Runaway
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Homework Statement
A machine in an ice factory is capable of exerting 3.3 * 10^2 N of force to pull large blocks of ice up a slope. The blocks each weight 1.21 *10^4 N. Assuming there is no friction, what is the maximum angle that the slope can make with the horizontal if the machine is to be able to complete the task.
Fg= 1.21*10^4 N
Ft= 3.3 * 10^2 N
Fn is perpendicular to Ft
Homework Equations
(in case the symbols my teacher uses are not standard)
Fg= weight
Ft= tension force
Fn= normal force
F()x= the x component of said force ie Ftx
F()y= the y component of said force ie Fty
The Attempt at a Solution
These are the only equations I can come up with using the given data, but no matter how I substitute them, I have yet to find a solvable equation.
Ftx= Ft/sin(\theta)
Fty=Ft/cos(\theta)
Fnx=Fn/sin(90-\theta)
Fny=Fn/cos(90-\theta)
Ft= sqrt(Ftx2 + Fty2)
Fn= sqrt(Fnx2 + Fny2)
Fty+Fny=Fg
Ftx=Fnx
but no matter how I substitute them, I have yet to find a solvable equation.
ex.
1.21*10^4 N=(3.3 * 10^2 N)/cos(\theta)+(sqrt(((3.3 * 10^2 N)/sin(\theta)2 + ((1.21*10^4 N)-(3.3 * 10^2 N)/cos(\theta))2))/cos(90-\theta)
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