FRICTION-2

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FRICTION-2

• BY
• GP CAPT NC CHATTOPADHYAY

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CAN I INTROSPECT.?
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TYPICAL PROBLEMS. WITH INCLINED PLANE
RN
F
W SIN ?
?
W COS ?
W
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TYPICAL SITUATIONS

• NUMERICALS..
• On to the white board

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DETERMINATION OF FORCE

• EQUILIBRIUM OF A BODY ON A ROUGH INCLINED PLANE
  HAVING A FORCE AT SOME ANGLE WITH THE INCLINED
  PLANE
• - AT THE POINT OF SLIDING DOWNWARDS
• - AT THE POINT OF SLIDING UPWARDS

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NUMERICAL

• A LADDER OF WEIGHT W IS IN EQUILIBRIUM WITH
  ITS RESPECTIVE ENDS RESTING ON VERTICAL WALL AND
  FLOOR. WITH µ1 AND µ2 AS THE FRICTION
  COEFFICIENTS AT FLOOR AND WALL RESPECTIVELY, SHOW
  THAT AT THE POINT OF SLIPPING, THE LADDER ANGLE ß
  WITH RESPECT TO GROUND IS GIVEN BY
• tan ß (1- µ1 µ2 )/ 2 µ1

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NUMERICAL

• A SPHERE OF WT W AND RADIUS R IS RESTING ON A
  ROUGH INCLINED PLANE AT AN ANGLE ß WITH RESPECT
  TO GROUND. A SMALL WT OF w IS ATTACHED AT THE
  TOP END OF DIAMETER PARALLEL TO INCLINED PLANE.
  IF THE SPHERE IS NOW PREVENTED FROM ROLLING DOWN,
  PROVE THAT-
• w W sinß/ (cosß- sinß)

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I THINK. I CAN THINK.