Centripetal Forces

While the bob is moving in the circular motion, the centripetal force that is provided is the spring. The spring causes the bob to get pulled inward and while it is being pulled inward while being rotated it provides a centripetal force. If this force was suddenly removed, the Bob would still have a centripetal force due to the rope in which it hangs from causing the inward force to keep moving in a circle. But if the forces are removed than its inertia would keep it moving in a straight line at constant speed. According to Newton’s first law, is all force’s were removed the bob would move with constant velocity, which could be zero, and zero acceleration. This is consistent with if the Bob had no forces acting upon it.

According to the equation F= m4р2R/T2, if everything remained constant while the mass increased, the centripetal force required to move in a circle motion would be higher due to the fact the mass increased. If the mass was doubled than the Force would be doubled as well due to the fact that mass is directly proportional to the centripetal force. Same thing applies if speed increases while everything else is constant, than the centripetal force increases as well, but not the same amount. By doubling the speed, the centripetal force increases by 4 times.

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