A block of mass m=8.0 kgm = 8.0\text{ kg}m=8.0 kg is held on a rough inclined plane of angle θ=30∘\theta = 30^\circθ=30∘ to the horizontal. A horizontal force P P\,P is applied to the block as shown in the diagram.
The coefficient of static friction between the block and the plane is μ=0.35\mu = 0.35μ=0.35.
Find the minimum magnitude of the horizontal force P P\,P required to prevent the block from sliding down the plane. Use g=9.8 m s−2g = 9.8\text{ m s}^{-2}g=9.8 m s−2.
17.8 N17.8\text{ N}17.8 N
14.8 N14.8\text{ N}14.8 N
45.3 N45.3\text{ N}45.3 N
91.1 N91.1\text{ N}91.1 N