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Let the disk of mass 2.5kg start from re...

Let the disk of mass 2.5kg start from rest at time t = 0 and also let the tension in the massless cord be 6.0 N and the angular acceleration of the disk be `-24rad//s^(2)`. What is its rotational kinetic energy K at t = 2.5 s?

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To solve the problem step by step, we will follow these calculations: ### Step 1: Identify the given values - Mass of the disk, \( m = 2.5 \, \text{kg} \) - Tension in the cord, \( T = 6.0 \, \text{N} \) - Angular acceleration, \( \alpha = -24 \, \text{rad/s}^2 \) - Time, \( t = 2.5 \, \text{s} \) - Initial angular velocity, \( \omega_0 = 0 \, \text{rad/s} \) (since it starts from rest) ...
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