62. I A 120-cm-wide sign hangs from a5.0 kg. 200-cm-long pole. A cable ofnegligible mass supports the end of therod as shown in FIGURE P12.62. Whatis the maximum mass of the sign if themaximum tension in the cable withoutCable250 cmbreaking is 300 N?200 cmPRISICSSHOPPE80 cmFIGURE P12.623/3

The angle between the cable and the sign is,

Answered: 62. I A 120-cm-wide sign hangs from a…

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 37PQ

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A massless, horizontal beam of length L and a massless rope support a sign of mass m (Fig. P14.78). a. What is the tension in the rope? b. In terms of m, g, d, L, and , what are the components of the force exerted by the beam on the wall? FIGURE P14.78
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
Children playing pirates have suspended a uniform wooden plank with mass 15.0 kg and length 2.50 m as shown in Figure P14.27. What is the tension in each of the three ropes when Sophia, with a mass of 23.0 kg, is made to walk the plank and is 1.50 m from reaching the end of the plank? FIGURE P14.27
Torque and the Two Conditions for Equilibrium 17. The arm in Figure P8.17 weighs 41.5 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force Ft, in the deltoid muscle and the force Fs exerted by the shoulder on the humerus (upper-arm bone) to hold the arm in the position shown. Figure P8.17
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 8-m uniform beam of weight 120 N is supported by two ropes at the ends. If a 500-N person sits at 3.0 m from the left end of the beam, (a) what is the tension in the right rope? (b) What is the tension in the left rope?
Shown is a lightweight plank supported at its right end by a 7.0-mm-diameter rope with a tensile strength of 6.0 x 107 N/m2.a. What is the maximum force that the rope can support?b. What is the greatest distance, measured from the pivot, that the center of gravity of an 800 kg piece of heavy machinery can be placed without snapping the rope?
A 10.2 kg box (Weight = Fg= 100 N) is at one end of a massless board (1.5 m from the fulcrum). a. How much mass (m) do you have to have at the other end (1.5 m from the fulcrum) to get it to balance? b. How much weight (Fg )? c. How hard do you have to push to begin to lift the box?
Two people carry a heavy electric motor by placing it on a light board 2.10 m long. One person lifts at one end with a force of 410 N , and the other lifts the opposite end with a force of 670 N a) What is the weight of the motor? b) Where along the board is its center of gravity located? c) Suppose the board is not light but weighs 200 N , with its center of gravity at its center, and the two people each exert the same forces as before. What is the weight of the motor in this case? d) Where is its center of gravity located?
1. A museum of modern art is displaying an irregular 426-N sculpture by hanging it from two thin vertical wires, A and B, that are 1.25 m apart. The center of gravity of this piece of art is 48.0 cm from its extremeright tip. Find the tension in each wire. Give also the FBD. Show your complete solution.
A uniform rod of mass 500. g is used as a balance. We want to balance a 2.00-kg weight on the left end by a 750.g weight on the right end. (a) How far from the left end should the fulcrum be placed if the rod is 1.00 m long? (b) What is the normal force of the fulcrum on the rod?
A uniform beam is 5.00 m long and has a mass of 53.0 kg. The beam is supported in a horizontal position by a hinge and a cable, with angle ? = 115°.(a) Draw all the forces acting on the beam.(b) What Newton’s Law will you use to solve this problem?(c) What is the tension ?? on the cable?(d) What are the magnitude of the vertical and horizontalforces acting on the hinge ???(e) What is the magnitude and direction of the torque ??exerted by the tension on the cable?

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