The drawing shows three objects. They are connected by stringsthat pass over mas

Question

The drawing shows three objects. They are connected by stringsthat pass over massless and friction-free pulleys. The objectsmove, and the coefficient of kinetic friction between the middleobject and the surface of the table is 0.144. (a)What is the acceleration of the three objects? (b)Find the tension in the string attached to the 25.0 kg object.(c) Find the tension in the string attached to the10.0 kg object.

Explanation / Answer

Mass of block on the table is missing in the question , sothat i have taken it as 'M'. m1 = 10kg m2 = 25 kg = 0.144 For block 1 (m1 = 10kg) we can write         T1 - w1 =m1a For block 2 (m2 = 25kg)         w2 -T2 = m2a For block3 on the table : M       T2 - T1 -fk = M*a       T2 - T1 -* M*g = M*a From above three equations we can write       ==> a = [ (w2 - w1) - Mg ]/ [M+m1+m2]                 b)                     T2 = w2 -m2a (substitute value of 'a' from above) c)    T1 = m1a + w1

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