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The moment of inertia, or rotational inertia, determines the torque needed for a desired angular acceleration about a rotational axis. Like inertial mass is the resistance to being linearly accelerated, the moment of inertial is the resistance to being rotationally accelerated.
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What difference does Moment of Inertia cause?
You are considering the $F_{\rm friction}$ to have a constant value of $\mu
mg\cos\theta$ which is wrong.
The maximum value of friction is given by $\mu N=\mu mg\cos\theta$ ,but that does not mean t …