# Projection up an inclined plane

1. Jan 30, 2012

### Dreamalittle

1. The problem statement, all variables and given/known data
A particle is projected from a point P on an inclined plane, up the line of greatest slope through P, with initial speed V. The angle of the plane to the horizontal is θ.

(i) If the plane is smooth, and the particle travels for a time $\frac{2Vcosθ}{g}$ before coming instantaneously to rest, show that θ=$\frac{π}{4}$

(ii) If the same plane is given a roughened surface, with a coefficient of friction 0.5, find the distance travelled before the particle comes to rest.

2. Relevant equations

No equations given for this question.

3. The attempt at a solution

I'm not even sure I fully understand the question. It's not a projectile question is it? - In which case, the particle simply travels up the slope?

2. Jan 30, 2012

### tiny-tim

Welcome to PF!

Hi Dreamalittle! Welcome to PF!
Yes, it simply travels up the slope.

"Projected" simply means that it has no power of its own (after you initially hit it).