Q.

Two masses A and B of 5 kg and 6 kg respectively are connected by a string passing over a frictionless pulley fixed at the corner of table as shown in the figure. The coefficient of friction between A and the table is 0.3. Find the minimum mass of C (in kg) that must be placed on A to prevent it from moving (Take g = 10 m/s2).

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answer is 15.

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Detailed Solution

T=60NT=μN( To prevent A from moving )T=μ(50+10m)⇒μ(50+10m)=60⇒50+10m=600.3=200⇒m=15kg
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Two masses A and B of 5 kg and 6 kg respectively are connected by a string passing over a frictionless pulley fixed at the corner of table as shown in the figure. The coefficient of friction between A and the table is 0.3. Find the minimum mass of C (in kg) that must be placed on A to prevent it from moving (Take g = 10 m/s2).