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Two blocks A and B are connected to each...

Two blocks `A` and `B` are connected to each other by a string and a spring , the string passes over a frictionless pulley as shown in the figure. Block `B` slides over the horizontal top surface of a stationary block `C` and the block A slides along the vertical side of `C`, both with the same uniform speed. The coefficient of friction between the surface and blocks is `0.5 K = 2000 N//m`. If mass of `A` is `2 kg` calculate mass of `B`.
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Text Solution

Verified by Experts

The correct Answer is:
`4`
Normal reaction between blocks `A` and `C` will be zero. Therefore, there will be no friction between them. Both `A` and `B` are moving with uniform speed. Therefore, net force on them should be zero For equilibrium of `A : m_(A) g = kx`
`:. x = (m_(A)g)/(k)=((2)(10))/(2000) = 0.01m`
For equilibrium of `B` , `mu m_(B) g = T = kx = m_(A) g`
`:. m_(B) = (m_(A))/(mu) = (2)/(0.5) = 4kg`.
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