Question

This problem uses the same concepts as Multiple-Concept Example 17, except that kinetic, rather than static, friction is involved. A crate is sliding down a ramp that is inclined at an angle 30.6 ° above the horizontal. The coefficient of kinetic friction between the crate and the ramp is 0.360. Find the acceleration of the moving crate.

Answer 1

Answer:$1.94 m/s^2$

Explanation:

Given

inclination $\theta =30.6^{\circ}$

Coefficient of kinetic Friction $\mu =0.36$

Forces on crate is

$mg\sin \theta -f_r=ma$

$f_r=\mu mg\cos \theta$

$mg\sin \theta -\mu mg \cos \theta =ma$

$a=g\sin \theta -\mu g\cos \theta$

$a=1.94 m/s^2$