Before transitioning to the DC-8, I was both Co-Pilot and Captain on the 737-200 and -300. While Co-Pilot (they call 'em First Officers now), we called for "the equipment" on three different occasions; all precautionary. One for a bird strike; engine showed vibration and we reduced power (didn't shut it down): one for a faulty gear indication: and one for a blown tire.
The blown tire (one of the Mains - don't remember which) happened on take-off out of O'Hare for Detroit just past V1/R (about the same number on the -200). It was my leg. I tried to give it back to the Captain, but he said it was my leg and to "take care of it!" [We knew each other very well] There was some slight shaking of the aircraft, but no big deal. We continued the take-off (left the gear out), notified the Tower, and after "consulting with the Company", continued on to DTW where a normal landing was made.
No big deal really with ONE blown tire. That's why there's two or more.