APFIVE Center Of Mass Of A Non-Uniform Rod
A non-uniform rod has a linear mass density that increases linearly from $$\lambda_0$$ at one end to $$3\lambda_0$$ at the other end along its length $$L$$. Where is the center of mass located relative to the lighter end of the rod?
A
At $$\frac{1}{2}L$$ from the lighter end
B
At $$\frac{7}{12}L$$ from the lighter end
C
At $$\frac{2}{3}L$$ from the lighter end
D
At $$\frac{3}{4}L$$ from the lighter end