A cat walks along a uniform plank that is 4.00 m long and has a mass of 7.00 kg.

Question

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 1.63 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 5.2 kg, how close to the right end of the two-by-four can it walk before the board begins to tip? m

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 1.63 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 5.2 kg, how close to the right end of the two-by-four can it walk before the board begins to tip? m

Explanation / Answer

when it is begins to tip f1 = 0

balancing torque about f2 axis gives

Mg*0.3 = mg(1.7-x)

x = 1.08m

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