An experimentalist in a laboratory finds that a particle has a helical path. The position of this particle in the laboratory frme is given by r(t)= R cos(wt)i + R sin(wt)j + vztk R,vz, and w are constants. A moving frame has velocity (Vm)L= vzk relative to the laboratory frame. In vector form: A)What is the path of the partical in the moving frame? B)what is the velocity of the particle as a function of time relative to the moving frame? C)What is the acceleration of the particle in each frame? D)How should the accelerartion in each frame be realted?Does your answer to part c make sense?
An experimentalist in a laboratory finds that a particle has a helical path. The position of this particle in the laboratory frme is given by
r(t)= R cos(wt)i + R sin(wt)j + vztk
R,vz, and w are constants. A moving frame has velocity (Vm)L= vzk relative to the laboratory frame.
In vector form:
A)What is the path of the partical in the moving frame?
B)what is the velocity of the particle as a function of time relative to the moving frame?
C)What is the acceleration of the particle in each frame?
D)How should the accelerartion in each frame be realted?Does your answer to part c make sense?
Solution:
The position of this particle in the laboratory frme is given by
r(t)= R cos(wt)i + R sin(wt)j + vztk
It is given that,
A moving frame has velocity (Vm)L= vzk relative to the laboratory frame.
Therefore,
The position vector of the frame with respect to laboratory
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