Class 11 NEET Physics System of Particles and Rotational Motion

→

L

=

→

r

×

→

p

Y=X+4 line has been shown in the figure.
When X=0,
Y=4, So OP=4.
The slope of the line can be obtained by comparing with the equation of line
y=mx+c
m=tan‌θ=1⇒θ=45°
∠OQP=∠OPQ=45°
If we draw a line perpendicular to this line.
Length of the perpendicular =OR
⇒OR=OP‌sin‌45° =4

1

√2

=

4

√2

=2√2
Angular momentum of particle going along this line =r×mv=2√2×5 ×3√2=60‌units