First slide

Two block problem

Question

In the figure, $m_{A}$ = 3kg and $m_{B}$ = 4 kg. For what minimum value of F, A starts slipping over B:(g = 10 $m / s^{2}$ )

Moderate

A

24 N
B

56 N
C

36 N
D

20 N

Solution

maximum acceleration without slipping is 0.3 g
Total force required
0.3g( $m_{1} + m_{2}$ )+0.5( $m_{1} + m_{2}$ )g
( $m_{1} + m_{2}$ )g (0.3+0.5)
8( $m_{1} + m_{2}$ )=8(7)=56 N.

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