Two cylinders S and T of unit length rest against smooth supports as shown in the figure. Each cylinder has a mass of 85 kg. Find the forces that the cylinders exert on the supports at A, B, and C. Here, X-54°. (Round the final answer to four decimal places.) The force exerted by the cylinders at A is The force exerted by the cylinders at Bis The force exerted by the cylinders at Cis N. N. N
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- Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded. The length of the vectors will not be graded. A uniform rod AB of length 7.8 m and mass M = 3.8 kg is hinged at A and held in equilibrium by a light cord. A load W = 22 N hangs from the rod at a distance d so that the tension in the cord is 88 N . No elements selected L. y ! 37° FT 53° mg A W = 22 N FAx FAY CordHow do the atoms of a solid move? A Atoms in a solid only shake back and forth in place. В Atoms in a solid move freely and quickly C. Atoms in a solid move the same as in a liquid. Atoms in a solid do not move.A 20.3kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole, as shown in the figure below. A cable at an angle of a = 26.4° with the beam helps to support the light. a Find the tension in the cable connecting the pole to the beam. Submit Answer Tries 0/10 Find the horizontal force exerted on the beam by the pole. Submit Answer Tries 0/10 Find the vertical force exerted on the beam by the pole. Submit Answer Tries 0/10
- A uniform curved beam with circular shape and weight W is supported by a frictionless bearing at A and a roller at B. Determine the support reactions. Express your answers in terms of parameters such as W and R.The 500-kg cylinder shown is supported by the set-up shown. Neglecting the weight of the bar, determine the tension in the cable BC. Assume all contact surfaces to be smooth. Express your answers in NewtonsPHYSICS IS FUN! W Hanging Sign A sign has a mass of 1050 kg, a height h = 1 m, and a width W = 4 m. It is held by a light rod of length 5 m that is perpendicular to a rough wall. A guy wire at 23° to the horizontal holds the sign to the wall. Note that the distance from the left edge of the sign to the wall is 1 m. Suppose we rely upon friction between the wall and the rod to hold up the sign (there is no hinge attaching the rod to the wall). What is the smallest value of the coefficient of friction u such that the sign will remain in place?
- Repeat the preceding problem replacing the marble with a solid cylinder. Explain the new result.A tower crane (Figure 1) must always be carefully balanced so that there is no net torque tending to tip it. A particular crane at a building site is about to lift a m = 2500-kg air-conditioning unit. The crane's dimensions are shown in (Figure 2). The crane's counterweight has a mass of M = 8400 kg . Ignore the mass of the beam. Part A Where must the crane's counterweight be placed when the load is lifted from the ground? (The counterweight is usually moved automatically via sensors and motors to precisely compensate for the load.) Part B Determine the maximum load that can be lifted with this counterweight when it is placed at its full extent.In the following picture two pistons are shown with different radii. If the smaller radius were 3.80 cm and the larger radius 8.90 cm, how much mass could the red triangle have if it were balance by the purple block having a mass of m =3.30 kg?
- A rectangular cantilever beam AB has point A positioned at the origin of the coordinate system and point B at coordinates (1.2, -0.3, 2.4) m. The vector r₁ = (1î + 12ĵ + 1ê) m is oriented parallel to the thin cross-sectional dimension, and is perpendicular to to FAB (directed along the beam axis AB). Z P a Verify that r₁ is perpendicular to TAB 2 TAB X b Determine the unit vector 2 that is perpendicular to both r₁ and rab and has the orientation shown in the figure. c Assuming that the force P applied to point B of the beam has 1000 N magnitude and direction angles x 144°, 0y = 72°, and 0₂ = 60°; Determine the components of the 1000 N force, namely PAB, P₁, and P2, in the directions AB, 7₁, and 2, respectively. = =The uniform rod in figure shown weighs 420 kN and has its center of gravity at G. Determine the tension in the cable and the reactions at A and B. 420 TRA Cable r NThe rigid bar ABCD is suspended from four identical structural members as shown in the figure. Determine the tension (in N, correct up to two decimal places) in the wire at C caused by the load P = 157.8 N.