Question

A small particle of mass is projected at an angle $\theta$ with the x-axis with an initial velocity $v_0$ in the x-y plane as shown in the figure. At a time $t<\frac{v_0\sin \theta }{g}$, the angular momentum of the particle is:

• A. $-mg{v}_0{t}^2\cos \theta \hat{j}$
• B. $mg{v}_0{t}^2\cos \theta \hat{k}$
• C. $-\frac{1}{2}mg{v}_0{t}^2\cos \theta \hat{k}$
• D. $\frac{1}{2}mg{v}_0{t}^2\cos \theta \hat{i}$

Answer 1

The correct option is C $-\frac{1}{2}mg{v}_0{t}^2\cos \theta \hat{k}$

correct option $\left(C\right)$