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General expression for the center of mass what if the

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Unformatted text preview: equa;ons we get: θ = 28.6 o Total KE before collision: Ki = v = 2.9 m / s 1 × 0.2 × 4 2 = 1.6 J 2 1 1 Total KE aWer collision: K f = × 0.2 × 2 2 + × 0.2 × 2.9 2 = 1.2 J 2 2 Clearly a frac;on of KE is lost and the collision is inelas;c. Note: This is not common textbook example of billiard ball collisions, which is oWen taken as elas;c collision. The center of mass When you throw an extended odd ­shaped object, how does it fly ? Does it follow a parabola ? What if it rotates ? There seems to be some privileged ‘spot’ on the object that follows a perfect parabola. If we have an collec6ve system, there is a special loca6on associated with the system which moves as though: (1)  All the system’s mass were concentrated there, at that point. (2)  All external forces were applied at that point. This loca6on is the center ­of ­mass (CM or COM) Center of mass (contd…) For a system consis6ng of two point masses, m1 & m2, separated...
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