TRajectory..

A particle is moving in aplane with a velocity given by V=V0i +(awcoswt)j where i and j are unit vectors alond X and Y axes resp.The trajectory of the particle if the particle starts from origin at t=0 will be..
A) y=asin(wx/V0) B)y=acos(wx/v0)

C)tanx D) y=cotx

2 Answers

35
Rohit Chowdhuri ·

Displacement in horizontal direction,
x=∫vdt=vt
displacement in vertical direction,
Y=∫awcos(wt)dt
y=asin(wt)
now,
from the first equation,
we get, t=x/v.
hence, equation of motion becomes,
y=asin(wx/v).
option (b) is correct.

35
Rohit Chowdhuri ·

Displacement in horizontal direction,
x=∫vdt=vt
displacement in vertical direction,
Y=∫awcos(wt)dt
y=asin(wt)
now,
from the first equation,
we get, t=x/v.
hence, equation of motion becomes,
y=asin(wx/v).
option (a) is correct.

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