Two students attempt to tighten the same bolt using identical wrenches that each have…
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
Two students attempt to tighten the same bolt using identical wrenches that each have a handle length of 0.25m.
• Student A pulls with a 50N force directed perpendicular to the handle.
• Student B pulls with the same 50N force but at an angle of 30∘ above the handle (measured between the line of the handle and the force vector).
Assume both students apply their forces at the very end of the handle and that the pivot is at the bolt’s center.
(a) Identify which student produces the larger magnitude torque about the bolt and briefly state your reasoning without using equations.
(b) Calculate the magnitude of the torque produced by each student. Express your answers in N⋅m to two significant figures.
(c) Using the concept of the lever arm, explain why the angle at which the force is applied affects the torque, even when the force magnitude and point of application are the same.