Tension in a chain with circular motion

Thread starter Pushoam
Start date Jul 20, 2017
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Chain Circular Circular motion Motion Tension

In summary, tension in a chain with circular motion is the force exerted by the chain towards the center of the circular motion to keep it taut. It is calculated using the centripetal force equation and is influenced by factors such as mass, velocity, radius, and external forces. Increasing the velocity increases the tension, and the tension can never be zero due to the weight of the chain.

Jul 20, 2017

Pushoam

Homework Statement

Homework Equations

The Attempt at a Solution

What I know is tension is same in magnitude at all points of the chain along tangential direction due to the symmetry of the system.
But how to find it out?[/B]

Last edited: Jul 20, 2017

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Jul 20, 2017

Hiero

Consider all the forces acting on a small piece of the chain, which subtends a differential angle.
(What is the mass, acceleration, and acting forces on this piece?)

FAQ: Tension in a chain with circular motion

What is tension in a chain with circular motion?

Tension in a chain with circular motion refers to the force exerted by the chain as it moves in a circular path. This force is directed towards the center of the circular motion and is responsible for keeping the chain taut.

How is tension in a chain with circular motion calculated?

Tension in a chain with circular motion can be calculated using the centripetal force equation: T = (mv^2)/r, where T is tension, m is the mass of the chain, v is the velocity of the chain, and r is the radius of the circular motion. This equation takes into account the force required to keep the chain moving in a circular path.

What factors affect the tension in a chain with circular motion?

The tension in a chain with circular motion is affected by several factors, including the mass of the chain, the velocity of the chain, the radius of the circular motion, and any external forces acting on the chain. These factors can impact the amount of force needed to keep the chain taut and the overall tension experienced by the chain.

What happens to the tension in a chain with circular motion if the velocity is increased?

If the velocity of the chain in circular motion is increased, the tension in the chain will also increase. This is because as the speed increases, so does the centripetal force required to keep the chain moving in a circular path. Therefore, the tension in the chain must also increase to compensate for this increase in force.

Can the tension in a chain with circular motion ever be zero?

No, the tension in a chain with circular motion cannot be zero. This is because there must always be some force exerted on the chain to keep it moving in a circular path. Even if the velocity is zero, there will still be some tension in the chain due to the weight of the chain itself. Therefore, the tension in a chain with circular motion is always present, even if it is very small.