Question:

Two blocks of masses $2.9\, kg$ and $1.9 \,kg$ are suspended from a rigid support $S$ by two inextensible wires each of length $1 \,m$ (figure). The upper wire has negligible mass and the lower wire has a uniform mass of $0.2\, kg/m$. The whole system of blocks, wires and support have an upward accelration of $ 0.2\,m/s^{2} $ . The tension at the mid-point of the upper wire is

Updated On: Aug 1, 2022
  • 20 N
  • 30 N
  • 40 N
  • 50 N
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The Correct Option is D

Solution and Explanation

The tension at $A =\left(m_{1}+m_{2}\right)(g+a)$ $=(2.9+1.9)(9.8+2)=50\, N$
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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