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 equal to

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 equal to

Infinity Learn · Accepted Answer

Let T $$=$$ tension in the string, f $$=$$ frictional force between block A and table, x $$=$$ minimum mass of C. For the system to be in equilibriumf $$=$$ T (for$$ block $$A) ...(1)where$$ $$f=$$μ$$mg=$$μ$$(10+x)g=0$$⋅$$2(10+x)g$$∴$$T=0$$⋅$$2(10+x)g$$      ...$$(2)For$$ the equilibrium of B,t $$=$$ $$5g$$   …$$(3)From$$ eqs. $$(2) and (3), we $$get0$$⋅$$2(10+x)g=5g$$ or $$2+0$$⋅$$2x=5$$ or $$0$$⋅$$2x=3$$ or  $$X=30$$⋅$$2=15kg$$.

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 equal to

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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 equal to

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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 equal to