# Tension in the rod

A rod of mass $$1 \ \mathrm{kg}$$ is hanging vertically as shown, whose linear mass density varies according to the equation $$\lambda(x)=\lambda_o \sin \left(\dfrac{\pi x}{L}\right)$$.

Find the tension(in newton) in the rod at $$x=\frac{3L}{4}$$.

Assumptions

• $$g=9.8\frac{m}{s^2}$$
• $$x$$ is measured from the high end to the low end of the rod.
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