A table is composed of a normal area and a sticky area. A disc has thickness d, radius R and made of a material of density p. The disc rolls on the normal area with translational velocity v without loss of energy. Then, the disc enters the sticky area and consequently immediately starts rolling and stops rolling after rolling the total distance l in the sticky area. Find the work done during this process.

A table is composed of a normal area and a sticky area. A disc has thickness d, radius R and made of a material of density p. The disc rolls on the normal area with translational velocity v without loss of energy. Then, the disc enters the sticky area and consequently immediately starts rolling and stops rolling after rolling the total distance l in the sticky area. Find the work done during this process.