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Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ?



  • a)
    4.9 ms–2 in vertical direction

  • b)
    9.8 ms–2 in vertical direction

  • c)
    Zero

  • d)
    4.9 ms–2 in horizontal direction

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two fixed frictionless inclined planes making an angle 30° and 60&...
mg sin θ = ma ∴ a = g sin θ where a is along the inclined plane

∴ vertical component of acceleration is g sin2 θ

∴ relative vertical acceleration of A with respect to B is  m /s2 in vertical direction
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Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ?a)4.9 ms–2 in vertical directionb)9.8 ms–2 in vertical directionc)Zerod)4.9 ms–2 in horizontal directionCorrect answer is option 'A'. Can you explain this answer?
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