At time t, r= 4t²i- (2t + 6t²) gives the position of a particle of 1 mass m relative to the origin of an xy coordinate system (r' is in meters and t is in seconds). NOTE: Express your answers in the terms of the given variables. (a) Find an expression for the x component of the torque 7 acting on the particle relative to the origin. Tr (b) Find an expression for the y component of the torque 7 acting on the particle relative to the origin. Ty (c) Find an expression for the z component of the torque 7 acting on the particle relative to the origin.
At time t, r= 4t²i- (2t + 6t²) gives the position of a particle of 1 mass m relative to the origin of an xy coordinate system (r' is in meters and t is in seconds). NOTE: Express your answers in the terms of the given variables. (a) Find an expression for the x component of the torque 7 acting on the particle relative to the origin. Tr (b) Find an expression for the y component of the torque 7 acting on the particle relative to the origin. Ty (c) Find an expression for the z component of the torque 7 acting on the particle relative to the origin.
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Transcribed Image Text:At time t, r= 4t²i- (2t + 6t2) gives the position of a particle of
mass m relative to the origin of an xy coordinate system ( is in
meters and t is in seconds).
NOTE: Express your answers in the terms of the given variables.
(a) Find an expression for the r component of the torque 7 acting
on the particle relative to the origin.
Tx
(b) Find an expression for the y component of the torque 7 acting
on the particle relative to the origin.
Ty
(c) Find an expression for the z component of the torque 7 acting
on the particle relative to the origin.
*****
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T₂
||
t
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