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Physics / College Physics 1 / Chapter 9 / Problem 9

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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A person carries a plank of wood 2 m long with one hand

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QUESTION:

Problem 9PE

A person carries a plank of wood 2 m long with one hand pushing down on it at one end with a force F1 and the other hand holding it up at 50 cm from the end of the plank with force F2 . If the plank has a mass of 20 kg and its center of gravity is at the middle of the plank, what are the magnitudes of the forces F1 and F2 ?

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QUESTION:

Problem 9PE

A person carries a plank of wood 2 m long with one hand pushing down on it at one end with a force F1 and the other hand holding it up at 50 cm from the end of the plank with force F2 . If the plank has a mass of 20 kg and its center of gravity is at the middle of the plank, what are the magnitudes of the forces F1 and F2 ?

ANSWER:

Step 1 of 4:

A person holds a plank of wood and applies two different forces on it. One is in the downward direction at the right-hand side and on the left-hand side, he applies an upward force. Therefore the long plank of wood is balanced. The center of gravity is in the middle of the plank and the weight of the plank pointed through it. We are going to find the magnitudes of the forces.

The force F1 acts at A and the force F2 acts at the point O. The center of gravity is in the middle of the plank G.

The length of the plank $cap l \ equals \ 2.0 \ m$

The position of center of gravity from the right edge $r sub c g \ equals \ 1.0 \ m$

The distance between the point O and A $cap A cap o \ equals 0.50 \ m$

The distance between the point O and G $cap o cap g \ equals \ 0.50 \ m$

The mass of the plank $m \ equals \ 20.0 \ kg$

The acceleration due to gravity $g \ equals \ 9.8 \ m times s super minus 2$

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