A 21.0-kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole as shown in the figure below. A cable at an angle of ? = 31.0° with the beam helps support the light. A floodlight is at the right end of a horizontal beam that is attached to a vertical pole on the left. A cable connects the right end of the beam to the pole and creates an acute angle ? above the horizontal. (a) Draw a force diagram for the beam. (b) By computing torques about an axis at the hinge at the left-hand end of the beam, find the tension in the cable. N (c) Find the horizontal component of the force exerted by the pole on the beam. magnitude: Direction (d) Find the vertical component of this force. magnitude: Direction Now solve the same problem from the force diagram from part (a) by computing torques around the junction between the cable and the beam at the right-hand end of the beam. (e) Find the vertical component of the force exerted by the pole on the beam. magnitude: Direction (f) Find the tension in the cable. N (g) Find the horizontal component of the force exerted by the pole on the beam. magnitude: Direction (h) Compare the solution to parts (b) through (d) with the solution to parts (e) through (g). Is either solution more accurate? Both solutions are equally accurate. Solution using torque about hinge is less accurate. Solution using torque about hinge is more accurate.

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter34: The Nature Of Light And The Principles Of Ray Optics

Section: Chapter Questions

Problem 53CP

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A 21.0-kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole as shown in the figure below. A cable at an angle of ? = 31.0° with the beam helps support the light.

A floodlight is at the right end of a horizontal beam that is attached to a vertical pole on the left. A cable connects the right end of the beam to the pole and creates an acute angle ? above the horizontal.

(a) Draw a force diagram for the beam.

(b) By computing torques about an axis at the hinge at the left-hand end of the beam, find the tension in the cable.
N

(c) Find the horizontal component of the force exerted by the pole on the beam.

magnitude:

Direction

(d) Find the vertical component of this force.

magnitude:

Direction

Now solve the same problem from the force diagram from part (a) by computing torques around the junction between the cable and the beam at the right-hand end of the beam.

(e) Find the vertical component of the force exerted by the pole on the beam.
magnitude:

Direction
(f) Find the tension in the cable.
N

(g) Find the horizontal component of the force exerted by the pole on the beam.

magnitude:

Direction

(h) Compare the solution to parts (b) through (d) with the solution to parts (e) through (g). Is either solution more accurate?

Both solutions are equally accurate.

Solution using torque about hinge is less accurate.

Solution using torque about hinge is more accurate.

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