A small particle of mass m is projected at an angle\[\theta \]with the x-axis with an initial velocity v0 in the\[x-y\]plane as shown in the figure. At a time \[t<\frac{{{v}_{0}}\sin \theta }{g},\] the angular momentum of the particle is - [AIEEE 2010] |
A) \[\frac{1}{2}mg{{v}_{0}}{{t}^{2}}\cos \theta \hat{i}\]
B) \[-mg{{v}_{0}}{{t}^{2}}\cos \theta \hat{j}\]
C) \[mg{{v}_{0}}t\cos \theta \hat{k}\]
D) \[-\frac{1}{2}mg{{v}_{0}}{{t}^{2}}\cos \theta \hat{k}\]
Correct Answer: D
Solution :
[d] at any time t |
So, |
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