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  4. Two masses A and B of 10kg and 5kg respectively, are connected with a string passing over a frictionless pulley fixed at the corner of a table as shown in the figure. 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 <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-xtffionf1vemjc6s.jpg />

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Q. Two masses $A$ and $B$ of $10kg$ and $5kg$ respectively, are connected with a string passing over a frictionless pulley fixed at the corner of a table as shown in the figure. 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
Question

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
Since the given system is in equilibrium, therefore, tension in the string is 5g.
When we consider the combination of A and C, then
$T=\mu R$
$or \, \, \, T=0.2 \, \left[10 + m a s s \, o f \, C\right]g$
$or \, \, \, 5g=0.2 \, \left[10 + m a s s \, o f \, C\right]g$
Or mass of $C=15kg$