Recent content by simon janssens

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    Balancing a plank on a cylinder

    UPDATE ---- thanks to haruspex I noticed that i calculated τ = r × F⊥ incorrectly, when taking clockwise as positive, the torque should be negative. This makes the angular acceleration opposed to ϑ, as expected. this gives 3 equations and 3 variables, as before : ϑ(0) = ϑ0 = Asin(φ0) ϑ'(0) = 0 =...
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    Balancing a plank on a cylinder

    It should be negative, because the plank is always accelerating towards the point of equilibrium. So should it be ϑ''(0) = -3ga/b2 ⋅ ϑ ? I probably made a mistake with the vector product τ = r × F⊥
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    Balancing a plank on a cylinder

    Homework Statement The figure shows a uniform thin rigid plank of length 2b which can roll without slipping on top of a rough circular log of radius a. The plank is initially in equilibrium, resting symmetrically on top of the log, when it is slightly disturbed. Find the period of small...