Mathematics for physicists by lea

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Mathematics for physicists by lea

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Mathematics for physicists by lea

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Mathematics for physicists by lea d a circle with angular velocity <*■ Write its velocity vector as a vector product of and the position vector r with respect to the center of the circ

le. Justify your expression. Differentiate your relation, and hence derive the angular form of Newton's second lav/ ■ tà) from the standard form (equa Mathematics for physicists by lea

tion 1.8).The direction of the velocity is perpendicular to " and also to the radius vector r. and is given by putting your right thumb along the vect

Mathematics for physicists by lea

or your fingers then curl in the direction of the velocity. The speed is v = Thus the vector relation we want is:V = 0>x ?Differentiating, we get:

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