Скачать или смотреть Dynamics Example 8-33: Work and Energy problem for a planetary gear system

If only conservative forces apply on the system, the work and energy equation can be simplified to conservation of energy equation. All the problems that can be solved using conservation of energy can also be solved using work and energy method but not the other way round. We have two types of potential energy, elastic potential energy stored by an elastic spring and gravitational potential energy due to change in height.

Problem Statement: Problem 18-33. The two 2-kg gears A and B are attached to the ends of a 3kg slender bar. The gears roll within the fixed ring gear C, which lies in the horizontal plane. If a 10- N. m torque is applied to the center of the bar as shown, determine the number of revolutions the bar must rotate starting from rest in order for it to have an angular velocity of ω_AB=20 rad/s. For the calculation, assume the gears can be approximated by thin disks.