A uniform plank of mass 5.00 kg and length 3.60 m is supported by vertical ropes at its ends as in the figure below. A 60.0-kg painter is located 0.500 m to the left of the center and an 8.00 kg bucket is 1.00 m to the right of the center. Find the tensions ?1 and ?2 in the ropes.
Here,
for the tension T1
balacning the torque about the right end
-5 * 9.8 * 1.8 - 8 * 9.8 * 1 - 60 * 9.8 * (3.6 - 0.50) + T1 * 3.6 = 0
solving for T1
T1 = 552.61 N
the tension T1 is 552.61 N
Now, balancing the vertical forces
T1 + T2 - total weight = 0
552.6 + T2 = (60 + 5 + 8)* 9.8
T2 = 162.8 N
the tension T2 is 162.8 N
A uniform plank of mass 5.00 kg and length 3.60 m is supported by vertical ropes...
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