First slide

Two block problem

Question

A block A with mass 100 kg is resting on another block B of mass 200 kg. As shown in figure a horizontal rope tied to a wall holds it.The coefficient of friction between A and B is 0.2 while coefficient of friction between B and the ground is 0.3. The minimum required force F to start moving B will be

Difficult

A

900 N
B

100 N
C

1100 N
D

1200 N

Solution

F = $f_{AB} + f_{BG}$
= $μ_{AB} m_{a} g + μ_{BG} (m_{A} + m_{B}) g$
= 0.2 $\times 100 \times 10 + 0.3 (300) \times 10$
= 200 + 900 = 1100 N

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