1. Express the angular resonant frequency for each of the undamped mechanical oscillating systems below:

Vibration

For the mechanism shown below, use the graphical position analysis to specify the value(s) of 02 when the linear speed of link 6 is zero. The parameters of each link length is: L2 = 3 cm, L3 =10 cm (O₂B), L5 = 4 cm, L σ₂³ = 5 cm. ////////////////// 5 B 4 0₂ 2 3 A₂ on 2 and 4 A3 on 3 10.5 cm

Derive the governing differential equation for each system with the chosen generalized coordinate. SEE THE IMAGE BELOW Answers: 1. GDE: (5/2) mẍ + (5/4) kx = 0 2. GDE: (7/48) mL² ϴ [note: theta symbol has two dots above) + (3/8) cL² ϴ [ note: theta symbol has one dot above] + 5 kL² ϴ = 0