The magnitude of the normal reaction that acts on the block at the point Q is- A7.5 N
- B8.6 N
- C11.5 N
- D22.5 N
View written solutionFree
Correct answer: A
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Energy conservation from top to point
The block starts from rest, so initially
Up to point , energy lost to friction is given as
From the figure, the block moves from the top of the circular track to point such that the vertical drop is the radius:
Hence loss in gravitational potential energy is
Therefore kinetic energy at is
So,
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Radial force balance at
At point , the radius is horizontal, so the inward radial direction is horizontal.
The weight acts vertically downward, hence it has no radial component at .
Friction acts tangentially, so it also has no radial component.
Therefore, the only force providing centripetal force is the normal reaction :
Substituting the values,
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Compare with options
The computed value is
This does not match any option exactly. The closest option is , but that is not equal to the calculated result.
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Comparison with stored answer
Stored correct answer is A: , which is inconsistent with the standard energy and centripetal-force analysis.
If the figure instead implies a different vertical drop, the result may change, but with the usual interpretation of point as the side point of the circular arc, the correct value is .
Since is not present in the options, the question/options likely contain an error.
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