A 1 450-N uniform boom at ? = 57.5° to the vertical is supported by a cable at an angle ? = 32.5° to the horizontal as shown in the figure below. The boom is pivoted at the bottom, and an object of weight m = 2 150 N hangs from its top. (a) Find the tension in the support cable. (b) Find the components of the reaction force exerted by the floor on the boom.

A 20.0-kg horizontal plank 4.00 in long rests on two supports, one at the left end and a second 1.00 m from the right end. What is the magnitude of the force exerted on the plank by the support near the right end? (a) 32.0 N (b) 45.2 N (c) 112 N (d) 131 N (e) 98.2 N

At a museum, a 1300-kg model aircraft is hung from a lightweight beam of length 12.0 m that is free to pivot about its base and is supported by a massless cable (Fig. P14.38). Ignore the mass of the beam. a. What is the tension in the section of the cable between the beam and the wall? b. What are the horizontal and vertical forces that the pivot exerts on the beam? FIGURE P14.38 (a) From the free-body diagram, the angle that the string tension makes with the beam is = 55.0 + 18.0 = 73.0, and the perpendicular component of the string tension is FT sin73.0. Summing torques around the base of the rod gives (Eq. 14.2): =0:(12.0m)(1300kg)(9.81m/s2)cos55.0+FT(12.0m)sin73.0=0FT=(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0FT=7.65103N Figure P14.38ANS (b) Using force balance (Eq. 14.1): Fx=0:FHFTcos18.0=0FH=FTcos18.0=[(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0]cos18.0=7.27103NFy=0:FVFTsin18.0(1300kg)(9.81m/s2)=0 FV=FTsin18.0+(1300kg)gFV=[(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0]sin18.0+(1300kg)(9.81m/s2)FV=1.51104N

A 1323-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1575-N crate hangs from the far end of the beam. Find the magnitude of the tension in the wire. The angle theta () is 25 degrees and the angle phi () is 59 degrees. The length of the beam is L.

A uniform, 8.0-m, 1500-kg beam is hinged to a wall and supported by a thin cable attached 2.0 m from the free end of the beam. The beam is supported at an angle of 30° above the horizontal. (a) find the tension in the cable and (b) how hard does the beam push inward on the wall?

The figure shows three boards clamped together. The center board weighs 93.5 N, and the coefficient of static friction between the boards is 0.490. What is the minimum magnitude of the horizontal compression forces (in N) acting on either side of the center board so it does not slip?

One end of a uniform rod of weight w = 73.5 N and length L = 2.55 m is supported by a cable at an angle of ? = 37.0°above the rod. The other end rests on a small frictionless support and presses into a wall as shown in the figure. Determine the magnitude n of the vertical normal force exerted by the support on the rod and find the magnitude T of the tension in the cable.

A uniform drawbridge must be held at a 38o angle above the horizontal to allow ships to pass underneath.  The drawbridge weights 55000 N and is 15.0 m long.  A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place. What is the tension in the cable? Find the magnitude and direction of the force the hinge exerts on the bridge. If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks? What is the angular speed of the drawbridge as it becomes horizontal? What is the velocity of the drawbridge, just before it “hits” (i.e. goes horizontal)?

A 1 150-N uniform boom at p = 69.5° to the vertical is supported by a cable at an angle 0 = 20.5° to the horizontal as shown in the figure below. The boom is pivoted at the bottom, and an object of weight m 1 975 N hangs from its top. m (a) Find the tension in the support cable. 1.64 X Your response differs from the correct answer by more than 10%. Double check your calculations. kN (b) Find the components of the reaction force exerted by the floor on the boom. horizontal component magnitude KN vertical component direction ---Select--- V magnitude direction ---Select--- V - KN

The uniform boom shown below weighs 644 N, and the object hanging from its right end weighs 416 N. The boom is supported by a light cable and by a hinge at the wall. 45° 20° 416 N Calculate the tension in the cable and the force by the hinge on the boom (both in N). (Enter the magnitudes.) tension in the cable 787.738 N force by the hinge 812.122 N