A simple gear train is designed to transfer a constant angular velocity to a shaft which drives the crank in a four-bar crank-slider mechanism. The gear and the pin- ion in the gear train have 90 and...

Extracted text: A simple gear train is designed to transfer a constant angular velocity to a shaft which drives the crank in a four-bar crank-slider mechanism. The gear and the pin- ion in the gear train have 90 and 23 teeth, respectively. The gear has a constant an- gular velocity of (1.257) rad/s CCW. The slider is a piston that compresses air in- side a cylinder. The compressed air acts like a spring that exerts a restoring force to the slider. This equivalent spring has a stiffness of 2500 N/m and original length of 15 cm. Calculate the torque for the gear at the instant shown. The crank rotates with the same angular velocity of the shaft it is mounted on. Pay attention to the units. Given: Link 2, a = 7.5 cm Link 3, b = 25 cm 02 = 124.228° Horizontal length of the slider = 4 cm D= 31 cm R12 = 2.5 cm (Distance between CG2 and O2) R23 = 6.25 cm (Distance between CG; and A) u = 0.15 m2 = 0.5 kg m; = 1 kg m4 = 2 kg Ic2 = 2 kg.cm? IG3 = 4 kg.cm? CG3 A Equivalent Spring Gear CG2 4 cm Wg 02 d D=31 cm Pinion