Their total angular momentum about the point \[O\] is
A) \[9.8\text{ }kg\text{ }{{m}^{2}}/s\]
B) zero
C) \[52.7\,kg\,{{m}^{2}}/s\]
D) \[37.9\,kg\,{{m}^{2}}/s\]
Correct Answer: A
Solution :
Total angular momentum about O is given as. \[L={{L}_{1}}+{{L}_{2}}={{m}_{1}}{{v}_{1}}{{r}_{1}}+{{m}_{2}}{{v}_{2}}{{r}_{2}}\] \[=-6.5\times 2.2\times 1.5+3.1\times 3.6\times 2.8\] \[=21.45+31.248=9.8\,kg{{m}^{2}}/s\]
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