A force of 80n acts on the long shoulder of 32cm. What is the force acting on a short shoulder 4cm long.
| June 22, 2021 | education
Ld = 32 cm = 0.32 m.
Fd = 80 N.
Lm = 4 cm = 0.04 m.
Fm -?
The condition for the balance of the lever is the equality of the moments of forces that act from different sides of the lever: Md = Mm.
The moment of force M is the product of the force F, which acts, by the distance from the point of application of the force to the axis of rotation, that is, on the shoulder L: M = F * L.
MD = Fd * Ld,
Mm = Fm * Lm.
Fd * Ld = Fm * Lm.
The force that acts on the small shoulder will be determined by the formula: Fm = Fd * Ld / Lm.
Fm = 80 N * 0.32 m / 0.04 m = 640 N.
Answer: force Fm = 640 N. acts on the small shoulder.
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