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Two people are carrying a uniform wooden board that is 3.00 m long and weighs 160 N. If one person applies an upward force equal to 60 N at one end, at what point does the other person lift? Begin with a free-body diagram of the board.

$$2.40 \mathrm{m}$$

Physics 101 Mechanics

Chapter 11

Equilibrium and Elasticity

Section 3

Solving Rigid-Body Equilibrium Problems

Kyle P.

April 26, 2020

NOT FOLLOWING PROCEDURES NO COORDINATE SYSTEM JUST WORKING IT TO GET MONEY

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Hope College

McMaster University

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So let's try all the free By the diagram of the board. We have a 60 noon force here We have the board up on the other side is F sub too. Andi, Recent research We need to find the distance of absent too. We know that this entire length here is 3.0 meters and we know that there's a weight directly in the middle center of mass of 160 Nunes. So we can say that the sum of forces in the white direction is of course, going to be equal to zero. So this would be equal Teo 60 Newtons minus the weight plus f sub too. So have some too is simply going to be equal to the weight. 160 Newton's minus 60 Nunes. So we know that force up to is going to be equal to 100. Nunes that's the minimum force we need in order to achieve translational equilibrium. So at this point, we can use this some of the torques so we can use Sigmund no is going to be equal to again. Zero. This is in rotational equilibrium. And then this would be equal to 160 Newtons times the distance from the 60 noon force. So this would be 1.5 meters and then this would be minus if some too or 100 Nunes Time's acts in order to find out how far away from the 16 you enforce the second forces acting and we find that acts is going to be equal to 1.5 times 1 60 divided by 100. And this is giving us 2.40 meters. So from 60 noon and so 2.4 meters from the 60 noon. And that is the location of the F sub to force. So essentially this well, this distance right here is 2.4 meters and then this distance, of course, would be 0.6. That is the end of the solution. Thank you for watching

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