A uniform rod of mass m and length L slides along its length from a smooth region into a rough region (coefficient µ) with initial speed v₀. Find: (i) friction when length x<L lies on the rough part; (ii) minimum v₀ for the rod to enter fully before stopping; (iii) if initial speed is twice this minimum, distance travelled by the front end before rest.

Physics · Work , Power and Energy · kinetic enegy and work engery theorem

JEE Advanced

A uniform rod of mass m and length L slides along its length from a smooth region into a rough region (coefficient µ) with initial speed v₀. Find: (i) friction when length x<L lies on the rough part; (ii) minimum v₀ for the rod to enter fully before stopping; (iii) if initial speed is twice this minimum, distance travelled by the front end before rest.

Options