At the ends of the lever, forces of 4N and 20N act. The length of the arm is 1.5 m. Where is the fulcrum if the arm is in balance?
January 12, 2021 | education
| Given:
F1 = 20 N.
F2 = 4 N.
l = 1.5 m.
According to the lever balance rule:
F1 / F2 = l2 / l1, F1 – force acting on the shoulder l1; F2 is the force acting on the arm l2, l1, l2 are the arms of the lever (l = l1 + l2).
F1 / F2 = l2 / l1 = 20/4 = 5.
The length of the l2 shoulder is 5 times longer than the l1 shoulder. Therefore: l2 = 5 * l1.
l = l2 + l1 = 5 * l1 + l1 = 6 * l1 = 1.5 m.
l1 = 1.5 / 6 = 0.25 m.
l2 = 5 * l1 = 5 * 0.25 = 1.25 m.
Answer: The fulcrum is 0.25 m from the end of the arm with a force of 20 N and at a distance of 1.25 m from the end with a force of 5 N.
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