Question

find the force b required to balance this lever:
a=20 pounds
b=____pounds
a=12 inches
b=24 inches

Explanation:

Step1: Recall Lever Balance Formula

For a lever to balance, the product of the force and its distance from the fulcrum must be equal on both sides. So, \( A \times a = B \times b \).

Step2: Substitute Known Values

We know \( A = 20 \) pounds, \( a = 12 \) inches, and \( b = 24 \) inches. Substitute these into the formula: \( 20 \times 12 = B \times 24 \).

Step3: Solve for B

First, calculate the left - hand side: \( 20\times12 = 240 \). Then, we have the equation \( 240 = 24B \). Divide both sides by 24: \( B=\frac{240}{24}=10 \).

Answer:

10