## What is the magnitude of angular momentum in this ques ?

A particle of mass m = 5 is moving with a uniform speed of  $3\sqrt2$  units in the XOY plane along the line y = x + 4. The magnitude of the angular momentum about the origin is:

a) 60

b) $40\sqrt2$

c) 0

d) 7.5

27-Oct-2015 12:56 AM
~6

1

Equation of line: x - y + 4 = 0

Distance of line from origin; = $\dpi{150} \tiny \frac{0 - 0 + 4}{ \sqrt{1^{2} + 1^{2 }} }$ = $\dpi{150} \tiny \frac{4}{\sqrt{2}}$

Angular momentum = mvr = $\dpi{150} \tiny 5 * 3\sqrt{2} * \frac{4}{\sqrt{2}}$

= 60 units.

Ans is (a)

27-10-2015 11:15
~4