H60°Figure 6GM8. A uniform rod HG of length 2L m and mass m = 2 kg is hinged at end H, as shown in Figure 6A mass Mg=100 N is hung at the other end G. A horizontal cable at the midpoint of the rodholds it at an angle of 60° to the horizontal. The cable is under a constant tension T.(a) Draw a diagram showing all the forces acting on the rod and determine the tension T inthe cable.(b) Calculate both the x and y components (Fr and F₁) of the force F at the hinge H.(c) Will the net force F at H act along the rod HG? Justify your answer.

Answered: Image /qna-images/answer/ec14169d-7a06-4509-9292-2554765b4cbd.jpg

Answered: H 60° Figure 6 G M 8. A uniform rod HG…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 32P

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A uniform horizontal strut weighs 400.0 N. One end of the strut is attached to a hinged support the wall and the other end of the strut is attached to a sign that weighs 200.0 N The strut is also supported by a cable attached between the end of the strut and the wall. Assuming that the entire weight of the sign is attached at the very end of the s find the tension in the cable and the force at the hinge of the strut.
Find the magnitude of the tension in each supporting cable shown below. In each case, the weight of the suspended body is 100.0 N and the masses of the cables are negligible.
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 safe mass M = 430kg hangs by a rope from a boom has a mass m = 85kg. Find the tension T, in the cable and the magnitude of the net force exerted on the beam by the hinge. Cable Rope (a) Hinge Beam com
A 1260 N uniform beam is attached to a vertical wall at one end and supported by a cable on th other end. A 1960 N crate hangs from the far end of the beam. Using the info on the diagram find the following: a) Magnitude of the tensiossnj on the cable b) the horizontal components of the varce that the wallexerts on the beam c) the vertical components of the force that the wall exerts on th eleft end of the bean
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)?
OT SHARE 1. A mass m, is suspended from two cables fixed at point B. The cables are fixed to a rigid support at A and C. If the tension in cable AB is not to exceed 120 N, find the maximum mass, m, that can be suspended. A 30 45' 40°
A horizontal 12.5 kg beam 2.2 m long is attached to the wall by a hinge at its left end. A cable is connected from the right end of the beam to the wall, at an angle of 26 ° above the beam, as shown below. A 60 kg sign is hung 1.7 m from the left end of the beam. Part A Find the tension in the cable. Part B Find the horizontal force exerted on the wall by the hinge. Part C Find the vertical force exerted on the wall by the hinge
A large advertisement board (W) is held in position by cable F1 , with a breaking strength of 1500 N and a wooden strut F2 with a breaking strength of 750 N. Calculate the maximum weight on the board can hold.
A large advertisement board (W) is held in position by cable F1, with a breaking strength of 1500 N and a wooden strut F2 with a breaking of 750 N. Calculate the maximum weight the board can hold.
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 force by the hinge N Does the force by the hinge act along the boom? (Assume this force acts along the boom if its direction in degrees above the horizontal is within 2% of the boom's angle above the horizontal.) O Yes O No
A. Find the tension in the cable B. Find the horizontal component of the force exertedC. Find the vertical component of the force exerted on the beam at the wall

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