Advanced Newton's LawsHardQuestion 5437
Question
A block of mass m pressed against wall by force F at angle θ to wall. Minimum F to prevent sliding (friction μ):
- Amg/μ
- Bmg/(μcosθ + sinθ)Correct
- Cmg/sinθ
- Dmg/(μsinθ + cosθ)
Correct answer
mg/(μcosθ + sinθ)
Explanation
Normal force N = Fcosθ. Friction = μFcosθ. Equilibrium: Fsinθ + μFcosθ = mg → F = mg/(sinθ + μcosθ).