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TS EAMCET · Physics · Laws of Motion

Three blocks are connected by massless strings on a frictionless inclined plane of \(30^{\circ}\) as shown in the figure. A force of \(104 \mathrm{~N}\) is applied upward along the incline to mass \(m_3\) causing an upward motion of the blocks. What is the acceleration of the blocks? (Assume, acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )

  1. A \(6.0 \mathrm{~m} / \mathrm{s}^2\)
  2. B \(4.5 \mathrm{~m} / \mathrm{s}^2\)
  3. C \(3.0 \mathrm{~m} / \mathrm{s}^2\)
  4. D \(1.5 \mathrm{~m} / \mathrm{s}^2\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1.5 \mathrm{~m} / \mathrm{s}^2\)

Step-by-step Solution

Detailed explanation

The given situation is shown in the figure below, If the system moves upward with acceleration \(a \mathrm{~m} / \mathrm{s}^2\) on the application of \(104 \mathrm{~N}\), then the equation of motion for \(8 \mathrm{~kg}\) block is…
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