3/61 A force of magnitude P = 180 N is applied to the stationary machine handle as shoWn. Write the force and moment reactions at O as vectors. Neglect the weight of the handle assembly. A 15 125 mm 200 mm Problem 3/61

The forces acting on the arm of an athlete doing shoulder exercises are shown in the figure. The athlete holds his arm at an angle of β = 30° with the horizontal axis . Point O represents the axis of rotation in the shoulder joint, point A represents the connection point of the deltoid muscle to the humerus, point B represents the center of gravity of the arm, and point C represents the application point of the force acting on the hand. The distances between the rotation axis (O point) of the shoulder joint and the points A, B and C are a=22 cm , b =33 cm and c= 60 cm , respectively .  A force of F= 120 N,  which makes an angle of γ=30° with the vertical from the point C, acts on the athlete's hand  .   Weight of the athlete's armW= 80 N. The direction of application of the Fm muscle force makes an angle of α=20° with the longitudinal axis of the arm. According to this; a) Calculate the muscle strength  F M b) Calculate  the angle θ of the joint reaction force F J with the horizontal.…

Only handwritten answer is needed please

and For problem above, Replace the loading on the system below by a single resultant force. Find the points on the x- and y – axes through which the resultant force must pass.