Two blocks A and B of masses mA = 1 kg and mB = 3 kg are kept on the table as shown in figure. The coefficient of friction between A and B is 0.2 and between B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontally, so that the block A does not slide over the block B is : (Take g = 10 m/s2)

Engineering

Physics

Static and Kinetic Friction

Question

Two blocks A and B of masses m_A = 1 kg and m_B = 3 kg are kept on the table as shown in figure. The coefficient of friction between A and B is 0.2 and between B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontally, so that the block A does not slide over the block B is : (Take g = 10 m/s²)

12 N

16 N

8 N

40 N

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MA = 1 kg, MB = 3 kg

μ_AB = 0.2

m_B = 0.2

F_max = (M_A + M_B) × 0.2 × 10 + (M_A + M_B) × 0.2 × 10

= 4 × 2 + 4 × 2 = 16