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# BIO A Good Work out. You are doing exercises on a Nautilus

ISBN: 9780321675460 31

## Solution for problem 22E Chapter 11

University Physics | 13th Edition

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Problem 22E

BIO A Good Work out. You are doing exercises on a Nautilus machine in a gym to strengthen your deltoid (shoulder) muscles. Your arms are raised vertically and can pivot around the shoulder joint, and you grasp the cable of the machine in your hand 64.0 cm from your shoulder joint. The deltoid muscle is attached to the humerus 15.0 cm from the shoulder joint and makes a 12.0° angle with that bone (?Fig. E11.22?). If you have set the tension in the cable of the machine to 36.0 N on each arm, what is the tension in each deltoid muscle if you simply hold your outstretched arms in place? (Hint: Start by making a clear free-body diagram of your arm.)

Step-by-Step Solution:

Solution to 22E Step 1 of 3 Introduction Since the arms are hold at a place, the arm is in equilibrium. Thus, the net torque on the arm at the shoulder joint should be zero. Length of arm=64cm=0.64m Length of humerus=0.15m Step 2 of 3 Step 3 of 3 Finding the torque at the point S which is the shoulder joint. There will be no torque along the arm, because the centre of gravity lies along the length of the arm. F=605.17N

Step 3 of 3

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