* The fulcrum of a uniform 20 -kg seesaw that is 4.0 m long is located 2.5 m from one end. A 30

step 1 We're told that the fulcrum of a uniform 20 kilogram seesaw that is 4 meters long is located 2 .

* The fulcrum of a uniform 20 -kg seesaw that is 4.0 m long...

$*$ The fulcrum of a uniform 20 -kg seesaw that is 4.0 $\mathrm{m}$ long is located 2.5 $\mathrm{m}$ from one end. A 30 -kg child sits on the long end. Determine the mass a person at the other end would
have to be in order to balance the seesaw.

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Key Concepts

Torque

Torque is the measure of the force that can cause an object to rotate about an axis. It is calculated by multiplying the force by the perpendicular distance from the axis of rotation. This concept is essential in understanding rotational effects in any system where forces are applied at different distances from a pivot.

Lever Arm

The lever arm refers to the perpendicular distance from the pivot point to the line of action of a force. It determines how much torque a force will generate, as a longer lever arm increases the rotational effect of the same force. This concept is key in analyzing balance and movement in lever systems.

Rotational Equilibrium

Rotational equilibrium occurs when the sum of all torques acting on a system is zero, meaning there is no net angular acceleration. This principle is fundamental in statics, ensuring that objects remain balanced when the clockwise and counterclockwise torques cancel each other out.

Center of Mass in Uniform Bodies

For uniform objects, the center of mass is located at the geometric center. This concept is important because the weight of a uniform object can be considered as acting at its center of mass, affecting how its weight contributes to the overall torque about any pivot point.

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