Consider a motor driven by an external torque T(t) da (1) dt Given the harmonic input torque given by T COS(₁1), J + bw (1) = T (1). T(1) = T_ cos the particular solution is given by Acos(@, 1+4). Find the amplitude, A. Let J = 63 kg-m^2, b = 20 kg-m^2-s, To= 115 N-m, and w, 32 rad/s. Do not include units. Use scientific notation with three significant figures. @(1) = Acos(@_t+

Consider the gear train below where Gear D has 80 teeth and Gear A is spinning with 600 rpm. D 60 teeth the A 40 teeth 20 teeth a. What is the speed of Gear D? We want to adjust the gear train. We can only change out Gear C for a different sized gear. Gear A will continue spinning with 600 does our new Gear C need to have so that Gear D b. How many teeth rpm. spins with 200 rpm? B.

Two mating 12-pitch gears have 18 external and 48 internal teeth, respectively. Determine the following: Their pitch diameters. • The center distance.

Q4/ Figure show an epicyclic gear train. Gear A has 20 teeth, gear B has 22 teeth, and gear C has 15 teeth. Gear B and C is a compound gear. If gear E is fixed and gear A rotates at 1000 rpm, find the speed of arm and number of teeth for gear E. B A