Question

Relative velocity, Last problem Pls HELP !!!

Answer 1

@atlas

Answer 2

This is a very simple and largely a geometrical question. You need to find out how much distance on the x-axis has particles a and b moved w.r.t each other in time 't'. Similarly you need to find out how much distance apart they have moved in y-axis in time 't'

Answer 3

Since you have to give your answers in terms of theta and omega...........
use omeaga = theta/t (constant angular velocity)

Answer 4

x component of a = \(L \cos \theta \)

Answer 5

for b also x component wud be same ?

Answer 6

x-component of Vab wud be 0 then is it

Answer 7

yeah you are right............x component of v-ab would always be 0

Answer 8

You can see that for yourself - the two particles will never move along the x-axis at any point of time 't'

Answer 9

\[\bar r_A=Lcos(\theta) \hat i+Lsin(\theta) \hat j\]\[\bar r_B=Lcos(\theta) \hat i-Lsin(\theta) \hat j\]Position of particle A versus particle B is\[\bar r=\bar r_A-\bar r_B=2L\sin(\theta) \hat j\]\[\bar v_{ab}=\frac{ d \bar r }{ dt }=2Lcos(\theta)\frac{ d \theta }{ dt }\hat j=2Lcos(\theta) \omega \hat j\]