t = 1 N s = 2 Your response is within 10% of the correct value. This may be due
ID: 2142023 • Letter: T
Question
t = 1 N s = 2Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N The arm in the figure below weighs 37.4 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force F t in the deltoid muscle and the force F s exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown.
Explanation / Answer
balancing torque about point'O'
Ft*sin(12)*0.08 = Fg* 0.29....(1)
balancing force in y- direction
Ft*sin(12) - Fs*sin(?) = Fg ......(2)
balancing force in x-direction:
Ft*cos(12) =Fs*cos(?) .......... (3)
but,
Fg=37.4 N
from equation (1)
Ft=652.07973 N............answer
from equation (2)
Fs*sin?=98.175 N...............(4)
from equation (3)
Fs*cos?=637.830 N...............(5)
from equation (4) and (5)
Fs=645.3415 N ...............answer
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