$(15$ points$)$ My new e$-$bike has plenty of torque for going fast and climbing up hills. So much, that I want to limit its torque to prevent performing an unexpected wheelie. The bicycle has $27$ inch wheels, a $49$ inch wheel base, and when I am in my normal riding position, my weight is perfectly distributed between the two wheels and the center of gravity is $30$ inches off the ground. In this position, the combined mass moment of inertia around the center of gravity is $200$slug$*i{n}^2,$ and the combined weight is $190$ lbs $.$ If I stay in my normal riding position $($because leaning back and intentionally doing a wheelie would be silly$),$ what is the maximum torque the motor can apply to the rear wheel without causing the front tire to come completely off the ground?