Calculate'the final speed acquired by the softd cylinder shown in Fig.2.48 when it rolls down and reaches the bottom of the inclined plane' without slipping. Assume that the inclined plane is frictionless.

Explanation

To solve the problem of calculating the final speed acquired by the solid cylinder when it rolls down a frictionless inclined plane, we can follow these steps:

### Step 1: Identify the energy conversion
When the solid cylinder rolls down the inclined plane, its potential energy at the top converts into kinetic energy at the bottom. The potential energy (PE) at height \( h \) is given by:
\[ PE = mgh \]
where \( m \) is the mass of the cylinder, \( g \) is the acceleration due to gravity, and \( h \) is the height of the incline.
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