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  4. A block of mass M=8 kg is connected to an empty bucket of mass 1 kg by a massless cord running over an ideal pulley . The coefficients of static and kientic friction between table top and block are 0.5 and 0.4 respectively. Sand is gradually added to the bucket until the block just being to slide. The mass of sand added is: (g=10 m / s 2)

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Q. A block of mass $M=8 \,kg$ is connected to an empty bucket of mass $1\, kg$ by a massless cord running over an ideal pulley . The coefficients of static and kientic friction between table top and block are $0.5$ and $0.4$ respectively. Sand is gradually added to the bucket until the block just being to slide. The mass of sand added is : $\left(g=10\, m / s ^{2}\right)$Physics Question Image

Laws of Motion

Solution:

For $8 \,kg$ block,
image
$T = f _{ L }=0.5 \times 8 \,g$
and for bucket, $2 T = mg$
$\therefore m =8\, kg$
mass of sand added $=7 \,kg$