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in Physics by (50.2k points)

A particle is moving along a straight line parallel to x-axis with constant velocity. Does its angular momentum about the origin decrease time or remain constant?

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Suppose the particle of mass 'm' is moving parallel to x-axis with constant velocity v and starting from B, where OB= b(see Fig.) At the time 't' let the particle be at p, where x = OA = BP = vt, y = b, z = 0.

Components of velocity are:

i.e., angular momentum has magnitude m vb and is directed along negative z-axis. Thus, angular momentum remains constant.

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