Ask Question
18 February, 13:54

A person carries a plank of wood 2.00 m long with one hand pushing down on it at one end with a force f1 and the other hand holding it up at. 500 m from the end of the plank with force f2. if the plank has a mass of 20.0 kg and its center of gravity is at the middle of the plank, what are the magnitudes of the forces f1 and f2?

+2
Answers (1)
  1. 18 February, 14:03
    0
    F₁ = 4,120.2 N

    F₂ = 3,924N

    Explanation:

    1) Balance of angular momentum around the end where F₁ is applied.

    F₂ * 0.5m - F₁ * 0 = mass * g * 1m

    ⇒ F2 * 0.5 m = 20 kg * 9.81 m/s² * 1 m = 1,962 N*m

    F₂ = 196.2 Nm / 0.5m = 3,924 N

    2) Balance of forces

    F₁ - F₂ = mg

    F₁ = F₂ + mg = 3,924N + 20kg (9.81 m/s²) = 4,120.2 N
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A person carries a plank of wood 2.00 m long with one hand pushing down on it at one end with a force f1 and the other hand holding it up ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers