1. Static Equilibrium Problem
50˚ A B C D E F G

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3. Class Problem: Three cylinders, each weighing 8N, are stacked in a box as shown. Determine:
The force exerted by cylinder B onto cylinder A.
The forces exerted onto cylinder B by the vertical and horizontal surfaces at D and E.
Since part a is asking for B onto A, we need to draw the FBD that shows B exerting a force on A
50˚ A B C D E F G x y
𝐹 𝑥 = 𝐹 𝐵 ∙ 𝑐𝑜𝑠 50° − 𝐹 𝐶 ∙cos⁡(50°)=0 A 8N
𝐹 𝑦 = 𝐹 𝐵 ∙sin⁡(50°)+ 𝐹 𝐶 ∙sin⁡(50°)−8𝑁=0
2x2 system of equations
𝐹 𝐵
50˚
50˚
𝐹 𝐶
𝐹 𝐵 =5.22𝑁
𝐹 𝐶 =5.22𝑁 x y
𝐹 𝐴
=5.22𝑁
Can you make a conclusion about the force of A on B based on what you determined the force of B is on A?
They are the same FB = FA
50˚ B 8N
𝐹 𝑥 =−5.22𝑁∙ 𝑐𝑜𝑠 50° + 𝐹 𝐷 =0
𝐹 𝐷 =3.36𝑁
𝐹 𝐷
𝐹 𝑦 =−5.22𝑁∙ 𝑠𝑖𝑛 50° + 𝐹 𝐸 −8𝑁=0
𝐹 𝐸 =12.0𝑁
𝐹 𝐸