Mech Flashcards
1
Q
dot product cos equation
A
A . B = |A||B|cosθ
2
Q
vector work done
A
F . D
(force vector) . (displacement vector)
3
Q
centre of mass for planar lamina
A
reduce each shape to its centre of mass and mass
coordinate of centre of mass = sum of (mass x coordinate vector) / sum of masses
4
Q
to find angle of dangle
A
draw line from suspension point to centre of mass
5
Q
vectors: displacement to velocity to acceleration
A
differentiate
6
Q
equation for projectile path
A
-gx^2 / 2 v^2 cos^2(θ)
7
Q
ω
A
angular speed (rad/sec)
8
Q
rev/sec to rad/sec
A
x2pi
9
Q
centripetal acceleration, omega
A
a = ω^2r
10
Q
velocity, ω
A
v = rω
11
Q
outward force
N2L radially
A
F = mω^2r
12
Q
ω, T
A
ω = T/2pi
13
Q
centripetal acceleration, velocity, radius
A
a = v^2/r
14
Q
v, r, g, v, θ
A
v = sqrt(rg tan θ)
15
Q
tension, mass, length, ω
A
T = mlω^2
