A block of mass is placed at rest on a horizontal rough surface with angle of friction

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A block of mass mm is placed at rest on a horizontal rough surface with angle of friction ϕ\phi. The block is pulled with a force FF at an angle θ\theta with the horizontal. The minimum value of FF required to move the block is (1) mgsin⁡ϕcos⁡(θ−ϕ)\frac{mg\sin\phi}{\cos(\theta-\phi)} (2) mgcos⁡ϕcos⁡(θ−ϕ)\frac{mg\cos\phi}{\cos(\theta-\phi)} (3) mgtan⁡ϕmg\tan\phi (4) mgsin⁡ϕmg\sin\phi

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