Please consider the following scenario: a 70kg individual is standing on the right foot with no support over the contralateral extremity. Within the ipsilateral hip joint, the distance from the center of femoral head rotation to the center of gravity is 25cm, and distance from the same point to abductor muscle attachment to the greater trochanter is 5cm. Please calculate the following:

a. The vertical component of the joint reaction force, and

b. The force exerted by the abductor muscle if it is acting at 30 degrees from the vertical. Express your answer in newtons and show your work. You may include a diagram and scan/embed into your answer.