Important Exam Facts Flashcards
Forward Dynamics (Simulation):
Forces -> Resulting Motion (Understanding of performance)
Inverse Dynamics:
Kinematic Data -> Applied Forces (Understanding of injuries)
Assumptions of acceleration of a body in free-flight:
No air resistance and gravity is constant (9.81ms^-2)
SUVAT equations:
S=ut + 1/2at^2
S=1/2(v+u)t
S=vt - 1/2at^2
V=u +at
V^2=U^2 + 2as
Apex and Range of a projectile:
Apex: x=u0v0 / g
Range: R=2u0v0 / g
What angle does the maximum horizontal range occur at?
45 degrees = W^2sin2a / g
Newton’s Laws:
1st law: Law of inertia- more inertia means it’s harder to move
2nd: F=ma
3rd: During impact reaction forces cancel =0
Weightless:
A body is said to be ‘weightless’ when it is freely falling under gravity
Impulse:
P=Ft=mat=m(v-u)=mv-mu=change in momentum
Conservation of linear momentum:
m1u1 + m2u2 = m1v1 + m2v2
Coefficient of restitution:
(v2-v1)=e(u1-u2), e=v2-v1/u1-u2, 0<e<1
Potential Energy:
PE=mgh, PE=0 usually at lowest point (h=0)
Kinetic Energy:
KE=1/2 mv^2
Mechanical Energy:
ME= KE + PE, ME= 1/2 mv^2 + mgh
Work:
F= Force x distance = change in kinetic energy. (If F isn’t constant we must integrate)
Distance of an arc:
s=r*theta
Tangential velocity:
v=rw
Tangential acceleration:
a=ra
Radial velocity:
v=0
Radial acceleration:
a=v^2/r=rw^2
Moment of Inertia:
Ig= Sum of mx^2
Io= Sum of m(x+d)^2
Io= Ig + M*d^2 (parallel axis theorem)
Angular momentum:
ho= mvr
hg= sum of mvr = Igw
Conservation of angular momentum:
Isws = Itwt
Vtop when ‘weightless’:
Vtop=sqrt(rg)
Vbot:
Vbot=sqrt(2gh + Vtop^2)