The figure below shows a beam of uniform density with a mass of 33.0 kg and a lengthl = 4.45 m. It is suspended from a cord at a distance d = 1.20 m from its left end, while its right end is supported by a vertical column. (a) What is the tension (in N) in the cord? N (b) What is the magnitude of the force (in N) that the column exerts on the right end of the beam? N Need Help? Read It

The figure below shows a beam of uniform density with a mass of 33.0 kg and a lengthl = 4.45 m. It is suspended from a cord at a distance d = 1.20 m from its left end, while its right end is supported by a vertical column. (a) What is the tension (in N) in the cord? N (b) What is the magnitude of the force (in N) that the column exerts on the right end of the beam? N Need Help? Read It

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 64PQ: A One end of a metal rod of weight Fg and length L presses against a corner between a wall and the...

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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 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.
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 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 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
The figure below shows a beam of uniform density with a mass of 34.5 kg and a length ℓ = 5.20 m. It is suspended from a cable at a distance d = 1.20 m from its left end, while its right end is supported by a vertical column. (a) What is the tension (in N) in the cable? ____N (b) What is the magnitude of the force (in N) that the column exerts on the right end of the beam? ____N
In the figure below, a uniform beam of weight 420 N and length 2.8 m is suspended horizontally. On the left it is hinged to a wall; on the right is it supported by a cable bolted to the wall at distance D above the beam. The least tension that will snap the cable is 1200 N. Cable Beam (a) What value of D corresponds to that tension? (b) Give any value for D that won't snap the cable. m
The figure below shows a beam of uniform density with a mass of 35.5 kg and a length t5.95 m. It is suspended from a cable at a distance d 1.20 m from its left end, while its right end is supported by a vertical column. (a) What is the tension (in N) in the cable? (b) What is the magnitude of the force (in N) that the column exerts on the right end of the beam? Need Help? Read Page 20
Q10 In the figure, one end of a uniform beam of weight 310 N is hinged to a wall; the other end is supported by a wire that makes angles θ = 27° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam.
In the figure, a uniform beam of weight 410 N and length 3.4 m is suspended horizontally. On the left it is hinged to a wall; on the right it is supported by a cable bolted to the wall at distance D above the beam. The least tension that will snap the cable is 1000 N. What value of D corresponds to that tension? Cable Beam Number Units Use correct number of significant digits; the tolerance is +/-2%