1. Engineering
  2. Mechanical Engineering
  3. 1 draw a freebody diagram for each disk clearly showing...

Question: 1 draw a freebody diagram for each disk clearly showing...

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Figure 3 shows two inertial disks connected through flexible shafts. In this arrangement, the disk with mass moment of inertia Ji undergoes rotation 6i as per the input torque Tin while encountering a resisting torque due to viscous friction with constant b. Since the shafts are flexible, the rotation of the disk with mass moment of inertia J2 is different in general, denoted by 62. Shaft 1 and Shaft 2 with stiffness constants respectively k1 and k2 act like rotational springs, that is, they exert restoring torques proportional to the stiffness constant and the amount of net angular displacement they undergo. 01 02 Torque, Tin Flexible shaft, k Flexible shaft, k2 Disk, J Disk, J2 Viscous friction, b Figure 3: Problem 3: Two inertial disks connected through flexible shafts (a) (15 points) Draw a free-body diagram for each disk clearly showing your sign conventions for the co ordinates and external torques.

1. Draw a free-body diagram for each disk clearly showing your sign conventions for the coordinates and external torques. (b) (20 points) Derive the governing equations of motion for this system.

2. Derive the governing equations of motion for this system.

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