Newton's First & Second Laws Video Lessons

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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:

ΣF=ma, 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.

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

a1y=−g if m2=0 and

a1y=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.

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Based on our data, we think this problem is relevant for Professor Barwick's class at UCI.