A cat named SchrÖdinger 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 that is 0.44 m from the left end of the plank, and the other that is 1.50 m from the right end. When the cat reaches the very right end of the plank, the plank starts to tip. What is Schrodinger’s mass? Note: Just when the plank begins to tip, the normal force on the plank from the sawhorse on the left will go to zero.
1 answer:
Answer:
2.3 kg
Explanation:
L = length of the plank = 4 m
M = mass of the plank = 7 kg
m = mass of cat = ?
= Weight of the cat = mg
= Weight of the plank = Mg = 7 x 9.8 = 68.6 N
ED = 2 m
CD = 1.5 m
EC = ED - CD = 2 - 1.5 = 0.5 m
Using equilibrium of torque about sawhorse at C
(EC) =
(CD)
(68.6) (0.5) = (mg) (1.5)
(68.6) (0.5) = (m) (1.5) (9.8)
m = 2.3 kg
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