Question

Two point particles are attached to each other via a light in-extensible string that passes over a ring hanging from the ceiling via a chain. Find an expres- sion for the tension in the string and the chain.​

Answer 1

a. The expression for the tension in the string is T = mg

b. The expression for the tension in the chain is T = 2mg

To solve the problem, we need to know what tension is.

What is tension?

This is the opposing force in a stretched material.

a. Tension in the string

The expression for the tension in the string is T = mg

Since the string supports the weight of the object, the tension in the string equals the weight of the particle.

Let

• T = tension in sring and
• W = weight of particle = mg where
• m = mass of particle and
• g = acceleration due to gravity

So, T = W

T = mg

So, the expression for the tension in the string is T = mg

b. Tension in chain

The expression for the tension in the chain is T = 2mg

Since the chain supports both strings, the tension in the chain equals the tension in both strings.

Let

• T' = tension in chain and
• T = tension in each string

So, T' = T + T

T' = 2T

T' = 2W

T' = 2mg

So, the expression for the tension in the chain is T = 2mg

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