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# (II) (a) Calculate the magnitude of the force, FM required ISBN: 9780130606204 3

## Solution for problem 32P Chapter 9

Physics: Principles with Applications | 6th Edition

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Problem 32P

(II) (a) Calculate the magnitude of the force, FM required of the "deltoid" muscle to hold up the outstretched arm shown in Fig. 9-72. The total mass of the arm is 3.3 kg. (b) Calculate the magnitude of the force FJ exerted by the shoulder joint on the upper arm and the angle (to the horizontal) at which it acts. Step-by-Step Solution:

Step-by-step solution

Step 1 of 5 ^

We are going to draw the free body diagram of the system Shoulder joint is taken as pivot point O

Fm; The force exerted by muscle.

W: the weight of the arm/

Fj; the reaction force exerted from the joint.

dfm; the force  distance from muscle force to pivot pint

dw; the force distance from weight of the arm to pivot point.

Step 1 of 5 ^

We are going write the second condition of equilibrium as taking  the torques around pivot point to find the force exerted by muscle.       The force exerted by muscle to hold the arm.

Step 2 of 5 ^ Fmy: vertical component of Fm

Fmx: horizontal component of Fm

Fjx; horizontal component of reaction force from the joint

Fjy; vertical component of reaction force from the joint        Step 3 of 5 ^

We are going to use the second condition of equilibrium.  To find the components of the reaction force from the joint.     X component of the reaction force from the pivot point

Step 4 of 5

Step 5 of 5

##### ISBN: 9780130606204

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