M5 Advanced Mechanics Flashcards
1
Q
Projectile motion
A
a(x) = 0 v(x) = ucos(theta) x = utcos(theta) a(y) = -g v(y) = -gt + usin(theta) y = -gt2 / 2+utsin(theta)
2
Q
Pendulum
A
T = 2pi x sqrt(L/g)
3
Q
Centripetal force
A
towards the centre Fc = mv2/r formula sheet.
4
Q
Centrifugal force
A
reaction force to centripetal force.
5
Q
Tangential velocity
A
v = 2r x pi / T
6
Q
Angular displacement
A
change in theta = s/r where s is length round the circumference, r is radius and theta is in radians.
7
Q
Angular velocity
A
w = change in theta / change in time wr = v where r is radius, v is linear/tangential velocity
8
Q
Conical Pendulums
A
Fc = T + mg
9
Q
Newton’s Universal Law of Gravitation
A
F = GMm/r2 r measured from centre of masses
10
Q
Gravitational Field Strength
A
F per unit mass g = Gm/r2
11
Q
Kepler’s Three Laws of Planetary Motion
A
- The planets move in ellipses with the sun at one focus.
- The line between the Sun and the planet sweeps out equal areas in equal time.
- T2 is proportional to r3. r3/T2 = GM/4pi2
12
Q
Escape velocity
A
let change in U = EK
v = sqrt(2GM/r)
13
Q
Orbital Velocity
A
let Fg = Fc v = sqrt(GM/r)
14
Q
Geostationary Orbit
A
- stays in the same place relative to the earth, T = 1 day
- Above outer Van Allen, 35 000km
- wide field of view
- allows tracking of stationary point on Earth
- used for communications, mass-media, weather monitoring
15
Q
Low Earth Orbit
A
- 160 to 2000 km (below inner Van Allen belt)
- small field of view
- frequent coverage of specific or varied locations
- difficult to maintain orbit due to satellite drag
- used for military, earth observation, shuttle missions, Hubble space telescope
