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Q.

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

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a

15 kg

b

5 kg

c

10 kg

d

0 kg

answer is A.

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Detailed 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, thenT = μRor T = 0.2[10+mass of C]gor  5g = 0.2[10+mass of C]gor mass of C = 15 kg
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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