Question

3. A painter stands on a uniform 50.0 lb plank. The plank is supported by two ropes, one at each end of the 10.0 ft long plank. The painter weighs 150 lb and stands 2.00 ft from the right end of the plank. How much tension is there in each rope? S0 (9.8 1470 8 2-1 I0

Answer 1

Tension in rope which is hold a uniform plank on which a painter stands

Tension in rope which is hold a uniform plank on which a painter stands Torque about point A sigma tau_A = 0, -50 times 5 - 150 times 8 + T_2 times 10 = 0 -250 - 1200 + 10T_2 = 0 10T_2 = 1450 T_2 = 145 lb And sigma F = 0, so T_1 + T_2 = 50 + 150 T_1 + 145 = 200 T_1 = 200 - 145 = 55 T_1 = 55lb