$1.$ Consider the right arm with the upper arm pointed down and elbow flexed with the forearm pointed forward making a flexion angle of $\backslash (\backslash$theta $\backslash )$ to the upper arm. Assume the following:

$-$ There is a weight in the hand of known mass

$-$ The center of rotation about the elbow is known

$-$ The biceps is the only muscle acting and its line of action is vertical

$-$ The position of the insertion of the biceps tendon at the forearm is known

$-$ The mass of the arm is known and is assumed to be uniformly distributed along the length of the arm.

$-$ The length of the forearm is known and is defined as the distrance from the center of rotation of the elbow to the center of mass of the weight in the hand.

$-\backslash (\backslash$quad $\backslash$theta $\backslash )$ and its first and second derivatives $\backslash (\backslash$dot$\{\backslash$theta$\},\backslash$ddot$\{\backslash$theta$\}\backslash )$ are known and are not zero.

Draw a free body diagram and use it to define all the knowns and unknowns in this problem with appropriate symbols. Use conservation of linear and angular momentum to derive the equations needed to solve for the unknowns. Are there any conditions when the solution would not be possible and$/$or would be inconsistent with ther assumptions?