When Does a Book Slide Off a Tilting Shelf?

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NihalSh said:
@Simon Bridge
I know about that technicality, but I was trying to avoid it. You already know this is a basic Physics question. The poster hasn't even studied rotation yet. I believe the question was set with a mindset that the student will apply conservation of energy (although you know why this cannot be applied). If someone has a better method to go about it, I would really appreciate it.
Pls take a look at my post #24.
 
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haruspex said:
Pls take a look at my post #24.

yeah, looks like OP would have to solve that differential to get the precise result and would also have to get familiar with rotational variables!

Edit: If we use this method (which we should), the breakaway condition would change:

$$μ.g.Cos(ω.t)+(3.05).ω^2=g.Sin(ω.t)$$
 
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NihalSh said:
yeah, looks like OP would have to solve that differential to get the precise result and would also have to get familiar with rotational variables!

Edit: If we use this method (which we should), the breakaway condition would change:

$$μ.g.Cos(ω.t)+(3.05).ω^2=g.Sin(ω.t)$$
Good point.