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 = 20.5° with the vertical; the other makes the angle p = 69.5° with the vertical. If the length L of the bar is 5.1 m, compute the distance x from the left end of the bar to its center of mass. -1 com X = i

A 170-kg horizontal beam is supported at the ends A and B. A 380-kg piano rests a quarter of the way from the end A. Determine the magnitude of the vertical force on the support at A. Express your answer to two significant figures and include the appropriate units. FA = Submit Part B μA Value Request Answer Units ? Determine the magnitude of the vertical force on the support at B. Express your answer to two significant figures and include the appropriate units.

The thin ring can be adjusted vertically between three equally long cables from which the 300 kg chandelier is suspended. (Figure 1) Part A Draw a free-body diagram of the point at A. Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The length of the vectors will not be graded. Figure 0.5 m D 120 120 120 1 of 1 +Σ 0 No elements selected De Select the elements from the list and add them to the canvas setting the appropriate attributes. Submit Request Answer i ?

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).

9. The system shown in the following figure is in static equilibrium and the angle θ = 27.0°. Given that the mass m1 is 8.10 kg and the coefficient of static friction between mass m1 and the surface on which it rests is 0.33, what is the minimum mass that m2 can have for which the system will still remain in equilibrium?

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

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A monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an angle with the horizontal of 40.0 degrees (see figure). The monkey is not moving and the vines are considered massless and not stretchable. Determine the magnitude of the tension in each vine. d. Now the monkey moves up by clinging up the two vines, causing their angle with the horizontal to become smaller. If each vine breaks at a tension larger than T = 100 N, what is the smallest angel the vines can have with the horizontal?

Shown in the figure below is a system of two blocks. One of these blocks is resting on a surface tilted left and the other one is on a surface tilted right. The strings and the pulley have no mass. There is no friction anywhere in the problem.The characteristics of the system are given here: m1 = 4.14 kg m2 = 6.69 kg ?1 = 23.0 ?2 = 57.7 Answer all the following:What is the normal force, N1, on mass m1?  What is the normal force, N2, on mass m2?  What is the acceleration, a of the system?  What is the tension, T?

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