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Tension in a String

A block of ma...

Question

A block of mass $1 k g$ is suspended by a string of mass $1 k g$ length $1 m$ as shown in figure. Find the tension at the lowest point of the string and force exerted by support on the string.
(Take $g = 10 m / s^{2}$ )

10 N, 20 N

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15 N, 10 N

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15 N, 20 N

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20 N, 15 N

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Solution

The correct option is A $10 N, 20 N$
Let $m_{b}$ and $m_{s}$ be the mass of the block and mass of the string respectively.

Tension at lowest point i.e. at A,
$T_{A} = m_{b} g = 1 \times 10 = 10 N$
Force exerted by the support will be the tension in the string at point B,
$T_{B} = m_{b} g + m_{s} g = 1 \times 10 + 1 \times 10 = 20 N$

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