A hungry bear weighing 735 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see the figure below). The beam is uniform, weighs 200 N, and is 5.00 m long, and it is supported by a wire at an angle of θ = 60.0°. The basket weighs 80.0 N. A horizontal plank is attached at the left end to a vertical wall. A rod with a pulley at the right end extends a distance x horizontally to the right from the wall above the plank. A cable connected to the wall just above the rod goes around the pulley then down and right to the end of the plank, making an acute angle θ with the plank. A basket of goodies hangs down from the right end of the plank and a bear stands on the plank below the rod a distance x from the wall. (a) Draw a force diagram for the beam. (Submit a file with a maximum size of 1 MB.) This answer has not been graded yet. (b) When the bear is at x = 1.16 m, find the tension in the wire supporting the beam. N When the bear is at x = 1.16 m, find the components of the force exerted by the wall on the left end of the beam. (Assume the positive +x direction is to the right and the positive +y direction is upward. Include the sign of the value in your answer.) Fx = N Fy = N (c) If the wire can withstand a maximum tension of 825 N, what is the maximum distance the bear can walk before the wire breaks? m

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 28P: A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under...

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A hungry bear weighing 735 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see the figure below). The beam is uniform, weighs 200 N, and is 5.00 m long, and it is supported by a wire at an angle of θ = 60.0°. The basket weighs 80.0 N.

A horizontal plank is attached at the left end to a vertical wall. A rod with a pulley at the right end extends a distance x horizontally to the right from the wall above the plank. A cable connected to the wall just above the rod goes around the pulley then down and right to the end of the plank, making an acute angle θ with the plank. A basket of goodies hangs down from the right end of the plank and a bear stands on the plank below the rod a distance x from the wall.

(a) Draw a force diagram for the beam. (Submit a file with a maximum size of 1 MB.)

This answer has not been graded yet.

(b) When the bear is at

x = 1.16 m,

find the tension in the wire supporting the beam.
N

When the bear is at

x = 1.16 m,

find the components of the force exerted by the wall on the left end of the beam. (Assume the positive +x direction is to the right and the positive +y direction is upward. Include the sign of the value in your answer.)

F_x	= N
F_y	= N

(c) If the wire can withstand a maximum tension of 825 N, what is the maximum distance the bear can walk before the wire breaks?
m

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