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- BIO When a gymnast performing on the rings executes the iron cross, he maintains the position at rest shown in Figure P10.85a. In this maneuver, the gymnasts feet (not shown) are off the floor. The primary muscles involved in supporting this position are the latissimus dorsi (lats) and the pectoralis major (pecs). One of the rings exerts an upward fore Fh on a hand as shown in Figure P10.85b. The force Fs is exerted by the shoulder joint on the arm. The latissimus dorsi and pectoralis major muscles exert a total force Fm on the arm. (a) Using the information in the figure, find the magnitude of the force Fm. (b) Suppose an athlete in training cannot perform the iron cross but can hold a position similar to the figure in which the arms make a 45 angle with the horizontal rather than being horizontal. Why is this position easier for the athlete? Figure P10.85Force F acts at point C on the bent pipe OABC. Determine the magnitudes of the moments of F about the following locations in ft · kips. (AB is parallel to the x-axis.) (a) pipe segment AB _______________ft · kips (b) pipe segment OA _______________ft · kips (c) line OD _______________ft · kipsWe analyzed the biceps muscle example with the angle between forearm and upper arm set at 90 degree (see figure below). Find the force exerted by the biceps muscle when the angle is 100 degree and the forearm is in a downward position. (Assume that r_1 = 5.0 cm, r_2 = 18cm, r_3 = 36 cm, m_a = 2.0 kg, and m_b = 3.0kg. Enter the magnitude.) N
- A uniform spool is suspended from a vertical wall by a string attached to the spool’s thin axle. The axle is horizontal, as shown below. The wall is smooth, so it exerts no frictional force on the spool. The tension in the string is 2.6 N. What is the weight of the spool? a 1.2 N b 1.0 N c 0.5 N d 2.4 N e 2.6 NA fisherman has caught a fish on his pole, and to keep the pole steady he has to apply an upward force of F2 = 265 N at an angle of 58° with respect to the pole (see figure). The length of his pole is 3.2 m, and he is holding it a distance 0.65 m from the end, where he is applying a downward force F1. Part (a) With how much force, F1, in newtons, does he have to push straight downward on the end of his pole to keep the pole from moving? You may assume the pole is massless. Part (b) What is the mass of the fish on the end of the pole, in kilograms?A 10.0-kg monkey climbs a uniform ladder with weight w = 1.09 ✕ 102 N and length L = 3.40 m as shown in the figure below. The ladder rests against the wall at an angle of ? = 60°. The upper and lower ends of the ladder rest on frictionless surfaces, with the lower end fastened to the wall by a horizontal rope that is frayed and that, can support a maximum tension of only 80.0 N.
- Scientists have studied how snakes grip and climb ropes. In one study, they found that an important characteristic of a rope is its "compliance"--that is, how easily the rope, while under tension, can be flexed. (Figure 1) shows how scientists measured a rope's compliance by attaching it to two strings, each supporting an identical mass m. The lower part of the rope is held under tension by a spring (not shown). The strings contort the rope so that its middle section lies at angle θ. . a)For θ = 45 ∘ and m = 300 g, what is the tension T1 in the upper part of the rope? For θ = 45 ∘ and m = 300 g, what is the tension T2 in the middle part of the rope?)Ivana Alawi placed a 50.0 g mass at the 20 cm mark in meterstick as shown in the figure. what is the mass of the meter stick if fulcrum is placed at the 39.5 cm mark and the meter stick remains horizontal in static equilibrium? meter.PNG 135.0 g 120.0 g 18.0 g 93.0 g 45.0 gThe figure below shows two blocks connected by a string of negligible mass passing over a frictionless pulley. m1 = 9.0 kg and ? = 12.0°. Assume that the incline is smooth. a) For what value of m2 (in kg) will the system be in equilibrium? m2 = kg (b) If the block has to slide down the incline with an acceleration of 0.4 m/s2, what should be the value of m2 = (in kg)
- A uniform meter sick of mass 140 g is held horizontally by two vertical strings, one at the zero cm mark and the other at the 92 cm mark. Find the tension in the string at the 92 cm mark. Hint: Recall the torque lab.Children playing pirates have suspended a uniform wooden plank with mass M = 13.4 kg, length ℓ = 2.40 m, and angle θ = 35.0°, as shown in the figure. Sophia, with a mass of m = 21.6 kg, is made to "walk the plank" and is d = 1.5 m from reaching the end of the plank. What is the tension acting on the rope at the end (i.e value of F3)?It's a beautiful sunny day and you decide to go fishing for small crappies. Instead a very large curious carp takes your bait and accelerates at a rate of 4.2 m/s^2 when it realizes that it is hooked. You only used fishing line that guarantees a max tensile strength of 25 pounds. What is the maximum weight (kg) of the carp you could catch without snapping the line?