Question

Test Bank, Question 11.36 Two objects are moving in the x, y plane as shown. The magnitude of their total angular momentum (about the origin O) is: 2 mis 3 m/s 1 m 3 KO O o kg-m2/s 6 kg-m2/s 12 kg-m2/s 30 kg-m2/s 78 kg m2/s Click if you would like to Show Work for this question: Open Show Work

Answer 1

Angular momentum is given as L vector times mv vector So L_1 vector = r_1 vector times m_1 v_1 vector L_1 vector = j vector times (6 (-2i vector)) L_1 vector = j^^times (-12 i^^) L_1 vector = 12 k^^and L_2 vector = r_2 vector times m_2 v_2 vector L_2 vector = 2 i^^times (9 j^^) L_2 vector = 18 k^^then total Angular momentum L vector = L_1 vector + L_2 vector L vector = 12 k vector + 18 k vector L vector = 30 k vector magnitude Vertical-bar L vector Vertical-bar = 30 kg m^2/s