Question:

Two blocks of masses 8 kg and 5 kg are connected with a rod of mass 3 kg (see figure). The upper block is pulled up with a force of 180 N. The tension in the rod in contact with the upper block is

Updated On: Aug 13, 2024
  • 22.5 N
  • 45 N
  • 90 N
  • 180 N
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The Correct Option is C

Solution and Explanation

Let the acceleration of the system be a Then (8 + 3 + 5) a = 180 - 16 $\times$ 10 = 20 That is, $a = \frac{20}{16} = \frac{5}{4} m/s$ Tension at P = (3 + 5) $\times$ (g + a) = (3 + 5) $\left( 10 + \frac{5}{4} \right) = 90 \, N$
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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