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The drawing shows an outstretched arm (0.61 m in length) that is parallel to the

ID: 1311773 • Letter: T

Question

The drawing shows an outstretched arm (0.61 m in length) that is parallel to the floor. The arm is pulling downward against the ring attached to the pulley system, in order to hold the 98-N weight stationary. To pull the arm downward, the latissimus dorsi muscle applies the force vector M in the drawing, at a point that is 0.069 m from the shoulder joint and oriented at an angle of 29°. The arm has a weight of 41 N and a center of gravity (cg) that is located d = 0.28 m from the shoulder joint. Find the magnitude of vector M .

Explanation / Answer

by statics

98 - (41 / 0.61 * 0.28) = 79.18

79.18 * 0.61 / 0.069 = 699.997

M = 699.997 / cos(29) = 800.344 Newtons.

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