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What is the acceleration of the block a...

What is the acceleration of the block and trolley system shown in a Fig.(a), if the coefficient of kinetic friction between the trolley and the surface is 0.04? What is the tension in the string? (Take g =` 10 m s^(-2)` ). Neglect the mass of the string.

Text Solution

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Free body diagram of the block
30 - T = 3a ...(1)
Free body diagram of the trolley
` T - f_k = 20a` ....(2)
Solving (1) and(2) , `a = 0.96 m//s^2 " and " T = 27.2 N`
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