First slide

Two block problem

Question

Two masses A and B of 10 kg and 5 kg respectively, are connected with a string passing over a frictionless pulley fixed at the corner of a table as shown in fig. the coefficient of friction of A with the table is 0.2. the minimum mass of C that may be placed on A to prevent it from moving is

Moderate

A

15 kg
B

5 kg
C

10 kg
D

0 kg

Solution

Since the given system is in equilibrium therefore tension in the string is 5 g.
When we consider the combination of A and C, then
$T = μR$
or $T = 0.2[10+mass of C]g$
or $5 g = 0.2 [10 + mass of C] g$
or mass of C = 15 kg

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