Two bodies of masses `m` and `4m` are attached to a light string as shown in figure. A body of mass m hanging from string is executing oscillations with angular amplitude `60^@`, while other body is at rest on a horizontal surface. The minimum coefficient of friction between mass `4m` and the horizontal surface is (here pulley is light and smooth) A. `(1)/(4)`B. `(1)/(3)`C. `(1)/(2)`D. `(2)/(3)`

Two bodies of masses `m` and `4m` are attached to a light string as sh

1.	Two bodies of masses `m` and `4m` are attached to a light string as shown in figure. A body of mass m hanging from string is executing oscillations with angular amplitude `60^@`, while other body is at rest on a horizontal surface. The minimum coefficient of friction between mass `4m` and the horizontal surface is (here pulley is light and smooth) A. `(1)/(4)`B. `(1)/(3)`C. `(1)/(2)`D. `(2)/(3)`
Answer» Correct Answer - C `h=l(1-cos 60^(@))=(1)/(2),v^(2)=2gl=gl` Now, `T_(max)-mg=(mv^(2))/(l)("at bottommost point")` `therefore" "T_(max)=2mg=mu_(s)(4mg)` `therefore" "mu_(s)=0.5`

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