What Angle Does the Plumb Bob Make with the Vertical on a Sliding Frame?

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The discussion focuses on determining the angle a plumb bob makes with the vertical as it hangs from a sliding frame on a frictionless inclined plane. The problem is framed within the context of Newton's Laws and inertia. The initial confusion about how to approach the problem is noted, but the solution involves setting the tension equal to the gravitational force and simplifying to find that tan(theta) equals tan(alpha). This leads to the conclusion that the angle of the plumb bob is equal to the angle of the incline. The final answer reflects a clear understanding of the relationship between the forces acting on the plumb bob and the frame.
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Homework Statement


A plum bob suspended from a frame settles to a steady position as the frame slides down a frictionless inclined plane. What is the angle the plumb bob makes with the vertical during the slide?
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Homework Equations


The problem is from a section introducing Newton's Laws. I assume this problem is about inertia.


The Attempt at a Solution


Utterly no idea how to go about this, although I assume the answer is alpha=theta since that's the clean way the answer could come out.
 
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I figured it out. Set T to Fg and the T and m cancel out, leaving tan(theta)=tan(alpha)
 
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