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Two equal masses (1 and 2) are connected by the rope across a pulley and placed

ID: 2119168 • Letter: T

Question

Two equal masses (1 and 2) are connected by the rope across a pulley and placed on the larger block A as shown on the picture. Find the minimal acceleration a of the block A along the horizontal so that masses 1 and 2 remain stationary with respect to the block A. Coefficient of kinetic friction between each of the masses and block A is mu, rope is massless and non-stretchable.


Picture here: http://i45.tinypic.com/dzw0sz.jpg


Please explain clearly. I got a = m2g / mu (m1 + mass of block A) but am unsure if it is correct. Thanks.

Explanation / Answer

from force diagram of body 1,
N1=mg
ma=T+uN1

from force diagram of body 2,

N2=ma

mg=T+uN2

Solving we get,

a=g(1+u)/2

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