6. A `10`-`kg` box rests on the inclined plane shown below.
a) Draw a free-body diagram of the box.
b) Determine the friction force between the box and inclined plane.
6. A 10-kg box rests on the inclined plane shown below.
a) Draw a free-body diagram of the box.
b) Determine the friction force between the box and inclined plane. `sumF = 0`
b) `f_s = 50\ N`
a)
b)
Given:
`m = 10\ kg`
`θ = 30°`
Equation
`sumF = 0`
Solution:
`sumF = f_s - mgsinθ = 0`
`=>`
`f_s = mgsinθ`
`f_s = (m = 10\ kg)(10\ m//s^2)(sin30°)`
`f_s = 50\ N` |