For the system shown below the disks represent circular gears (with moments of inertia 1 and 1 about their centers), and the mass m a rack (which translates in the horizontal direction). There are torsional springs k, k and k3 that support the two gears. How many DOF does this system have? Is this mechanical system conservative or nonconservative, and why? Find the differential equation(s) of motion using analytical mechanics. There is an external moment M (t) applied to gear 2. m Rack M(t) 1 R Gear 1 Gear 2 R For the system shown below the disks represent circular gears (with moments of inertia 1 and 1 about their centers), and the mass m a rack (which translates in the horizontal direction). There are torsional springs k, k and k3 that support the two gears. How many DOF does this system have? Is this mechanical system conservative or nonconservative, and why? Find the differential equation(s) of motion using analytical mechanics. There is an external moment M (t) applied to gear 2. m Rack M(t) 1 R Gear 1 Gear 2 R