Three blocks of unknown mass m1, m2=2.0 kg, and m3 = 3.0 kg are on a frictionless horizontal surface as shown on the figure below.

Three blocks of unknown mass m1, m2=2.0 kg, and m3 = 3.0 kg are on a frictionless horizontal surface as shown on the figure below. The blocks are connected by ideal, massless strings. A force FL=11 N is applied to the left block and is directed to the left. A force FR=33 N is applied to the right block, and is directed to the right. The tension T12 in the string between m1 and m2 is 13 N and the tension T23 in the string between m2 and m3 is not known. (a) What is the acceleration of the system? (b) What is the tension T23 in the string between m2 and m3? (c)What is unknown mass m1?

Solutions

Expert Solution

a=(F₂ -f₁)/(m+2+3)

a=22/(m+5) (eqn 1)

for block m1

a=(13-11)/m (eqn 2)

equating egn 1 and 2

m = 0.5 km

puting m in eqn 2

a = 4m/s²

for mass m2

F=m*a

(t₂₃ -13) = 2*4

t₂₃ = 21 KN

genius_generous answered 1 year ago

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