Mass on Inclined Plane with Static Friction · PhysicsBowl 2014 #20

Physics · mechanics

Problem

A uniform block of mass mm is placed on an inclined plane of angle θ\theta. When released, the block does not move. It is determined that the normal force acting from the incline on the block has a magnitude of 6262 NN while the force of static friction acting on the block has a magnitude of 3838 NN. The coefficient of static friction between the block and inclined plane is μs=0.92\mu_s = 0.92. Which one of the following choices best represents the mass, mm, of the block? (Use g=10.0g = 10.0 ms2\frac{m}{s^2}) [Figure: Block on inclined plane at angle θ] (A) 2.42.4 kgkg (B) 6.26.2 kgkg (C) 7.37.3 kgkg (D) 8.48.4 kgkg (E) 10.010.0 kgkg

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