Two blocks of masses m and M are placed on a horizontal surface. The coefficient of friction between two blocks is μ1 and that between the block M and horizontal surface is μ2. The maximum force that can be applied to block M so that the two blocks move without slipping is F=(μ1+μ2)(M+m)g
Statement - II:
F=Total maximum acceleration
Statement1 is True, Statement2 is True; Statement2 is a correct explanation for Statement1
Statement1 is True, Statement2 is True; Statement2 is NOT a correct explanation for Statement1
Statement1 is True, Statement2 is False
Statement1 is False, Statement2 is True
A
Statement1 is True, Statement2 is False
B
Statement1 is True, Statement2 is True; Statement2 is a correct explanation for Statement1
C
Statement1 is True, Statement2 is True; Statement2 is NOT a correct explanation for Statement1
D
Statement1 is False, Statement2 is True
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Solution
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Friction between m and M,f=μ1mg and between M and surface, f′=μ2(M+m)g ∴ For system to have acceleration a net force F=(M+m)a+μ2(M+m)g
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Q1
Statement - I :
Two blocks of masses m and M are placed on a horizontal surface. The coefficient of friction between two blocks is μ1 and that between the block M and horizontal surface is μ2. The maximum force that can be applied to block M so that the two blocks move without slipping is F=(μ1+μ2)(M+m)g
Statement - II:
F=Total maximum acceleration
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Q2
A block of mass m is placed on another block of mass M which itself is lying on a horizontal surface. The coefficient of friction between two blocks is μ1 and that between the block of mass M and horizontal surface is μ2. What maximum horizontal force can be applied to the lower block so that the two blocks move without separation?
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Q3
A block of mass m is placed on another block of mass M which itself is lying on a horizontal surface. The coefficient of friction between two blocks is μ1 and that between the block of mass M and horizontal surface is μ2. What maximum horizontal force can be applied to the lower block so that the two blocks move without separation?
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Q4
A block of mass m is placed on another block of mass M, which itself is lying on a horizontal surface. The coefficient of friction between the two blocks is μ1 and that between the block of mass M and the horizontal surface is μ2. What maximum horizontal force can be applied to the lower block so that the two blocks move without separation?
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Q5
A block of mass m is placed on another block of mass M, which itself is lying on a horizontal surface. The coefficient of friction between the two blocks is μ1 and that between the block of mass M and the horizontal surface is μ2. What maximum horizontal force can be applied to the lower block so that the two blocks move without separation?