Two particle A and B are moving as shown in the figure

Their total angular momentum about the point O is

Options

A. `9.8 kg m^(2) s^(-1)`
B. zero
C. `52.7 kg m^(2) s^(-1)`
D. `37.9 kg m^(2) s^(-1)`

Answer

A

Explanation

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 xx2.2xx1.5+3.1xx3.6 xx2.8`
`=-21.45 + 31.248 = 9.8 "kgm"^(2) s^(-1)`.