Is Centripetal Force the Only Force in Space-Based Circular Motion?

AI Thread Summary
In a space-based circular motion scenario without gravity, centripetal force is the only force acting on an object in uniform circular motion. This force serves as the net force required to maintain the circular path. However, in a lab setting where gravity is present, the tension in the string must be considered alongside gravitational force, leading to a more complex interaction of forces. In such cases, both horizontal and vertical forces must be analyzed to accurately determine the centripetal force. Ultimately, the context of the experiment significantly influences the forces at play.
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I'm doing a lab, and I need to determine the centripetal force of a ball tethered to a string, rotating around at a constant acceleration horizontally. In this instance, is the only force in the problem the centripetal force, in which case would also be the net force, or is there also a normal force pushing in the opposite direction from the center? Assume this is done in space and gravity does not play any role, etc.
 
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Yes, centripetal force is the only force if you are in space with no gravity.

If it is the lab I remember where you measure the tension in the string to deduce the centripetal force formula, gravity does play an important role. Fg causes the ball to angle downward from horizontal and you work with both horizontal and vertical forces to figure it all out.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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