Treat the upper limb as one segment with a centre of mass (d2) 36.0 cm from the shoulder joint. The upper limb has a mass of 4.3 kg. The skeletal muscle illustrated is maintaining the static position of the upper limb. The muscle inserts and has a moment arm (d1) 17.6 cm from the shoulder joint. The upper limb is not moving. A vector illustrates the direction of force generated by the muscle. Determine the vertical component of the force created by the muscle in order to maintain this static position.

You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F_AL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,θ,ϕ. Then use the following values to get a number for the magnitude of F_AL.   θ = 30.3 degrees ϕ = 23.028 degrees x = 1.491 meters L = 7.1 meters m_Y = 86.0 kg m_L = 42.14 kg Find the magnitudes of: F_AL, normal force of the wall on the ladder (N_WL), and normal force of the floor on the ladder (N_FL).

Chapter 12, Problem 037 GO In the figure, a uniform plank, with a length L of 6.83 m and a weight of 386 N, rests on the ground and against a frictionless roller at the top of a wall of height h = 2.78 m. The plank remains in equilibrium for any value of e = 70.0° or more, but slips if e < 70.0°. Find the coefficient of static friction between the plank and the ground. Roller Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

A traffic light hangs from a pole as shown in the figure ( Figure 1). The uniform aluminum pole AB is 7.40 m long and has a mass of 11.0 kg. The mass of the traffic light is 23.0 kg. Determine the tension in the horizontal massless cable CD. Figure 3.80 m C 37° A T = 距 ΑΣΦ Submit Request Answer Part B ? N Determine the vertical component of the force exerted by the pivot A on the aluminum pole. ΜΕ ΑΣΦ 1 of 1 Fp,vertical = B Submit Request Answer 000 Part C ? N Determine the horizontal component of the force exerted by the pivot A on the aluminum pole. Fp,horizontal= ΜΕ ΑΣΦ ? 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. As shown  how scientists measured a rope’s compliance by attaching it to two strings, each supporting an identical mass m. The strings contort the rope so that its middle section lies at angle θ. For θ = 30° and m = 100 g, what are the tensions T1 and T2 in the upper and middle parts of the rope?

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The attached drawing shows two identical systems of objects, each consists of the same three small balls connected by massless rods.   In both systems the axis is perpendicular to the page but it is located at different places as shown. The same magnitude of Force is applied to the same ball as indicated in the attached drawing.  The masses of the balls are m1 = 9.5 kg; m2 = 6.2 kg; m3 = 7.3 kg.  The magnitude of the force = 444N (a) For each of the two systems determine the moment of Inertia about the given axis of rotation (b) Calculate the torque, magnitude and direction, acting on each system (c) Both systems start from rest and the direction of the force moves with  the system and always points along the 4.00 meter rod.  What is the angular velocity of each system after 5.03 seconds

Understanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move. At what time does the dancer reach the lowest point of her motion, when her speed is zero?A. 0.20 sB. 0.40 sC. Between 0.40 s and 0.70 sD. After 0.70 s

An object weighing 255 N is supported by a uniform 120 N horizontal beam as shown in the figure. The length of the beam is 2.50 m and the distance (x) is 2.05 m. Find the tension in the guy wire that is connected to the wall if the angle 0 = 55°. N

Understanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move. What is the approximate net impulse on the dancer, from the moment she begins bending her knees to the instant she leaves the floor?A. 15 kg • m/s2         B. 30 kg • m/s2C. 60 kg • m/s2         D. 90 kg • m/s2