Question

A sphere rolls without slipping on a rough horizontal surface with centre of mass speed v₀. If mass of the sphere is M and its radius is R, then what is the angular momentum of the sphere about the point of contact?

Options

• ${\displaystyle \frac{5}{2}{\text{MV}}_0\text{R}}$

• ${\displaystyle \frac{7}{5}{\text{MV}}_0\text{R}}$

• ${\displaystyle \frac{3}{5}{\text{MV}}_0\text{R}}$

• ${\displaystyle \frac{1}{2}{\text{MV}}_0\text{R}}$

Answer 1

${\displaystyle \frac{7}{5}{\text{MV}}_0\text{R}}$