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A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the origin, and the second pivot is at a distance { from the left end. A woman of mass m starts at the left end and walks toward the right end as in the figure below. (a) When the beam is on the verge of tipping, find symbolic expression for the normal force exerted by the second pivot in terms of M, m, and g. n2 = (b) When the beam is on the verge of tipping, find symbolic expression for the woman's position in terms of M, m, L, and l. X = (c) Find the minimum value of { that will allow the woman to reach the end of the beam without it tipping. (Use any variable or symbol stated above as necessary.) lmin =

A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the origin, and the second pivot is at a distance { from the left end. A woman of mass m starts at the left end and walks toward the right end as in the figure below. (a) When the beam is on the verge of tipping, find symbolic expression for the normal force exerted by the second pivot in terms of M, m, and g. n2 = (b) When the beam is on the verge of tipping, find symbolic expression for the woman's position in terms of M, m, L, and l. X = (c) Find the minimum value of { that will allow the woman to reach the end of the beam without it tipping. (Use any variable or symbol stated above as necessary.) lmin =

College Physics
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 beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the origin, and the second pivot is at a distance { from the left end. A woman of mass m starts at the left end and walks toward the right end as in the figure below. (a) When the beam is on the verge of tipping, find symbolic expression for the normal force exerted by the second pivot in terms of M, m, and g. n2 = (b) When the beam is on the verge of tipping, find symbolic expression for the woman's position in terms of M, m, L, and {. X = (c) Find the minimum value of { that will allow the woman to reach the end of the beam without it tipping. (Use any variable or symbol stated above as necessary.) lmin
Transcribed Image Text:A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the origin, and the second pivot is at a distance { from the left end. A woman of mass m starts at the left end and walks toward the right end as in the figure below. (a) When the beam is on the verge of tipping, find symbolic expression for the normal force exerted by the second pivot in terms of M, m, and g. n2 = (b) When the beam is on the verge of tipping, find symbolic expression for the woman's position in terms of M, m, L, and {. X = (c) Find the minimum value of { that will allow the woman to reach the end of the beam without it tipping. (Use any variable or symbol stated above as necessary.) lmin
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