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The bearing pictured above. Went to get one last week from local bearing supplies and they didnt have the same type as the original. So grabbed a standard bearing to try. Mowed the lawn today and the housing is quite hot. So would I be correct in assuming there is movement in the shaft from the clutch setup used etc and I will need to use the double roller bearing/self centering bearing type that was originally used?

My mower shop is next to the bearing shop and they dont carry bearings as they can get them next door apparantly.

Thanks