AP EAMCET · PHYSICS · Motion In Two Dimensions

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 $=10 \mathrm{~ms}^{-2}$ )

A $3.5 \mathrm{~ms}^{-2}$
B $4.9 \mathrm{~ms}^{-2}$
C $7.5 \mathrm{~ms}^{-2}$
D $6.9 \mathrm{~ms}^{-2}$

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Answer & Solution

Correct Answer

(B) $4.9 \mathrm{~ms}^{-2}$

Step-by-step Solution

Detailed explanation

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, $\mathrm{a}=\frac{\mathrm{mg} \sin 30^{\circ}}{\mathrm{m}}=\mathrm{g} \sin 30^{\circ}=4.9 \mathrm{~m} / \mathrm{s}^2$

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

When a body is in

S H M

, then match the following.

$List - I$		$List - II$
$(A)$	Velocity is maximum	$(I)$	Acceleration is maximum
$(B)$	$KE$ is ${(\frac{3}{4})}^{th}$ of total energy	$(II)$	At mean position
$(C)$	$PE$ is ${(\frac{3}{4})}^{th}$ of total energy	$(III)$	At half of the amplitude
$(D)$	Acceleration is maximum	$(IV)$	At $\frac{\sqrt{3}}{2}$ times the amplitude

AP EAMCET 2019 Easy

When the load applied to a wire is increased from 5 kg wt to 8 kg wt , the elongation of the wire increases from 1 mm to 1.8 mm . The work done during the elongation of the wire is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

AP EAMCET 2024 Easy

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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 \(=10 \mathrm{~ms}^{-2}\) )

Answer & Solution

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