Question

if the velocity of a rotating body of mass 50kg is given by vbar=3î+4j-5k and is rotating with radius vector r=2i+3j-4k,then its angular momentum is?

Answer 1

the answer will be option d

Answer 2

$50\widehat{i} - 100\widehat{j} - 50\widehat{k}$ is the Required Momentum

Step-by-step explanation:

We know that,  

Angular Momentum (L) is given as,

L = Mass of body $\times$ (Product of Vectors)

So, According to the question-

$\overline{r} \times \overline{v}$ = Matrix

= $\widehat{i}[-15+16]-\widehat{j}[-10+12]+\widehat{k}[8-9]$

= $\widehat{i}+2\widehat{j}-\widehat{k}$

Angular Momentum, L = $50(\overline{r} \times \overline{v})$

= $50(\widehat{i}-2\widehat{j}-\widehat{k})$

= $50\widehat{i} - 100\widehat{j} - 50\widehat{k}$