A lamp of mass mL = 23.0 kg hangs at the end of a rod of mass mR = 12.0 kg and length L = 1.60 m. The left end of the rod is attached to a hinged bracket fixed in a wall. A cable, also anchored to the wall, is connected to the rod at a point a distance d = 1.10 m from the wall. The cable makes an angle ? = 52.0o, as defined in the drawing, with the rod. Begin by drawing an extended free body diagram for the bar. Remember that since you do not know the magnitude or angle of the force on the hinge, you should draw the x and y components of this force separately. Also, you will assume that the rod is "uniform" and that you may think of its mass as being concentrated at the middle of the rod. Retain at least four significant figures in all calculated results that will be used in further calculations. Round only the submitted answers to three significant figures. Calculate the tension in the cable. HINT: It is easiest to use the hinge as the rotational axis when you apply the condition of rotational equilibrium. Calculate the horizontal component of the support force applied by the wall (hinge) to the bar. HINT: The easiest method here is to look at the condition of static equilibrium by considering the sum of the forces in the x-direction. Calculate the vertical component of the support force applied by the wall (hinge) to the bar. HINT: The easiest method here is to look at the condition of static equilibrium by considering the sum of the forces in the y-direction, where up is positive y

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A lamp of mass m_L = 23.0 kg hangs at the end of a rod of mass m_R = 12.0 kg and length L = 1.60 m. The left end of the rod is attached to a hinged bracket fixed in a wall. A cable, also anchored to the wall, is connected to the rod at a point a distance d = 1.10 m from the wall. The cable makes an angle ? = 52.0^o, as defined in the drawing, with the rod.

Begin by drawing an extended free body diagram for the bar.

Remember that since you do not know the magnitude or angle of the force on the hinge, you should draw the x and y components of this force separately. Also, you will assume that the rod is "uniform" and that you may think of its mass as being concentrated at the middle of the rod.

Retain at least four significant figures in all calculated results that will be used in further calculations. Round only the submitted answers to three significant figures.

Calculate the tension in the cable. HINT: It is easiest to use the hinge as the rotational axis when you apply the condition of rotational equilibrium.

Calculate the horizontal component of the support force applied by the wall (hinge) to the bar. HINT: The easiest method here is to look at the condition of static equilibrium by considering the sum of the forces in the x-direction.

Calculate the vertical component of the support force applied by the wall (hinge) to the bar. HINT: The easiest method here is to look at the condition of static equilibrium by considering the sum of the forces in the y-direction, where up is positive y.

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