# INPHO

Consider a heavy rod mass $$m$$ and length $$L$$ in between the two light rods (perpendicular and fixed). The whole set up is in the horizontal plane. The heavy rod is given an initial angular velocity $$\omega$$. Find $$\omega$$ such that the light rod always remains in contact with it and it comes to rest finally as shown. A magnetic field $$B$$ exists perpendicular to the plane. Let the resistance of the heavy rod be $$R$$ and that of the light rods be 0.

If $$\omega = a \cdot \dfrac{B^2 L}{mR}$$, submit your answer as $$a$$.

×