A mass M is initially held at rest at the top of an incline of length L, with slope forming an angle α with the horizontal (see figure). When the mass is released, it starts sliding down the incline. The coefficient of kinetic friction between the mass and the incline is μk.
a) Draw a free body diagram for the mass.
b) Find the acceleration of the mass.
c) Find the time it take the mass to reach the bottom of the incline.
Write your results in terms of M, L, α, μk, and g. Check the units/dimensions for each answer.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Inclines with Friction concept. You can view video lessons to learn Inclines with Friction. Or if you need more Inclines with Friction practice, you can also practice Inclines with Friction practice problems.
How long does this problem take to solve?
Our expert Physics tutor, Patrick took 10 minutes and 16 seconds to solve this problem. You can follow their steps in the video explanation above.