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If the tension in the string in the figu...

If the tension in the string in the figure. Is 16 N and the acceleration of each block is `0.5 m/s^2`, find the friction coefficients at the two contacts with h blocks.

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From the free body diagram
`mu_1R+1-16=0`

`rarrmu_1(2g)+(-15)=0`
`rarr mu_1=15/20=0.75`
Again `mu_2R_1+4xx0.5=16-4g`
`sin30^0=0 `
`mu_2(20sqrt3)+2+16-20=0`
`rarr mu_2=2/20 sqrt3=1/17.32`
`0.057=0.06
Hence co efficients of friction `mu_1=0.75 and mu_2=006`
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