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A cylinder is released from rest from th...

A cylinder is released from rest from the top of an incline of inclination `theta` and length 'L'. If the cylinder rolls without slipping. What will be its speed when it reaches the bottom?

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To find the speed of the cylinder when it reaches the bottom of the incline, we can use the principle of conservation of energy. Here’s a step-by-step solution: ### Step 1: Identify the initial and final energies - At the top of the incline, the cylinder has gravitational potential energy (PE) and no kinetic energy (KE) since it starts from rest. - At the bottom of the incline, the potential energy is zero, and the cylinder has both translational and rotational kinetic energy. ### Step 2: Calculate the initial potential energy - The height (h) from which the cylinder is released can be calculated using the length of the incline (L) and the angle of inclination (θ): ...
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