We'll use Newton's second law:
, 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:
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.
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.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Barwick's class at UCI.