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Laws of Motion question

2003 · Q156
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Laws of Motion question

2003 · Q156

NEETPhysicsLaws of MotionMCQ+4 / −1
A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the rope ? (g = 10 m/s2)
  1. A
    5 m/s2
  2. B
    10 m/s2
  3. C
    25 m/s2
  4. D
    2.5 m/s2
View written solutionFree

Correct answer: D

T = Tension caused in string by monkey

= m (g + a)

T≤25×10⇒20(10+a)≤250T \le 25 \times 10 \Rightarrow 20\left( {10 + a} \right) \le 250T≤25×10⇒20(10+a)≤250

⇒10+a≤12.5 \Rightarrow 10 + a \le 12.5⇒10+a≤12.5

⇒a≤2.5 \Rightarrow a \le 2.5⇒a≤2.5

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