Kinetics Flashcards
What is formula of v_p?
v_p = v_0 + v_rel + \omega x r_{P|O}
What is formula for a_p
(a_0) + (a_rel) + (2\omega x v_rel) + (\alpha x r_{P|O}) + (\omega x (\omega x r_{P|O}))
accelaration of coordinate system + relative acceleration + coriolisis acceleration + tangential acceleratiaon + radial acceleration
What is formula for v_P of rigid body?
v_p = v_a + \omega_abs x r_{P|A}
where omega abs = omega rel + omega bar
What is formula for a_P of rigid body?
a_A + \alpha abs x r_{P|A} + \omega abs x (omega abs x r_{P|A})
acceleration of reference + absolute path accleration + absolute radial acceleration
what is omega abs?
Rotation of coordinate system + rotation of point on body
What is velocity of bottom point in slip-free motion?
0
What is formula for alpha abs?
alpha bar + alpha rel + omega bar x omega rel
How is motion simplified in planar motion
No z component for linear terms, only z-components for angular terms
What is the instantaneous center of rotaion?
The point around which the body is rotating at a given time, its velocity is 0
What is a rule for pole construction?
Velocity always perpendicular to pole ray
Is the angle of dispacement of two points around instantaneous point of rotation same?
yes
How do you find center of rotation using graphical method if the known points are aligned?
using fact that displacement angle will be same
What does it tell us if the velocity vectors are parallel, equally oriented and equally long?
Pure translation
Pole at infinity
What is formula of velocity of point from a pole?
v_p = omega abs . r_PC
What is the poleholde?
The path the center of rotation draws wrt to the moving body
