Force of object pulled up incline

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Homework Statement



A 23 kg suitcase is being pulled with a constant speed by a handle that is at an angle of 22° above the horizontal. If the normal force exerted on the suitcase is 170 N, what is the force F applied to the handle?

Homework Equations





The Attempt at a Solution


Aight here is another one i am having trouble with! Again any help or suggestions would be great :)

I drew out a diagram. My plan was to solve Force applied to handle by solving two equations (horiztonal and vertical forces)

1) the sum of Forces (x) = Force applied - Force (weight) = 0
2) the sum of Forces (y) = Fnormal -Force(weight)

1) Force applied - sin 22 F(weight) = 0
2) 170 - cos 22 F(weight) = 0
sovling i get force (weight) = 183.5 N
Plugging into the equation for 1
Force applied - 0.3746 (183.5N) = 0
Force applied = 68.68 N

Any help with this one on strategy or how to solve this? thanks so much
 
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