(Solved): 5. When you hold your arm straight out, horizontally to your side, two forces are acting to hold y ...

5. When you hold your arm straight out, horizontally to your side, two forces are acting to hold your arm up. There is a force from your deltoid muscle pulls up on your arm. There is a second force from your shoulder joint that pushes down slightly at the very end of your arm. These two forces are sketched on an arm haln... For this person's arm, the deltoid muscle's force, $$F_D$$ in the image, acts from a point $$12.0\mathrm{cm}$$ from their shoulder and pulls up at a $$15.0^{?}$$ angle from their horizontal arm. The force from the shoulder joint acts at the very end of their arm and pushes down slightly at an angle $$?$$. The center of mass of the arm is very close to the elbow, $$24.0\mathrm{cm}$$ from their shoulder. Their arm has a mass of $$3.30\mathrm{kg}$$. [20 pts] a. Describe where the axis for your arm would be. [1 point] b. Find the equation for the net torque acting on the arm. You can substitute in values you know, but should leave unknowns as variables. [5 points] c. Find the equation for the net force in the x-direction on the arm. Use the axes shown in the image. $$[3$$ points] d. Find the equation for the net force in the y-direction on the arm. [4 points] e. Use your equations to calculate the magnitude of the force from the deltoid muscle, $$F_D$$. $$[3$$ pts] f. Use your equations to calculate the angle of the force from the shoulder joint, $$?$$. [4 points]