Breaking String (Part 2)

A bob of mass $M=0.5~kg$ is attached to the end of a string of length $L=5.6~m$ . The other end of the string is attached to an anchor point.

The string and bob are initially horizontal, and the bob is given a downward vertical velocity $v=1~m/s$ at time $t=0$ . The string can withstand a maximum tension $T=12~N$ without breaking.

Find the time when the string breaks.

Details and Assumptions

• $g=10~m/s^2$ in the downward vertical direction
• The string is taut at all times, from $t=0$ to the time of breaking

Inspiration