Lecture_25_2007

Lecture_25_2007 - Centre of mass/gravity in a nutshell 1 1...

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Unformatted text preview: Centre of mass/gravity in a nutshell 1 1 n i i i c m n i i m x x m = = = For solid objects use symmetry to help find C of M Sometimes treat holes as negative mass objects Simplify problems by reducing to simple shapes For isolated objects centre of mass is fixed If the C of M is expressed relative to a moving coordinate system be very careful when finding the absolute positions of parts of the system (relate back to fixed points such as the centre of mass or a fixed object in the environment) For moving objects and collisions where no external force is applied the centre of mass will continue in a straight line with constant velocity (Newton 1) Rotational Motion The Tumble dryer Alice Through x t = x t = [ ] m [ ] rad [ ] / m s [ ] / rad s t = a t = 2 / m s 2 / rad s F Fl = Linear world Rotational world +ve +ve [ ] N [ ] Nm W F x = [ ] J W = [ ] J Kinematic equations...
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Lecture_25_2007 - Centre of mass/gravity in a nutshell 1 1...

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