Question

The centre of mass of a non-uniform rod of length L whose mass per unit length r varies as r = where k is a constant and x is the distance of any point from one end is –

• A.
• B.
• C.
• D. $\frac { 3 \mathrm { k } } { \mathrm { L } }$

Answer 1

Answer: (A)

Answer 2

x_cm = $\frac { \int _ { 0 } ^ { \mathrm { L } } \frac { \mathrm { kx } ^ { 2 } } { \mathrm {~L} } \mathrm { dx } \times x } { \int _ { 0 } ^ { \mathrm { L } } \frac { \mathrm { kx } ^ { 2 } } { \mathrm {~L} } \mathrm { dx } }$