Solving Differential Equations for Inclined Plane.

[sergej21]

Homework Statement

http://img192.imageshack.us/img192/6482/asderl.jpg

Find S(t).

Homework Equations

I managed to find these equations, but don't know how to solve them completely.

mx``=Rsinφ
my``=Rcosφ-mg
xtgφ+y=h
x`(0)=0; x(0)=0; y`(0)=0; y(0)=h

The Attempt at a Solution

Need to find s(t). Is S=(x^2+y^2)^0.5?Thank you!

 

[ehild]

Need to find s(t). Is S=(x^2+y^2)^0.5?

According to the picture, s=(x^2+(xtanφ))^0.5.

ehild

 

[sergej21]

http://img577.imageshack.us/img577/3222/img20120210175721.jpg

Cannot find the problem :)

 

[ehild]

The question : what is R. If it is an arbitrary force, perpendicular to the surface, you have done. If it is the normal reaction force the slope exerts on the block, R=mg cos(φ).

The solution of the problem "block sliding down on slope" is much easier with a coordinate system where the axes are aligned parallel with and perpendicular to the slope.

ehild