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Question: Answered & Verified by Expert
An object of mass $3 \mathrm{~kg}$ is tied by a string of negligible mass to a ceiling and held such that the string is taut. The object is released suddenly such that the string remains taut. It's acceleration when released is (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

PhysicsMotion In Two DimensionsAP EAMCETAP EAMCET 2022 (05 Jul Shift 2)
Options:
  • A $3.5 \mathrm{~ms}^{-2}$
  • B $4.9 \mathrm{~ms}^{-2}$
  • C $7.5 \mathrm{~ms}^{-2}$
  • D $6.9 \mathrm{~ms}^{-2}$
Solution:
1272 Upvotes Verified Answer
The correct answer is: $4.9 \mathrm{~ms}^{-2}$


When object is released, net force acting on it is $\mathrm{mg}$ $\sin 30^{\circ}$ as shown, because $\mathrm{T}=\mathrm{mg} \cos 30^{\circ}$
So, $\mathrm{a}=\frac{\mathrm{mg} \sin 30^{\circ}}{\mathrm{m}}=\mathrm{g} \sin 30^{\circ}=4.9 \mathrm{~m} / \mathrm{s}^2$

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