Problem 3: A new art exhibit featuring mobile works is going up in the Holland, MI, area. One piece is shown in the figure. The 160-N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached to the center of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 8.5-N. Part (a) If one shoe is attached two-fifths of the way up the beam and another shoe is attached and three-fifths of the way up the beam, with 0. = 19.5° and O, = 31° as shown in the figure, what is the tension in the cable, in newtons? Numeric : A numeric value is expected and not an expression. T = Part (b) What is the x-component of the force, in newtons, that the pivot exerts on the bottom of the beam? Use the coordinate system specified in the figure. Numeric : A numeric value is expected and not an expression. Fpx =. Part (c) What is the y-component of the force, in newtons, that the hinge exerts on the bottom of the beam? Use the coordinate system specified in the figure. Numeric : A numeric value is expected and not an expression. Fps

Problem 3: A new art exhibit featuring mobile works is going up in the Holland, MI, area. One piece is shown in the figure. The 160-N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached to the center of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 8.5-N. Part (a) If one shoe is attached two-fifths of the way up the beam and another shoe is attached and three-fifths of the way up the beam, with 0. = 19.5° and O, = 31° as shown in the figure, what is the tension in the cable, in newtons? Numeric : A numeric value is expected and not an expression. T = Part (b) What is the x-component of the force, in newtons, that the pivot exerts on the bottom of the beam? Use the coordinate system specified in the figure. Numeric : A numeric value is expected and not an expression. Fpx =. Part (c) What is the y-component of the force, in newtons, that the hinge exerts on the bottom of the beam? Use the coordinate system specified in the figure. Numeric : A numeric value is expected and not an expression. Fps

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 38PQ: At a museum, a 1300-kg model aircraft is hung from a lightweight beam of length 12.0 m that is free...

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Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.
A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.
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
A horizontal plank 4.00 m long and having mass 20.0 kg rests on two pivots, one at the left end and a second 1.00 m from the right end. Find the magnitude of the force exerted on the plank by the second pivot. (See Section 8.4.)
A person carries a plank of wood 2.00 m long with one hand pushing down on it at one end with a force F1 and the other hand holding it up at .500 m from the end of the plank with force F2. If the plank has a mass of 20.0 kg and its center of gravity is at the middle of the plank, what are the magnitudes of the forces F1 and F2?
A 5.45-N beam of uniform density is 1.60 m long. The beam is supported at an angle of 35.0 by a cable attached to one end. There is a pin through the other end of the beam (Fig. P14.30). Use the values given in the figure to find the tension in the cable. FIGURE P14.30
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 One end of a metal rod of weight Fg and length L presses against a corner between a wall and the floor (Fig. P14.64). A rope is attached to the other end of the rod. Find the magnitude of the tension in the rope if the angle between the rod and the rope is 90.
Ruby, with mass 55.0 kg, is trying to reach a box on a high shelf by standing on her tiptoes. In this position, half her weight is supported by the normal force exerted by the floor on the toes of each foot as shown in Figure P14.75A. This situation can be modeled mechanically by representing the force on Rubys Achilles tendon with FA and the force on her tibia as FT as shown in Figure P14.75B. What is the value of the angle and the magnitudes of the forces FA and FT? FIGURE P14.75
A 215-kg robotic arm at an assembly plant is extended horizontally (Fig. P14.32). The massless support rope attached at point B makes an angle of 15.0 with the horizontal, and the center of mass of the arm is at point C. a. What is the tension in the support rope? b. What are the magnitude and direction of the force exerted by the hinge A on the robotic arm to keep the arm in the horizontal position? FIGURE P14.32
A person is standing on a section of uniform scaffolding as shown in the figure. The section of scaffolding is L = 1.50 m in length, has a ms = 24.5 kg mass and is supported by three ropes as shown. Determine the magnitude of the tension in each rope when a person with a weight of Wp = 640 N is a distance d = 0.700 m from the left end. magnitude of T1 N magnitude of T2 N magnitude of T3 N