A crate, in the form of a cube with edge lengths of 1.2 m, contains a piece of machinery; the center of mass of the crate and its contents is located 0.123 m above the crate's geometrical center. The crate rests on a ramp that makes an angle 0 with the horizontal. As 0 is increased from zero, an angle will be reached at which the crate will either tip over or start to slide down the ramp. If the coefficient of static friction µg between ramp and crate is O.55, (a) does the crate tip or slide? (b) At what angle 0 does this occur? If µg = 0.94, (c) does the crate tip or slide? (d) At what angle 0 does this occur? (Hint: At the onset of tipping, where is the normal force located?)

A crate, in the form of a cube with edge lengths of 1.2 m, contains a piece of machinery; the center of mass of the crate and its contents is located 0.123 m above the crate's geometrical center. The crate rests on a ramp that makes an angle 0 with the horizontal. As 0 is increased from zero, an angle will be reached at which the crate will either tip over or start to slide down the ramp. If the coefficient of static friction µg between ramp and crate is O.55, (a) does the crate tip or slide? (b) At what angle 0 does this occur? If µg = 0.94, (c) does the crate tip or slide? (d) At what angle 0 does this occur? (Hint: At the onset of tipping, where is the normal force located?)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

A crate, in the form of a cube with edge lengths of 1.2 m, contains a piece of machinery; the center of mass of the crate and its
contents is located 0.123 m above the crate's geometrical center. The crate rests on a ramp that makes an angle 0 with the
horizontal. As 0 is increased from zero, an angle will be reached at which the crate will either tip over or start to slide down the ramp.
If the coefficient of static friction Hs between ramp and crate is .55, (a) does the crate tip or slide? (b) At what angle 0 does this
occur? If us = 0.94, (c) does the crate tip or slide? (d) At what angle 0 does this occur? (Hint: At the onset of tipping, where is the
normal force located?)

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