Question:

Two bodies $A$ and $B$ of masses $10 \,kg$ and $15\, kg$ respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If T represents the tension in the string when a horizontal force $F=500 \,N$ is applied to $A$ (as shown in figure $1$) and $T$ be the tension when it is applied to $B$ (figure $2$), then which of the following is true?

Updated On: Sep 1, 2024
  • $ T=T=500\,N $
  • $ T=T=250\,N $
  • $ T=200\,N,T=300\,N $
  • $ T=300\,N,T=200\,N $
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The Correct Option is D

Solution and Explanation

For the first case acceleration $a=\frac{F}{m_{1}+m_{2}}$

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Concepts Used:

Tension

A force working along the length of a medium, especially if this force is carried by a flexible medium like cable or rope is called tension.  The flexible cords which bear muscle forces to other parts of the body are called tendons.

Net force = 𝐹𝑛𝑒𝑡 = 𝑇−𝑊=0,

where,

T and W are the magnitudes of the tension and weight and their signs indicate a direction, be up-front positive here.

Read More: Tension Formula