The unit mass having r = 8 hat(i) - 4 hat(j) and v = 8 hat(i) + 4 hat(j) in its angular momentum is

The unit mass having r = 8 hat(i) - 4 hat(j) and v = 8 hat(i) + 4 hat(

1.	The unit mass having r = 8 hat(i) - 4 hat(j) and v = 8 hat(i) + 4 hat(j) in its angular momentum is
Answer» 64 units in `-hat(k)` direction 64 units in `+hat(k)` direction 64 units in `+ hat(j)` direction 64 units in `+ hat(i)` direction Solution :For a body of mass `m` rotating with VELOCITY `v` in a CIRCLE of radius r, then angular momentum is given by `L = m(r xx v)` For UNIT mass, `m=1` `:. \|L\|=[(8 hat(i)-4hat(j))xx(8hat(i)+4hat(j))]` ` rArrL=\|{:(hat(i),hat(j),hat(k)),(8,-4,0),(8,4,0):}\|` `RARR L=hat(i)(0-0)-hat(j)(0-0)+hat(k)(32+32)` `rArr L = 64 hat(k)` units.