# Problem: In the previous parts, you obtained the following equations using Newton's 2nd law and the constraint on the motion of the two blocks:m2a2x=T−m2gsin(θ),(1)m1a1y=T−m1g,(2)anda2x=−a1y.(3)Solve these equations to find a1y.Before you enter your answer, make sure it satisfies the special cases you already identified:a1y=−g if m2=0 anda1y=0 if m1=m2 and θ=π/2.Also make sure that your answer has dimensions of acceleration.Express a1y in terms of some or all of the variables m1, m2, θ, and g.

###### FREE Expert Solution

We'll use Newton's second law:

$\overline{){\mathbf{\Sigma }}{\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$, where ΣF is the total force, m is the mass of the object, and a is the acceleration.

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###### Problem Details

In the previous parts, you obtained the following equations using Newton's 2nd law and the constraint on the motion of the two blocks:

m2a2x=Tm2gsin(θ),(1)

m1a1y=Tm1g,(2)

and

a2x=−a1y.(3)

Solve these equations to find a1y.

a1y=−g if m2=0 and

a1y=0 if m1=m2 and θ=π/2.