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Chapter 10. More with angular rotatoin. Cross product (Vector Product). The solution of a vector product AxB is a vector in a direction that is perpendicular to the two vectors A and B. (Right hand rule) A X B = - B X A [ A X B ] = AB sin (theta) i xj =- jxi = k
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Chapter 10 More with angular rotatoin
Cross product(Vector Product) • The solution of a vector product AxB is a vector in a direction that is perpendicular to the two vectors A and B. (Right hand rule) • A X B = -B X A • [A XB] = AB sin (theta) • ixj =-jxi = k • jxk = -kxj = i • kxi = -ixk = j • ixi = jxj = kxk = 0
A x B = (Axi+ Ayj + Azk) x (Bxi+ Byj+ Bzk) = (Ay Bz - Az By )i = (AzBx - AxBz) j = (AX BY - AYBX) K
Determinate method (Ay Bz - Az By )i + (AzBx - AxBz) j + (AX BY - AYBX) k
Relating rotational with translational • Linear momentum • Torque