The three objects in the drawing are connected by strings that pass over massles

Question

The three objects in the drawing are connected by strings that pass over massless and friction-free pulleys. The objects move, and the coefficient of kinetic friction between the middle object and the surface of the table is 0.100. (Assume

m1 = 11.1 kg

and

m2 = 27.5 kg.)

The three objects in the drawing are connected by strings that pass over massless and friction-free pulleys. The objects move, and the coefficient of kinetic frictian between the middle object and the surface of the table is 0.100. (Assume m1= 11.1 kg and m2 = 27.5 kg.) 80.0 kg m, m2 (a) What is the acceleration of the three objects? (b) Find the tension in each of the two strings. Ti (left) T2 (right)

Explanation / Answer

m2g-T2=m2a

Or, 27.5*9.8 - T2=27.5a

Or , 269.6-T2=27.5a...(i)  

T2-T1-0.1*80*9.8=80a

Or, T2-T1-78.4=80a...(ii)

T1-m1g=m1a

T1-108.78=11.1a...(iii)

Solving the three equations we get

a=0.695 m/s2

T1 = 116.49 N

T2=250.49 N

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