You open a restaurant and hope to entice customers by hang- ing out a sign (Fig. 11.37). The uniform horizontal beam support- ing the sign is 1.50 m long, has a mass of 18.0 kg, and is hinged to the wall. The sign itself is uniform with a mass of 28.0 kg and over- all length of 1.20 m. The two wires supporting the sign are cach 32.0 cm long, are 90.0 cm apart, and are equally spaced from the middle of the sign. The cable supporting the beam is 2.00 m long. (a) What minimum tension must your cable be able to support without having your sign come crashing down? (b) What minimum vertical force must the hinge be able to support without pulling out of the wall? 1 Cable

You open a restaurant and hope to entice customers by hang- ing out a sign (Fig. 11.37). The uniform horizontal beam support- ing the sign is 1.50 m long, has a mass of 18.0 kg, and is hinged to the wall. The sign itself is uniform with a mass of 28.0 kg and over- all length of 1.20 m. The two wires supporting the sign are cach 32.0 cm long, are 90.0 cm apart, and are equally spaced from the middle of the sign. The cable supporting the beam is 2.00 m long. (a) What minimum tension must your cable be able to support without having your sign come crashing down? (b) What minimum vertical force must the hinge be able to support without pulling out of the wall? 1 Cable

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 31PQ: 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...

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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 sign is supported by a uniform horizontal boom of length 3.10 m and weight 72.0 N. A cable, inclined at an angle of 16 °with the boom, is attached at a distance of 2.71 m from the hinge at the wall. The weight of the sign is 108.0 N. What is the tension in the cable and what are the horizontal and vertical forces Fx and Fy exerted on the boom by the hinge? Comment on the magnitude of Fy. T= In N Fx= in N Fy= in N The magnitude of Fy is select (small or large) compared to that of Fx and T.
A uniform horizontal beam with a length of ℓ = 8.00 m and a weight of Wb =200 N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of φ = 53.0° with the beam (as shown). A person of weight Wp = 600 N stands a distance d = 2.00 m from the wall. Find the tension in the cable as well as the magnitude and direction of the force exerted by the wall on the beam.
A uniform beam of mass m = 140.0 kg and length L = 2.40 m is supported by two columns at each end. The beam supports a heavy block of mass M = 220.0 kg, whose center of gravity is at a distance d = 0.720 cm from the left end of the beam. Find the forces exerted by the columns on the beam.
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 beam of length L = 11.7 meters and mass of 109.3 kg is pinned at one end and is being supported by a wire as shown. The wire is connected to the beam x = 3.3 meters from the pin. A person of mass 81.6 kg is standing all the way out on the edge of the beam. If θ = 17.3 degrees and φ = 79.4 degrees, what is the tension in the wire?
A 500.-N uniform rectangular sign 4.00 mwide and 3.00 m high is suspended from ahorizontal, 6.00-m-long, uniform, 100.-N rodas indicated in Figure P8.25. The left end ofthe rod is supported by a hinge, and the rightend is supported by a thin cable making a30.0° angle with the vertical. (a) Find the tensionT in the cable. (b) Find the horizontaland vertical components of force exerted onthe left end of the rod by the hinge.
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.
A uniform ladder of mass (m= 13.5 kg) and length (L) leans against a frictionless wall. If the angle ©60.0°, find the static friction force between the ladder and the floor when a 60.0-kg person stands two-third of the wayup the ladder?
a uniform beam of length 12.0 m is supported by a horizontal cable and a hinge at angle u =50.0°. The tension in the cable is 400 N. In unit-vector notation, what are (a) the gravitational force on the beam and (b) the force on the beam from the hinge?
The system in the Figure is in equilibrium. A mass M1 = 203.0 kg hangs from the end of a uniform strut which is held at an angle theta = 47.0o with respect to the horizontal. The cable supporting the strut is at angle alpha = 30.0o with respect to the horizontal. The strut has a mass of 59.4 kg. Find the magnitude of the tension T in the cable. Find the magnitude of the horizontal component of the force exerted on the strut by the hinge? Find the magnitude of the vertical component of the force exerted on the strut by the hinge?
A 45.1 kg man is walking on a 147 kg uniform beam that is attached 19.0 m below the top of a building and is 21.2 m long. If a wire is attached to both the top of the building and end of the beam, and is able to handle 1.52E3 N of tension, how close to the end can the man walk before the wire breaks?