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Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 185 N at a distance of 0.700 m from the hinges, and the second pushes at a distance of 0.450 m. What force must the second exert to keep the door from moving? Assume friction is negligible.  Simplufy - ...............................N

Question

Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 185 N at a distance of 0.700 m from the hinges, and the second pushes at a distance of 0.450 m. What force must the second exert to keep the door from moving? Assume friction is negligible.

 

 

Simplufy - ...............................N

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Step 1

Since, the door is held at rest this signifies that the torque exerted by the first child balances the torque exerted by the second child, at the door about the hinge point.

Step 2

Due to the absence of net torque, torque by child 1 is equal to torque by child 2.

2
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2

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Step 3

Here, F1 and F2 denotes the force exerted by first child and second child respectively and, d1 and d2 are the di...

Fd Fd
(1)
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Fd Fd (1)

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