TS EAMCET · Physics · Laws of Motion

A steel wire can withstand a load up to \(2940 \mathrm{~N}\). A load of \(150 \mathrm{~kg}\) is suspended from a rigid support. The maximum angle through which the wire can be displaced from the mean position, so that the wire does not break when the load passes through the position of equilibrium, is

A \(30^{\circ}\)
B \(60^{\circ}\)
C \(80^{\circ}\)
D \(85^{\circ}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(60^{\circ}\)

Step-by-step Solution

Detailed explanation

Now, at \(B\) In equilibrium, \[ \begin{array}{rlrl} & & T \cos \theta & =m g \\ \Rightarrow & & \cos \theta & =\frac{150 \times 9.8}{2940} \\ \Rightarrow & & \cos \theta & =0.5 \\ \Rightarrow & \theta & =60^{\circ} \end{array} \]

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.

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