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 =

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 74P: A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A...

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