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posted by  Stevieeee on 11/21/2009 5:48:27 PM  |  status: Closed  |  Earned Karma: 25

hw15 #7

Course Textbook Chapter Problem Needs by
General Physics Physics (3rd) by Walker N/A N/A 11/21/2009 at 11:59:00 PM
Question Details:
A cat walks along a uniform plank that is 4.00 m long and has a mass of 7.00 kg. The plank is supported by two sawhorses, one 0.44 m from the left end of the board and the other 1.68 m from its right end. When the cat nears the right end, the plank just begins to tip. If the cat has a mass of 3.0 kg, how close to the right end of the two-by-four can it walk before the board begins to tip? 
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posted by zsm28 on 11/21/2009 6:08:29 PM  |  status: Live
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Response Details:
L = 4.00 m, M = 7.00 kg. a = 0.44 m, b = 1.68 m, m = 3.0 kg, find x
when the board begins to tip, the force on the left support is zero, the net torque about the right support = 0
Mg*(L/2 - b) = mg*(b - x)
∴x = b - M(L/2 - b)/m = 0.93 m
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