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Grade: 11

                        

A crate in the form of a 1.12-m cube contains a piece of machinery whose design is such that the center of gravity of the crate and its contents is located 0.28 m above its geometrical center. The crate rests on a ramp that makes an angle θ with the horizontal. As θ is increased from zero, an angle will be reached at which the crate will either start to slide down the ramp or tip over. Which event will occur if the coefficient of static friction is (a) 0.60? (b) 0.70? In each case give the angle at which the event occurs.

5 years ago

Answers : (1)

Kevin Nash
askIITians Faculty
332 Points
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Therefore, the crate will tip when the angle of inclination is 33.6° .
It is important to note that the angle θt is independent of coefficient of static friction between the crate and the surface of inclined plane. Therefore, one can use the same value in other parts without repeating the calculations.

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5 years ago
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  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


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