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A solid cylinder of radius r rolls down ...

A solid cylinder of radius r rolls down an inclined plane of height `h` and inclination `theta`. Calculate its speed at the bottom of the plane using energy method. Also calculate the time taken to reach of the bottom.

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To solve the problem of a solid cylinder rolling down an inclined plane using the energy method, we will follow these steps: ### Step 1: Understand the Energy Conservation Principle The potential energy lost by the cylinder as it rolls down the incline will be converted into kinetic energy (both translational and rotational). ### Step 2: Write the Expression for Potential Energy The potential energy (PE) at the top of the incline is given by: \[ ...
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