Finding the Magnitude of a Horizontal Force

[GhostlyKiss]

Homework Statement

A 2.0 kg block on an incline at a 60 degree angle is held in equilibrium by a horizontal force.
A) Determine the magnitude of this horizontal force (disregard friction)
B) Determine the magnitude of the normal force on the block.

I have no idea which equation to use. All the equations I can find don't give me enough information to start the problem. The only equations that I can find include friction and other things not present in the problem.

 

[rl.bhat]

Hi GhostlyKiss, welcome to PF.
Resolve the horizontal force into two components. One along the inclined plane ant the other perpendicular to the inclined plane. Similarly resolve the weight of the block. From these you can get the required results.

 

[GhostlyKiss]

How do I resolve the horizontal force? Is F_n=mgcos\oslash an equation I would use?

 

[rl.bhat]

How do I resolve the horizontal force? Is F_n=mgcos\oslash an equation I would use?

One component of mg is mgcosθ. What is the other component of mg along the inclined plane? Similarly find Fcosθ and Fsinθ. Identify their directions.

 

[GhostlyKiss]

Ok thank you :)