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Homework Statement
Isolate for the angle. Do not sub in numbers, isolate the angle, θ . Use of trig identities required.
Homework Equations
[itex]m_{2}g=m_{1}gsinθ-μm_{1}gcosθ[/itex]
We are given the trigonometric identities:
The Attempt at a Solution
I have attempted everything from squaring both sides, to no avail, as I see no way to use any trig identities so isolate for the angle. It is the μ that makes it quite difficult to isolate for θ.
[itex]m_{2}g=m_{1}gsinθ-μm_{1}gcosθ[/itex]
[itex]m_{2}g=m_{1}g(sinθ-μcosθ)[/itex]
[itex]\frac{m_{2}g}{m_{1}g}=(sinθ-μcosθ)[/itex]
[itex]\frac{m_{2}}{m_{1}}=sinθ-μcosθ[/itex]
At this point I am completely stuck... Any help would be appreciated.
Thanks.
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