(Solved): Problem 3. The spool shown in the figure \( (R=1 \mathrm{~m}, r=0.5 \mathrm{~m}) \) rolls The cord ...

Problem 3. The spool shown in the figure \( (R=1 \mathrm{~m}, r=0.5 \mathrm{~m}) \) rolls The cord is being pulled from the spool at the speed \( v_{A}=5 \mathrm{~m} / \mathrm{s} \) and is accelerating at a rate of \( 0.15 \mathrm{~m} / \mathrm{s}^{2} \). Tasks: (a) Determine the disk's angular velocity and angular acceleration. (b) Determine the velocity and acceleration of the disk's center with respect to the ground.