
Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Dynamics formula sheet test 1
Typology: Exercises
1 / 1
This page cannot be seen from the preview
Don't miss anything!
MAE/CE 272 Midterm Exam 1 Formula Sheet
Notations: Vector parameters are typed in boldface. Scalar parameters are typed in italics.
Rectilinear motion: dx = v dt; dv = a dt; a dx = v dv
Curvilinear motion: dr = vdt; dv = adt
Rectangular coordinates: v = ˙x
i + ˙y
j + ˙z
k
a = ¨xi + ¨yj + ¨zk
Tangential-normal coordinates: v = vˆu t
a =
dv
dt
uˆ t
v
2
ρ
uˆ n
Radial-transverse (polar) coordinates: v = ˙ruˆ r
θuˆ θ
a = (¨r − r
θ
2 )ˆu r
θ + 2 ˙r
θ)ˆu θ
Translation: dx = v dt; dv = a dt; a dx = v dv
Rotation: dθ = ω dt; dω = α dt; α dθ = ω dω
Two points on the same body: v B
= v A
aB = aA + α × r B/A
− ω
2
r B/A
Two points on separate bodies: vB = vA + Ω × r B/A
)xyz
(i.e. rotating axes) a B
= a A
Ω × r B/A
2 r B/A
xyz
xyz