1. Engineering
  2. Mechanical Engineering
  3. please show full steps and make sure work is readablethank...

Question: please show full steps and make sure work is readablethank...

Question details
Please show full steps and make sure work is readable.Thank!
3.9 A fixed-center cylindrical pinion of mass mi and radius R1 transmits its rotation to a translating rack of mass m3 as illustrated in Figure 3.51. The mobile rack further interacts with another cylindrical pinion of mass m2 and radius R2, which has its center connected to a spring of stiffness k, and rolls on a fixed rack. For no slippage between pinions and racks, demonstrate that this system has one DOF, formulate its mathematical model, and determine its natural frequency. Rotating pinion mi Translating rack R m Guide m2 Rolling pinion Anchor [ Fixed rack FIGURE 3.51 Mechanical System With Pinions and Racks.
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution