The F53 chassis does not have brake assist, stability control or traction control and I'm pretty sure the rear anti lock braking is not independent for the left and right wheels as it is for the front axle. It's a pretty simple chassis without a lot of the features you'll find on you daily driver.
Accelerating up a hill will have a pretty high torque load on the differential and when turning the rear wheels will be rotating at different speeds, when all is working properly. Nothing comes to mind what might be causing the problem other than something is not right with the rear axle differential. Maybe another owner might have a more direct suggestion.
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2006 Hurricane 31D built on a 2006 Ford F53
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