Julie has been hired to help paint the trim of a building, but she is not convin
ID: 1389854 • Letter: J
Question
Julie has been hired to help paint the trim of a building, but she is not convinced of the safety of the apparatus. A 4.4 m plank is suspended horizontally from the top of the building by ropes attached at each end. She knows from previous experience that the ropes being used will break if the tension exceeds 1.0 kN. Her 92 kg boss dismisses Julie's worries and begins painting while standing 1.0 m from the end of the plank. If Julie's mass is 52 kg and the plank has a mass of 22 kg, then over what range of positions can Julie stand to join her boss without causing the ropes to break?
0 < x <
Explanation / Answer
the system comprising of julie and board in wequilibrium
net torque abou the left end = 0
max Tr = 1000 N
M*g*x + m*g*(L/2) = Tr*L
(144*9.8*x) + (22*9.8*2.2) = 1000*4.4
x = 2.78 m <-----answer
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