Rotational Motion Question 9

Question 9 - 2024 (31 Jan Shift 2)

A body of mass ’ $m$ ’ is projected with a speed ’ $u$ ’ making an angle of $45^{\circ}$ with the ground. The angular momentum of the body about the point of projection, at the highest point is expressed as $\frac{\sqrt{2} mu^{3}}{Xg}$. The value of ’ $X^{\prime}$ is

Show Answer

Answer: (8)

Solution:

$L=mu \cos \theta \frac{u^{2} \sin ^{2} \theta}{2 g}$

$=m u^{3} \frac{1}{4 \sqrt{2} g} \Rightarrow x=8$