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Calculating relative acceleration and magnitude of force

Please see the attachment. What is the most straight forward way to solve it? Please provide explanations for the major steps.
Thanks.

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USE OF EQUATION OF MOTION IN TERMS OF RADIAL AND TRANSVERSE DIRECTIONS

a.) Because along the radial direction:
Tension in the cord:
T = m*r*Q_dot^2
Read Q as theta.
Q_dot == theta dot = d(Q)/dt = 10t rad/s
The cord will break when T = 18 N
=> ...

Solution Summary

This solution describes in 176 words how to find the acceleration and force through using the equation of motion, tension, and time.

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