COMEDK · Physics · 5. Laws of Motion

A mass of \(10 \mathrm{~kg}\) is suspended from a spring balance. It is pulled a side by a horizontal string, so that it makes an angle of \(60^{\circ}\) with the vertical. The new reading of the balance is

A \(20 \mathrm{~kg}\)-wt
B \(10 \mathrm{~kg}-\mathrm{wt}\)
C \(10 \sqrt{3} \mathrm{~kg}\)-wt
D \(20 \sqrt{3} \mathrm{~kg}-\mathrm{wt}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(20 \mathrm{~kg}\)-wt

Step-by-step Solution

Detailed explanation

Given, mass suspended from spring balance, \(m=10 \mathrm{~kg}\) \[ \theta=60^{\circ} \] The given situation is shown below From the diagram, reading of spring balance, \(F_{s}=T\) Since, \(T \cos \theta=m g\) \[ T=\frac{m g}{\cos \theta} \] From Eqs, (i) and (ii) we get…

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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