HW249

The diagram represents the top view of a speed reducer which is geared for a four to one reduction in speed. The torque input at the horizontal shaft $C$ is 100 lb·ft. The torque output at the horizontal shaft $D$, because of the speed reduction, is 400 lb·ft.

Compute the torque reaction at the mounting bolts $A$ and $B$ holding the reducer to the floor.

Hint: The torque reaction is caused by the unbalanced torque, which is a couple.

diagram