A worker with mass m = 70 kg is trying to stretch his muscles with the help of a vertical wall. Assume that each hand is exerting a horizontal force of 50 N on the wall. What is the magnitude of the normal force acting by the wall on each of %3D his hands?
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- A 20.0-kg horizontal plank 4.00 in long rests on two supports, one at the left end and a second 1.00 m from the right end. What is the magnitude of the force exerted on the plank by the support near the right end? (a) 32.0 N (b) 45.2 N (c) 112 N (d) 131 N (e) 98.2 NWhen a gymnast weighing 740 N executes the iron cross as in figure (a), the primary muscles involved in supporting this position are the latissimus dorsi ("lats") and the pectoralis major ("pecs"). The rings exert an upward force on the arms and support the weight of the gymnast. The force exerted by the shoulder joint on the arm is labeled Fs while the two muscles exert a total force Fm on the arm. Determine the magnitude of the force Fm. Note that one ring supports half the weight of the gymnast, which is w = 370 N as indicated in figure (b). Assume that the force Fm acts at an angle of 45° below the horizontal at a distance of 4.0 cm from the shoulder joint. In your estimate, take the distance from the shoulder joint to the hand to be L = 71 cm and ignore the weight of the arm.If, when bent over, the hands are at a horizontal distance of 76.0 cm from the sacrum and the back muscles are at a horizontal distance of 44.0 cm from the sacrum and act at a 12.0° angle above the horizontal, what is the component of the force exerted by the back muscle that compresses the spine?
- Everett is attempting to lift 112 N. The perpendicular distance from the weight to his elbow joint is 21 cm. Theforce created by the elbow flexor muscles is 1485 N. The perpendicular distance from this force to the elbow jointis 1.8 cm. Is Everett able to lift the weight with this amount of force in his flexor muscles?The two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle which R makes with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. 5.4 KN 2.5 KN Answers: R = i 0 = i 31° /1 14 sata, 201 57³ KN OA bodybuilder holds a dumbbell of weight Wd. His arm is horizontal and weighs 47 N. The deltoid muscle is assumed to be the only muscle acting and is attached to the arm as shown. The maximum force M that the deltoid muscle can supply has a magnitude of 2481 N. The distances that locate where the various forces act on the arm. What is the weight of the heaviest dumbbell that can be held by the bodybuilder? Note: Express your answer in whole numbers. No unit is required for the final answer. M. ... r13.0° +y Wa 0.150 m 0.280 m +T 0.620 m (b) Free-body diagram of the arm M Deltoid Dumbbell 13.0 muscle Axis Shoulder joint (a) (c)
- The arm in the figure below weighs 37.7 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force in the deltoid muscle and the force F S exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. (Enter your answers to at least the nearest newton.) N Ft Fs N √12⁰ 0 F 0.080 m -0.290 m TEThe two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle which R makes with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. 3.7 KN 1.6 kN Answers: R= i 0= 31° a / 000/00 O P 519 KN 2When you lift an object by moving only your forearm, the main lifting muscle in your arm is the biceps. Suppose the mass of a forearm is 1.30 kg . If the biceps is connected to the forearm a distance dbiceps = 3.00 cm from the elbow, how much force Fbiceps must the biceps exert to hold a 750 g ball at the end of the forearm at distance dball = 35.0 cm from the elbow, with the forearm parallel to the floor? How much force Felbow must the elbow exert? What is the horizontal distance dforearm between the elbow and the point where the weight of the forearm acts?
- When you lift an object by moving only your forearm, the main lifting muscle in your arm is the biceps. Suppose the mass of a forearm is 1.30 kg . If the biceps is connected to the forearm a distance dbiceps = 3.00 cm from the elbow, how much force Fbiceps must the biceps exert to hold a 750 g ball at the end of the forearm at distance dball = 35.0 cm from the elbow, with the forearm parallel to the floor? How much force Felbow must the elbow exert? (Figure 1)Consider the following figure. (a) What force in newtons should the woman in the figure exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. N (b) The triceps muscle at the back of her upper arm has an effective lever arm of 1.76 cm, and she exerts force on the floor at a horizontal distance of 19.6 cm from the elbow joint. Calculate the magnitude of the force in newtons in each triceps muscle. N Compare the magnitude of the total force exerted by both triceps muscles to her weight. total force exerted by both triceps muscles her weight = (c) How much work does she do in joules if her center of mass rises 0.230 m? J (d) What is her useful power output in watts if she does 26 push-ups in one minute? WConsider a horizontal forearm. On one end of the forearm is the elbow, and on the other end is the hand. The forearm has a mass of 2.08 kg. The distance from the elbow to the hand is 39.7 cm. If the biceps muscle connects to the forearm a distance of 4.73 cm from the elbow, and the biceps muscle can supply a maximum force of 1.417E+3 N (with the forearm in a horizontal position), what is the maximum mass (in kg) that the person can hold?