NEET 2024 · PhysicsNormal forcePrevious Year Question
A body of mass m is kept on a rough horizontal surface (coefficient of friction μ). A horizontal force is applied but the body does not move. The magnitude of the resultant F of the normal reaction and the frictional force satisfies:
Answer: (A) mg ≤ |F| ≤ mg√(1+μ²). Correct Answer (A) Solution: N = mg; friction f = applied force, 0 ≤ f ≤ μmg.
- A.mg ≤ |F| ≤ mg√(1+μ²)✓
- B.|F| = mg
- C.|F| = μmg
- D.|F| = mg√(1+μ²)
Correct Answer
(A) mg ≤ |F| ≤ mg√(1+μ²)
Solution & Explanation
Correct Answer (A) Solution: N = mg; friction f = applied force, 0 ≤ f ≤ μmg. Resultant R = √(N²+f²). Minimum (f=0): mg. Maximum (f=μmg): mg√(1+μ²). So mg ≤ |F| ≤ mg√(1+μ²).
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