NEET Exam > NEET Questions > A particle is moving in a plane with velocity...
Start Learning for Free
A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this?
Most Upvoted Answer
A particle is moving in a plane with velocity given by vector U=Uoi (a...
Community Answer
A particle is moving in a plane with velocity given by vector U=Uoi (a...
Explanation:
We are given that the velocity vector of the particle is U = Uo i (aw cos wt) j.
Trajectory of the particle:
To find the trajectory of the particle, we need to integrate the velocity vector with respect to time.
x = ∫Ux dt = Uo ∫cos(wt) dt = (Uo/w) sin(wt) + C1
y = ∫Uy dt = Uo ∫sin(wt) dt = (-Uo/w) cos(wt) + C2
where C1 and C2 are constants of integration.
Initial conditions:
We know that the particle starts from the origin at t=0. Therefore, we have x=0 and y=0 when t=0.
0 = (Uo/w) sin(0) + C1
C1 = 0
0 = (-Uo/w) cos(0) + C2
C2 = Uo
Therefore, the equations of motion for the particle are:
x = (Uo/w) sin(wt)
y = (Uo/w) (1 - cos(wt))
Answer:
Comparing the equation of y with the given options, we see that y = a sin(wx/Uo). Therefore, the correct answer is 1) y = a sin(wx/Uo).
We are given that the velocity vector of the particle is U = Uo i (aw cos wt) j.
Trajectory of the particle:
To find the trajectory of the particle, we need to integrate the velocity vector with respect to time.
x = ∫Ux dt = Uo ∫cos(wt) dt = (Uo/w) sin(wt) + C1
y = ∫Uy dt = Uo ∫sin(wt) dt = (-Uo/w) cos(wt) + C2
where C1 and C2 are constants of integration.
Initial conditions:
We know that the particle starts from the origin at t=0. Therefore, we have x=0 and y=0 when t=0.
0 = (Uo/w) sin(0) + C1
C1 = 0
0 = (-Uo/w) cos(0) + C2
C2 = Uo
Therefore, the equations of motion for the particle are:
x = (Uo/w) sin(wt)
y = (Uo/w) (1 - cos(wt))
Answer:
Comparing the equation of y with the given options, we see that y = a sin(wx/Uo). Therefore, the correct answer is 1) y = a sin(wx/Uo).
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this?
Question Description
A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this?.
A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this?.
Solutions for A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this? defined & explained in the simplest way possible. Besides giving the explanation of
A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this?, a detailed solution for A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this? has been provided alongside types of A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this? theory, EduRev gives you an
ample number of questions to practice A particle is moving in a plane with velocity given by vector U=Uoi (aw cos wt)j where i and j are unit vectors along X and Y respectively. The trajectory of the particle start from origin at t=0 will be? [Uo- U initial] 1)y=a ain(wx/Uo) 2)y=a cos (wx/Uo) 3)y=tan x 4)y=y cos tx Answer -1 Can explain this? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup