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The defending soldiers of a castle are launching a watermelon over the castle wall at an advancing army. To do this, they have designed a catapult with a heavy spring.
What is known:
- The catapult and spring have the dimensions shown.
- The spring constant k is 160 lb/ft, and the spring is in a relaxed position when the catapult is vertical (i.e. the relaxed length is 5 ft).
- The collar of the spring is attached to a frictionless bearing.
- The center of mass of the catapult (without the watermelon) is located at 2L/3.