Question

Calculate the mass of a thin rod of length L whose mass distribution is uniform throughout, with linear mass density ${\lambda }_0$.

• A. ${\lambda }_{0}L$
• B. $\frac{{\lambda }_{0}L}{2}$
• C. $\frac{{\lambda }_{0}L}{3}$
• D. None of these

Answer 1

The correct option is A

${\lambda }_{0}L$

Using $dm={\lambda }_{0}dx$, mass of the rod $={\int }_0^{M}dm={\int }_0^L{\lambda }_{0}dx\Rightarrow M={\lambda }_{0}L$