Question

STT 8 An old fashioned tire swing exerts a force on the branch and a torque about the point where the branch meets the trunk. If you hang the swing closer to the trunk, this will _____ the force and ____ the torque. A increase, increase

B not chance, increase
C not change, not change
D not change, decrease
E decrease, not change
F decrease, decrease

Answer 1

When the tire swing is hung closer to the trunk, the force exerted on the branch does not change, but the torque decreases.

Step-by-step explanation:

When you hang the tire swing closer to the trunk, the force exerted on the branch does not change, but the torque decreases.

The force exerted on the branch is determined by the weight of the swing. As the distance between the swing and the trunk decreases, the lever arm (the distance between the pivot point and the point where the force is applied) also decreases. Since torque is the product of force and lever arm, a decrease in the lever arm results in a decrease in torque.

To illustrate, imagine holding a book with an outstretched arm. The weight of the book exerts a force on your arm, and the distance from your shoulder to the book serves as the lever arm. If you bring the book closer to your shoulder, the force remains the same, but the lever arm decreases, resulting in a decrease in torque.