NEET2014Physics-Friction
NEET 2014 Physics Pulley Systems MCQ Question
Type: MCQ-numerical-Hard-Class 11
A system consists of three masses m₁, m₂ and m₃ connected by a string passing over a pulley P. The mass m₁ hangs freely and m₂ and m₃ are on a rough horizontal table (the coefficient of friction = μ). The pulley is frictionless and of negligible mass. The downward acceleration of mass m₁ is (Assume m₁ = m₂ = m₃ = m)
A
g(¹⁻ gμ)/9
B
2gμ/3
C
g(1 - 2μ)/3
D
g(1 - 2μ)/2
Correct Answer
Option C
Detailed Explanation
Using Newton's second law and considering the forces acting on each mass, the net force on m₁ is m₁g - T, and for m₂ and m₃, the frictional force is μmg. Solving the system of equations gives the acceleration as g(1 - 2μ)/3.
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