Answer to Question #150293 in Physics for Nijean Lanterna

Question

A block of mass M = 10 kg is sitting on a surface inclined at angle θ = 45°. Given that the
coefficient of static friction is μ = 0.5 between block and surface, what is the minimum
force F necessary to prevent slipping? What is the maximum force F that can be exerted
without causing the block to slip?

Answer 1

$$F=mg\sin{\theta}-\mu mg\cos{\theta}\\ F=(10)(9.8)(\sin{45}-0.5\cos{45})\\F=35\ N$$