A hollow sphere of mass 'M' and radius 'R' is rolling on horizontal surface with speed 'V' . Find the angular momentum of sphere about point of contact on surface.

Question

A hollow sphere of mass 'M' and radius 'R' is rolling on horizontal surface with speed 'V' . Find the angular momentum of sphere about point of contact on surface. (A) (2/3)MVR (B) (5/3)MVR (C) (7/3)MVR (D) (7/5)MVR

Tardigrade Admin · Accepted Answer

L=MVR+((2/3) (MR)2)((V/R)) <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-wctxwewl4r9j3xun.jpg" /> =(5/3)MVR

Q. A hollow sphere of mass $^{'} M^{'}$ and radius $^{'} R^{'}$ is rolling on horizontal surface with speed $^{'} V^{'}$ . Find the angular momentum of sphere about point of contact on surface.

$\frac{2}{3} M V R$

$\frac{5}{3} M V R$

$\frac{7}{3} M V R$

$\frac{7}{5} M V R$

$L = M V R + (\frac{2}{3} (MR)^{2}) (\frac{V}{R})$

$= \frac{5}{3} M V R$

Q. A hollow sphere of mass ′M′ and radius ′R′ is rolling on horizontal surface with speed ′V′ . Find the angular momentum of sphere about point of contact on surface.

32​MVR

35​MVR

37​MVR

57​MVR