A 640 N person must have her injured arm supported, with the upper arm horizonta

Question

A 640 N person must have her injured arm supported, with the upper arm horizontal and the forearm vertical. Her upper arm is 26 cm long (measured from the shoulder joint), accounts for 3.50% of her body weight, and has a center of mass 13.0 cm from her shoulder joint. Her forearm (including the hand) is 34.0 cm long, makes up 3.25% of her body weight, and has a center of mass 43.0 cm from her shoulder joint. (c) Find the horizontal and vertical components of the force that the shoulder joint exerts on her arm.

Explanation / Answer

let origin is shoulder joint: Xcm = (13*(640*3.5/100) + 26*(640*3.25/100) )/( (640*3.25/100) + (640*3.5/100) ),,,, Ycm = (17* (640*3.25/100))/( (640*3.25/100) + (640*3.5/100) ),,, forces on his arm will be (640*3.25/100)*g and (640*3.25/100)g both downwards and Tension T (upwards ) on the string

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