The time dependence of the position of a part | vedclass

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Question

$\overrightarrow v  = 2\hat i - 6 + \hat j$

$At\,t = 2$

$\overrightarrow v  = 2\hat i - 12\hat j$

$\overrightarrow p  = m\over

Vedclass · Accepted Answer

$-48\,\hat k$

Vedclass · Answer

$\overrightarrow v  = 2\hat i - 6 + \hat j$

$At\,t = 2$

$\overrightarrow v  = 2\hat i - 12\hat j$

$\overrightarrow p  = m\overrightarrow v  = 4i - 24\hat j$

$At\,t = 2$

$\overrightarrow r  = 4\hat i - 12\hat j$

$\overrightarrow L  = \overrightarrow r  	imes \overrightarrow p  = \left| \begin{array}{l}
\hat i\,\,\,\,\,\,\,\,\,\,\hat j\,\,\,\,\,\,\,\,\,\,\,\hat k\
4\,\,\,\,\,\, - 12\,\,\,\,\,\,\,\,\,0\
4\,\,\,\,\,\, - 24\,\,\,\,\,\,\,\,\,0
\end{array} ight|$

$ = \left\{ {4\left( { - 24} ight) + 4 	imes 12} ight\}\hat k$

$ = \left( { - 96 + 48} ight)\hat k$

$ = \left(  -  ight)48\,\hat k$

The time dependence of the position of a particle of mass $m = 2$ is given by $\vec r\,(t)\, = \,2t\,\hat i\, - 3{t^2}\hat j$ Its angular momentum with respect to the origin at time $t = 2$ is

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