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AIIMS 2009
Exam
AIIMS
Year
2009
Subject
Physics
Chapter
Laws of Motion

AIIMS 2009 · Physics · Laws of Motion

Three equal weights of 3 ~kg each are hanging on a string passing...

Three equal weights of 3 kg3 \mathrm{~kg} each are hanging on a string passing over a frictionless pulley as shown in figure. The tension in the string between masses II and III will be (Take g=10 m/sec2g=10 \mathrm{~m} / \mathrm{sec}^2 ) Three equal weights of 3 ~kg each are hanging on a string passing over a frictionless pulley as shown in figure. The

Options

  1. A5 N5 \mathrm{~N}
  2. B6 N6 \mathrm{~N}
  3. C10 N10 \mathrm{~N}
  4. D20 N20 \mathrm{~N}

Correct answer

D. 20 N20 \mathrm{~N}

Step-by-step solution

Three equal weights of 3 kg3 \mathrm{~kg} each are hanging on a string passing over a pulley as shown in figure. If aa is the common acceleration. T−3g=3aT-3 g=3 a (For mass I) 3g+T1−T=3a3 g+T_1-T=3 a (For mass II) 3g−T1=3a3 g-T_1=3 a (For mass III) Adding, above three equations 3g=9a,a=g/3T1=3g−3a=3g−g=2g=20 N\begin{aligned} & 3 g=9 a, a=g / 3 \\ & T_1=3 g-3 a=3 g-g=2 g=20 \mathrm{~N}\end{aligned} Three equal weights of 3 ~kg each are hanging on a string passing over a frictionless pulley as shown in figure. The
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