A box of mass m = = 50kg is at rest when suddenly a force P is applied. Determine the acceleration if (a) P = 0, (b) P = 150 N, and (c) P = 300 N. The incline has a slope 0 = 15 deg and static coefficient of friction of μs = 0.2 and kinetic coefficient of friction of μ=0.15. Hint: To solve this problem we must first determine if the box is moving or not (to decide if we should use the static or kinetic friction coefficient). You can use the following approach. First assume the friction force has a magnitude Ff and solve for the Ff (as a function of P, g, and 0) under the assumption that the box is not moving (i.e., the forces sum to zero along the direction of the ramp). If the Ff you find is less than the maximum static friction force, Ff ≤ usN, then the box is indeed stationary. If |Fƒ| > µçN then the static friction force required is too large and the box moves. In this case Ff = 1kN and the forces are nonzero. Note that friction can act in both directons (up or down the ramp) depending on the motion of the box. 0 m Hs, Hk

A box of mass m = = 50kg is at rest when suddenly a force P is applied. Determine the acceleration if (a) P = 0, (b) P = 150 N, and (c) P = 300 N. The incline has a slope 0 = 15 deg and static coefficient of friction of μs = 0.2 and kinetic coefficient of friction of μ=0.15. Hint: To solve this problem we must first determine if the box is moving or not (to decide if we should use the static or kinetic friction coefficient). You can use the following approach. First assume the friction force has a magnitude Ff and solve for the Ff (as a function of P, g, and 0) under the assumption that the box is not moving (i.e., the forces sum to zero along the direction of the ramp). If the Ff you find is less than the maximum static friction force, Ff ≤ usN, then the box is indeed stationary. If |Fƒ| > µçN then the static friction force required is too large and the box moves. In this case Ff = 1kN and the forces are nonzero. Note that friction can act in both directons (up or down the ramp) depending on the motion of the box. 0 m Hs, Hk

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Question

5 Problem
A box of mass m = 50kg is at rest when suddenly a force P is applied. Determine the acceleration
if (a) P = 0, (b) P = 150 N, and (c) P = 300 N. The incline has a slope 0 = 15 deg and static
coefficient of friction of μs = 0.2 and kinetic coefficient of friction of μk=0.15.
Hint: To solve this problem we must first determine if the box is moving or not (to decide if
we should use the static or kinetic friction coefficient). You can use the following approach. First
assume the friction force has a magnitude Ff and solve for the Ff (as a function of P, g, and 0)
under the assumption that the box not moving (i.e., the forces sum to zero along the direction
of the ramp). If the Ff you find is less than the maximum static friction force, Ff ≤ μsN, then
the box is indeed stationary. If |Fƒ| > 1,N then the static friction force required is too large and
the box moves. In this case Ff μKN and the forces are nonzero. Note that friction can act in
both directons (up or down the ramp) depending on the motion of the box.
9
0
m
fs, flk

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