be equal to tanθ where θ is angle of repose. The slope of the curve at any x will be, m=dydx=x10. Equating, μs=x10⇒0.5=x10⇒x=5 m Height at x=5 will be, h=x220=1.25 m
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