In the figure, a nonuniform bar is suspended at rest in a horizontal position by two massless cords as shown in the figure here. One cord makes the angle e = 29.5° with the vertical; the other makes the angle p = 60.5° with the vertical. If the length L of the bar is 6.8 m, compute the distance x from the left end of the bar to its center of mass. com

When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure a. The total gravitational force on the body, F, is supported by the force g' n exerted by the floor on the toes of one foot. A mechanical 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 = 780 N. (For 0, enter the smaller of the two possible values between 0° and 90°.) -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm b T = R =

Forces F₁, F₂, and F 2 3 act on the structure shown below, at an overhead view. We wish to put the structure in equilibrium by applying a fourth force, at a point such as P. The fourth force has vector components an We are given that a = 2.9 m, b = 3.4 m, c = 1.3 m, F₁ = 21 N, and F F2= 12 N, and F3 = 6.4 N. (a) Find F 47 F (b) Find F. (c) Find d. N N E a V

In the figure, a horizontal scaffold, of length 2.26 m and uniform mass 59.9 kg, is suspended from a building by two cables. The scaffold has dozens of paint cans stacked on it at various points. The total mass of the paint cans in 79.9 kg. The tension in the cable at the right is 739 N. How far horizontally from that cable is the center of mass of the system of paint cans? Number i Units m