A uniform beam of length L and mass m shown in the figure below is inclined at an angle 0 to the horizontal. Its upper end is connected to a wa by a rope, and its lower end rests on a rough, horizontal surface. The coefficient of static friction between the beam and surface is u.. Assume the angle 0 is such that the static friction force is at its maximum value. (a) Draw a force diagram for the beam. (b) Using the condition of rotational equilibrium, find an expression for the tension T in the rope in terms of m, g, and 0. T = (c) Using the condition of translational equilibrium, find a second expression for T in terms of H, m, and g. T =

A uniform beam of length L and mass m shown in the figure below is inclined at an angle 0 to the horizontal. Its upper end is connected to a wa by a rope, and its lower end rests on a rough, horizontal surface. The coefficient of static friction between the beam and surface is u.. Assume the angle 0 is such that the static friction force is at its maximum value. (a) Draw a force diagram for the beam. (b) Using the condition of rotational equilibrium, find an expression for the tension T in the rope in terms of m, g, and 0. T = (c) Using the condition of translational equilibrium, find a second expression for T in terms of H, m, and g. T =

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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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

A uniform beam of length L and mass m shown in the figure below is inclined at an angle 0 to the horizontal. Its upper end is connected to a wal
by a rope, and its lower end rests on a rough, horizontal surface. The coefficient of static friction between the beam and surface is µ.. Assume
the angle 0 is such that the static friction force is at its maximum value.
(a) Draw a force diagram for the beam.
(b) Using the condition of rotational equilibrium, find an expression for the tension T in the rope in terms of m, g, and 0.
T =
(c) Using the condition of translational equilibrium, find a second expression for T in terms of u, m, and g.
T =

(c) Using the condition of translational equilibrium, find a second expression for T in terms of ue, m, and g.
T =
(d) Using the results from parts (a) through (c), obtain an expression for µ̟ involving only the angle 0.
Hs =
(e) What happens if the beam is lifted upward and its base is placed back on the ground slightly to the left of its position in the figure
above?
O The beam slips.
O The beam remains stationary.
Explain.

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