Calculating Force to Move Piano Down Ramp

[Payne0511]

Homework Statement

A man pushes on a piano with mass 190 {\rm kg} so that it slides at constant velocity down a ramp that is inclined at 15.8^\circ above the horizontal floor. Neglect any friction acting on the piano.

Calculate the magnitude of the force applied by the man if he pushes parallel to the floor.

Homework Equations

I was able to calc the mag of force parallel to the incline using F=M*g*sin(theta). I don't know if this is useful...

The Attempt at a Solution

I thought maybe i could use the cos function instead of sin and it might work but I was wrong. This is the last one for this HW set I cannot get. Not too sure what other equations could be helpful..

thanks

 

[rl.bhat]

Draw the free body diagram.
Force is acting parallel to the floor. Resolve this force along the inclined plane and vertical to the inclined plane. Similarly resolve mg.