A block of mass m is attached with a massless spring of force constant k. The block is placed over a rough inclined surface for which the coefficient of friction is μ=3/4.. The minimum value of M required to move the block up the plane is (neglect mass of string and pulley and friction is pulley).
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a
35m
b
45m
c
2m
d
32m
answer is A.
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Detailed Solution
mgsinθ=35mgfmax=μmgcosθ=3445mg=35mgfmax=mgsinθ=35mgBlock will move upwards when kx0=fmax+mgsinθ=65mg ……..(i)From conservation of mechanical energy Mgx0=12kx02M=kx02g=65mg2g=35m