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The coefficent of friction between the m...

The coefficent of friction between the masses `2m` and m is 0.5. All other surfaces are frictionless and pulleys are massless. Column I given the different values of `m_(1)` and column II gives the possible acceleration of 2m and m. Match the following :

`{:(,"Column I",,"Column II",),((A),m_(1) = 2m,(P),"Accelerations of 2m and m are same",),((B),m_(1) = 3m,(Q),"Acceleration of 2m and m are different",),((C ),m_(1) = 4m,(R ),"Acceleration of 2m is greater than m",),((D),m_(1) = 6m,(S),"Acceleration of 2m is less than 0.6 g",),(,,(T),"Acceleration of 2m is greater than 0.6 g",):}`

Text Solution

Verified by Experts

The correct Answer is:
(A) = PS, (B) = PS, (C ) = QRS, (D) = QRT
`(m_(1))_("max")` to move together
`a = (m_(1)g)/(m_(1) + m + 2m) le mu g le 0.5 g`
`(1 - 0.5) m_(1) le 3m xx 0.5`
`m_(1) le 3m`
otherwise m and 2m will move with different acceleration.
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