Maximizing Acceleration in Circular Motion: Understanding Loop Dynamics

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In circular motion, the maximum acceleration occurs at the bottom of a loop due to the combined effects of centripetal force and gravity. For a vertical loop, the particle must exert additional upward thrust to counteract gravitational force, resulting in increased acceleration. This principle explains why objects, such as a bag swung vertically, experience the greatest tension at the bottom of the swing, making them more likely to break. Understanding these dynamics is crucial for analyzing forces in various loop designs. Acceleration in circular motion is fundamentally influenced by the loop's orientation and the forces acting on the particle.
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If a particle moves inside a loop then when is it's acceleration at a maximum? ie in a loop the loop
 
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What kind of loop? If it's a circle, the acceleration is constant.
 
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Do you mean In a loop-d-loop? like a plane flying in a vertical circle?
In this case, there is also gravity to consider. The acceleration toward the centre of the circle must always be the same, so when the plane is at the bottom of the loop, it must create more upward thrust to cancel out the force due to gravity.
This is why if you swing a bag round (vertically), it is most likely to break at the bottom of the swing, since the tension is greatest at this point.
 
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