A particle is moving in a plane with velocity given by 
= u 0 
+ (a ω ω cos ω ω t) 
, where 
and 
are unit vectors along x and y axis, respectively. If the particle is at origin at t = 0, the distance from origin at time 3 π π /2 ω ω is
Text Solution
Verified by ExpertsB
Given, u = u 0 
+ (a ω ω cos ω ω t) 
Thus velocity along y axis, U y = a cos ω ω t and velocity along x axis, vx = u 0 .
Displacement at time t in horizontal direction,
x = 
and y = 
Eliminating t, y = a sin ( ω ω x/u 0 )
At time 3 π π /2 ω ω , x = u 0 (3 π π /2 ω ω )
and y = a sin 3 π π /2 = -a
Thus distance of particle from origin
S = 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems