In this problem, we have gravitational potential energy, linear kinetic energy, and rotational kinetic energy.
Using conservation of energy:
, where Wnc is the work done by non-conservative forces such as friction.
Linear kinetic energy:
Rotational kinetic energy:
Gravitational potential energy:
Moment of inertia of the spool:
Use conservation of energy to determine the angular speed of the spool shown in Figure P8.52 after the 3.00-kg bucket has fallen 4.00 m, starting from rest. The light string attached to the bucket is wrapped around the spool and does not slip as it unwinds.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Conservation of Energy with Rotation concept. You can view video lessons to learn Conservation of Energy with Rotation. Or if you need more Conservation of Energy with Rotation practice, you can also practice Conservation of Energy with Rotation practice problems.