(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider a half pipe of height L. The middle section, non sloping part, has a friction coefficient of ##\mu_k = 0.1## and frictionless every where else. The length of this section is L. How many times can the skateboarder go back and forth before he stops?

2. Relevant equations

##\sum\mathbf{F} = m\mathbf{a}##

3. The attempt at a solutionIn the friction section,

$$

\sum F_x = v_x - F_f = v_x - .1N

$$

since ##F_f = \mu_k N##.

For the frictionless section, we would have (not sure about this part)

\begin{align}

F_y &= mg\cos(\theta)\\

F_x &= mg\sin(\theta)

\end{align}

Not sure how to determine how many times the skateboarder can go back and forth.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Half pipe with friction in the middle

Have something to add?

**Physics Forums | Science Articles, Homework Help, Discussion**