A beam resting on two pivots has a length of L = 6.00 m and mass M = 79.0 kg. The pivot under the left end exerts a normal force n, on the beam, and the second pivot placed a distance e = 4.00 m from the left end exerts a normal force n,. A woman of mass m = 59.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman. maximum size of 1 MB.) Choose File No file chosen meters to the right of the first pivot, which is the origin. (Submit a file with a This answer has not been graded yet. (b) Where is the woman when the normal force n, is the greatest? m (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n, when the beam is about to tip. (e) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip. X = m (f) Check the answer to part (e) by computing torques around the first pivot point. x = m
A beam resting on two pivots has a length of L = 6.00 m and mass M = 79.0 kg. The pivot under the left end exerts a normal force n, on the beam, and the second pivot placed a distance e = 4.00 m from the left end exerts a normal force n,. A woman of mass m = 59.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman. maximum size of 1 MB.) Choose File No file chosen meters to the right of the first pivot, which is the origin. (Submit a file with a This answer has not been graded yet. (b) Where is the woman when the normal force n, is the greatest? m (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n, when the beam is about to tip. (e) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip. X = m (f) Check the answer to part (e) by computing torques around the first pivot point. x = m
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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Transcribed Image Text:A beam resting on two pivots has a length of L = 6.00 m and mass M = 79.0 kg. The pivot under the left end exerts a normal force n, on the beam, and the second pivot placed a distance l = 4.00 m from the
left end exerts a normal force n,. A woman of mass m = 59.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam
begins to tip.
M
(a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a
maximum size of 1 MB.)
Choose File No file chosen
This answer has not been graded yet.
(b) Where is the woman when the normal force n, is the greatest?
X =
(c) What is n,
when the beam is about to tip?
N
(d) Use the force equation of equilibrium to find the value of n, when the beam is about to tip.
N
(e) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip.
X%3D
(f) Check the answer to part (e) by computing torques around the first pivot point.
m
Expert Solution
Step 1
Tipping Point:
The tipping point is a position in which an object is placed such that, even a small force will make it topple.
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