1. A uniform plank of length 2.00 m and mass 34.0 kg is supported by three ropes

Question

1. A uniform plank of length 2.00 m and mass 34.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 675-N person is d = 0.700 m from the left end.

2. In an isometric exercise a person places a hand on a scale and pushes vertically downward, keeping the forearm horizontal. This is possible because the triceps muscle applies an upward force M perpendicular to the arm, as the drawing indicates. The forearm weighs 23.0 N and has a center of gravity as indicated. The scale registers 113 N. Determine the magnitude ofM.
N

|1| = N |2| = N |3| = N

A uniform plank of length 2.00 m and mass 34.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 675-N person is d = 0.700 m from the left end. T rightarrow T rightarrow T rightarrow

Explanation / Answer

A)

taking moment about the junction point of T2 & T3

675*0.7 + 34*9.81*1 = T1sin(40) * 2

T1= 626.98 N

along horizontal axis

T3=T1*cos(40) = 480.3 N

T1sin(40) + T2= 34*9.81 +675

T2 = 605.525 N

B) 113 + 23 = M

M=136 N

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