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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?
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A particle is moving in a plane with velocity given by vector U=Uoi (a...
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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).
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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?
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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?.
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