Question

Equilibrium equation f1d1=f2d2

Find f1
D1=12ft
F2=200lb
D2=33ft
a. f1 = (F2 * D2) / D1
b. f1 = (D1 * F2) / D2
c. f1 = (F2 * D1) / D2
d. f1 = (D2 * F2) / D1

Answer 1

The correct formula to find f1 given the equilibrium equation 'f1d1 = f2d2' and the values for F2, D1, and D2 is 'f1 = (F2 * D2) / D1'.

Step-by-step explanation:

The equilibrium equation you're referring to is a principle of moments which states that for a system to be in equilibrium, the clockwise moments must equal the anticlockwise moments around a pivot point. This can be represented by the formula f1 * d1 = f2 * d2, where 'f' stands for force and 'd' represents distance from the pivot point. Given D1=12ft, F2=200lb, and D2=33ft, we are looking to solve for f1, the force at d1.

Using the given equation, we can isolate f1 to find the correct formula: f1 = (F2 * D2) / D1. Therefore, the correct answer is:

• a. f1 = (F2 * D2) / D1