Question

If you doubled the applied force (instead of 2N, you made it 4N) but kept everything else the same, would the magnitude of torque exerted on that rod increase?

a. Yes, the torque would be greater
b. No, the torque would be smaller
c. No, the torque would remain the same
d. all of these

Answer 1

Doubling the applied force on a rod, while keeping all other factors constant, will result in the torque being doubled.

Step-by-step explanation:

If you doubled the applied force on a rod, the magnitude of torque exerted on that rod would indeed increase. Torque (τ) is given by the formula τ = r * F * sin(θ), where 'r' is the lever arm, 'F' is the force applied, and 'θ' is the angle between the force vector and the lever arm. Since only the force is being doubled and the lever arm and angle remain constant, the resulting torque will be doubled as well. Therefore, the correct answer is:
a. Yes, the torque would be greater.