wrobel's latest activity
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wrobel replied to the thread Trying to understand the logic behind adding vectors with an angle between them.Some questions merely disappear during systematically studying the subject. -
wrobel replied to the thread B The Effect of Linear and Rotational Motion on Measured Weight.It seems I know the origin of the question:
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wrobel replied to the thread Trying to understand the logic behind adding vectors with an angle between them.There is a regular theory which is good to know before solving such problems. Banach Mech You need formula (I) at page 57 of this book...
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wrobel replied to the thread Rolling without slipping on a curved surface.In general a rigid body can move such that there are no axes of rotation and there is no need to refer to them. Theorem (Euler). There...
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wrobel replied to the thread Rolling without slipping on a curved surface.I hinted on some advanced things, forget it. By the way a phrase <<angular velocity of a rigid body about that axis>> or <<angular...
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wrobel replied to the thread Rolling without slipping on a curved surface.##J_S\boldsymbol{\dot\omega}=\boldsymbol {SA}\times \boldsymbol F,\quad \boldsymbol \omega=\dot\varphi\boldsymbol e_z;\quad...
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wrobel replied to the thread Rolling without slipping on a curved surface.Besides a few degenerate cases, a reaction of an ideal constraint is a quadratic function of generalized velocities. And this is exactly...
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wrobel replied to the thread Other What are some good books for learning Galois Theory?.Van der Waerden Modern Algebra
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wrobel replied to the thread A bead-mass oscillatory system problem.ok I quit:)
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wrobel replied to the thread A bead-mass oscillatory system problem.$$\boldsymbol v_B=\dot x\boldsymbol e_x+\dot\alpha r \boldsymbol e_\alpha,\quad r=|AB|;$$ $$\boldsymbol a_B=\ddot x\boldsymbol e_x+\ddot...
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wrobel replied to the thread A bead-mass oscillatory system problem.The equations mentioned above contain the terms ##\alpha,\dot\alpha,\dot x##
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wrobel replied to the thread A bead-mass oscillatory system problem.Introduce an angle ##\alpha## between the string and the wire and a coordinate x that determines the position of the bead. Express in...
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wrobel replied to the thread I Recovering Hamilton's Equations from Poisson brackets.Such a way of presentation can really confuse a reader. In (4.76) the function u depends on p,q and t. But in formulas (4.77) and...
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wrobel replied to the thread I Is calling fictitious forces "not real" just about terminology?.Fictitious forces appear as a result of the following banal mathematical trick. Consider the second Newton relative an inertial frame...
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wrobel replied to the thread I Is calling fictitious forces "not real" just about terminology?.
