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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

images

To determine
The location of the center of gravity from the woman’s feet.

Explanation

The following figure shows the forces on the woman.

Given info: The scale reading are 380N and 320N respectively, weight of the woman is 700N , the force acts on her head is 380N , and the separation between the forces Fg1 and Fg2 is 2.00m .

Explanation: Assume that the weight of the plank was neglected and the condition for the equilibrium is used and it could be written as Fy=0=Fg1+Fg2W . Consider the point where the force Fg2 acts as a pivot point and the condition of static torque on her about the point is defined as τ=0=xWdFg1 .

The formula for the weight of the woman is,

W=Fg1+Fg2

  • Fg1 is the left scale reading.
  • Fg2 is the right scale reading.

Substitute 380N for Fg1 and 320N for Fg2 to find W

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