What are the x and ycomponents of his velocity immediately a

What are the x and ycomponents of his velocity immediately after the tether becomes taut?

Enter your answers numerically separated by a comma.

Solution

Angular momentum is given by = m* (rxV)

Angular momentum = 120*(6jx2i)

Angular momentum = -1440 k (kg.m^2/sec)

from conservation of Angular momentum :

Li = Lf

-1440 k = -120*11*v k

v = 1440/(120*11) = 1.09 m/sec

Before the tether becomes taught, his component of velocity parallel to the tether is

vr = 2*cos 33.06 deg = 1.68 m/sec

After it becomes taut

vr\' = -e*vr = 0.78*1.68 = -1.31 m/sec

The x and y components of his velocity are

Vx\' = -1.31*cos 33.06 deg + 1.09*sin 33.06 deg

Vx\' = -0.503 m/sec

Vy\' = -1.31*sin 33.06 deg - 1.09*cos 33.06 deg

Vy\' = -1.628 m/sec

Let me know if you have any doubt.