TS EAMCET · Physics · Laws of Motion

Two blocks of masses $1 kg$ and $2 kg$ connected by a light rod and the system is slipping down a rough incline angle $45 °$ with the horizontal. The frictional coefficient at both the contacts is $0.4$ . If the acceleration of the system is $α \sqrt{2}$ , the value of $α$ is (Use $g = 10 m s^{- 2}$ )

A $4$
B $3$
C $2$
D $6$

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Answer & Solution

Correct Answer

(B) $3$

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Detailed explanation

Frictionalforce acting on both the block will be kinetic in nature.Therefore,f1=μm1gcos45°=0.4×1×10×12=22NSimilarly,f2=μm2gcos45°=0.4×1×10×12=42NNow, net force along the incline in the downward direction will provide the required…

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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Two blocks of masses 1 kg and 2 kg connected by a light rod and the system is slipping down a rough incline angle 45° with the horizontal. The frictional coefficient at both the contacts is 0.4. If the acceleration of the system is α2, the value of α is (Use g=10 m s-2)

Step-by-step Solution