To run roughshod means to act without regard for the wellbeing of something or someone, as seen in this context where the engine is running erratically and without care.
Consider the statement "An engine on the left side of the plane began to run erratically and without regard, blasting out black smoke.". Is the statement "An engine on the left side of the plane began to run roughshod, blasting out black smoke." false? Yes/no/unknown