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.

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

*m*2*a*2*x*=*T*−*m*2*g*sin(*θ*),(1)

*m*1*a*1*y*=*T*−*m*1*g*,(2)

and

*a*2*x*=−*a*1*y*.(3)

Solve these equations to find *a*1y.

Before you enter your answer, make sure it satisfies the special cases you already identified:

*a*1*y*=−*g* if *m*2=0 and

*a*1*y*=0 if *m*1=*m*2 and *θ*=*π*/2.

Also make sure that your answer has dimensions of acceleration.

Express *a*1y in terms of some or all of the variables *m*1, *m*2, *θ*, and *g*.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Newton's First & Second Laws concept. You can view video lessons to learn Newton's First & Second Laws. Or if you need more Newton's First & Second Laws practice, you can also practice Newton's First & Second Laws practice problems.

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