When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure P8.24a. The total gravitational force on the body, F, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure P8.24b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F, = n = 700. N. -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm Figure P8.24
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- A cook holds a 2.00-kg carton of milk at arm's length must be exerted by the biceps (Fig. P8.19). What force F muscle? (Ignore the weight of the forearm.) Milk 75.0° 25.0 cm 8.00 cm Figure P8.19A 35 N forearm (we are ignoring the hand for this problem) are held at a 45 deg angle to the vertically oriented humerus. The COM of the forearm is located at a distance of 15 cm from the joint center at the elbow, and the elbow flexor muscles have a 3 cm moment arm. How much force must be exerted by the elbow flexor muscles to maintain this position? Hide answer choices A A 35 N C 81.7 N 123.7 N D 371 N Fm 45° * --Wt₂The plank is a great way to strengthen abdominal, back, and shoulder muscles. You can also use this exercise position to locate your center of gravity. Holding plank position with a scale under his toes and another under his forearms, one athlete measured that 66.0% of his weight was supported by his forearms and 34.0% by his toes. (That is, the total normal forces on his forearms and toes were 0.660w and 0.340w, respectively, where w is the athlete’s weight.) He is 1.80 m tall, and in plank position the distance from his toes to the middle of his forearms is 1.53 m. How far from his toes is his center of gravity?
- Figure P8.27. Find the tension in each rope when a 700.-N worker stands 1.00 m from one end? e2cm lon ropes, as indicated by the blue vectors in 27. VA uniform plank of length 2.00 m and mass 30.0 ke by three ropes, as indicated by the blue vectors in supported Figure P8.27. Find the tension in each rope when a 700 N person is d = 0.500 m from the left end. er of gravig fo 12, modeling rethooran 8 B of model 10.26 T, T2 0.250 Theatthe le 40.0° lid or boln vibbud ns bano sdi svode m81 o + d » 3. 2.00 m di In bas rirob be ss gairda Figure P8.27 goil sdrto idgiod oh bail rel 2 00 bou d 28. A hungry bear weighing 700. N walks out on a heam inA 50 N hand and forearm are held at a 35° angle to the vertically oriented humerus. The CG of the forearm and hand is located at a distance of 12.5 cm from the joint center at the elbow, and the elbow flexor muscles attach at an average distance of 2.5 cm from the joint center. (Assume that the muscles attach at an angle of 35° to the forearm bones.) How much force must the forearm flexors exert if a 50 N weight is held in the hand at a distance along the arm of 25 cm?Figure P8.76 shows a clawhammeras it is being used to pull anail out of a horizontal board.If a force of magnitude 150 N isexerted horizontally as shown,find (a) the force exerted bythe hammer claws on the nailand (b) the force exerted bythe surface at the point of contactwith the hammer head.Assume that the force thehammer exerts on the nail isparallel to the nail and perpendicularto the position vector fromthe point of contact.
- A 50 N hand and forearm are held at a 35° angle to the vertically oriented humerus. The CG of the forearm and hand is located at a distance of 12.5 cm from the joint center at the elbow, and the elbow flexor muscles attach at an average distance of 2.5 cm from the joint center. (Assume that the muscles attach at an angle of 35° to the forearm bones.) How much force must be exerted by the forearm flexors to maintain this position?A person places his hand palm downward on a scale and pushes down on the scale until it reads 96.0 N. The triceps muscle is responsible for this arm extension force. Find the force exerted by the triceps muscle. The bottom of the triceps muscle is 2.50 cm to the left of the elbow joint, and the palm is pushing at approximately 29.0 cm to the right of the elbow joint. P 96.0 N 2.50 cm and Q = 29.0 cm. where P =When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total is supported by the force n exerted by the floor on the toes of one foot. A mechanical gravitational force on the body, F model of the situation is shown in Figure b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F, = n = 770 N. (For 0, enter the smaller of the g' two possible values between 0° and 90°.) -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm a T = R = N = Submit Answer
- When 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.In exercise physiologystudies, it is sometimesimportant todetermine the location ofa person’s center of gravity.This can be done withthe arrangement shownin Figure P8.21. A lightplank rests on two scalesthat read Fg1 = 380. N andFg2 = 320. N. The scales are separated by a distance of 2.00 m.How far from the woman’s feet is her center of gravity?The arm in Figure P8.17 weighs 41.5 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force F, in the deltoid muscle and the force F, exerted by the shoulder on the humerus (upper- arm bone) to hold the arm in the position shown. F, 12° F, '0.080 m -0.290 m Figure P8.17