Lecture 15

Question 1

Relative Velocity

Answer 1

vB/A = w * rAB

Question 2

On a rigid body what is constant

Answer 2

rotation therefore relative velocities can be equated

Question 3

Vector dot product or scalar product =

Answer 3

a dot b = mag a * mag b * cos theta

Question 4

Vector dot product is used for

Answer 4

finding component of force in particular direction

Question 5

Component of force F in direction r

Answer 5

F dot r / mag of r

Question 6

vector cross product

Answer 6

mag a cross b = mag a * mag b * sin theta

Question 7

difference between a x b and b x a

Answer 7

a x b = - (b x a)

Question 8

relationship between cross product of i j k

Answer 8

draw circle

Question 9

what are the two components of acceleration

Answer 9

tangential and normal

Question 10

equation for tangential acc

Answer 10

(aB/A)t = alpha x rB/A

Question 11

equation for normal acc

Answer 11

(aB/A)n = w x ( w x rB/A)

Question 12

motion on a rigid body is broken down to

Answer 12

translation and rotation relative to this point

Question 13

va =

Answer 13

vb + va/b = vb + w * ra/b

Question 14

aa =

Answer 14

ab + aa/b = ab + alpha * ra/b + w x (w x ra/b)

Question 15

w x (w x ra/b) = if w = wk and ra/b = xi + yj

Answer 15

-w^2(xi + yj) = -w^2 *r