I am attempting to solve a rolling without slipping problem but I am having a very difficult time getting the correct answer. A force is being applied to the object at an angle of 37^o above the horizontal and I am trying to find the maximum value of |F| for the object to roll without slipping. There is static friction present on the ground. I think my mistake lies in setting up the net torque. Does the force F contribute to the net torque? I know that the friction force does. Will I cross r into F at 37^o?

It depends where on the object that force is being applied.