8. A particle is located at the vector position 7 =(4.00î + 6.00j) m, and a force exerted on it is given byF = (3.00î + 2.00 j) N. (a) What is the torque acting onthe particle about the origin? (b) Can there be anotherpoint about which the torque caused by this force onthis particle will be in the opposite direction and halfas large in magnitude? (c) Can there be more thanone such point? (d) Can such a point lie on the y axis?(e) Can more than one such point lie on the y axis?(f) Determine the position vector of one such point.%3D

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Asked Dec 9, 2019
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8. A particle is located at the vector position 7 =
(4.00î + 6.00j) m, and a force exerted on it is given by
F = (3.00î + 2.00 j) N. (a) What is the torque acting on
the particle about the origin? (b) Can there be another
point about which the torque caused by this force on
this particle will be in the opposite direction and half
as large in magnitude? (c) Can there be more than
one such point? (d) Can such a point lie on the y axis?
(e) Can more than one such point lie on the y axis?
(f) Determine the position vector of one such point.
%3D
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8. A particle is located at the vector position 7 = (4.00î + 6.00j) m, and a force exerted on it is given by F = (3.00î + 2.00 j) N. (a) What is the torque acting on the particle about the origin? (b) Can there be another point about which the torque caused by this force on this particle will be in the opposite direction and half as large in magnitude? (c) Can there be more than one such point? (d) Can such a point lie on the y axis? (e) Can more than one such point lie on the y axis? (f) Determine the position vector of one such point. %3D

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(a) Position of the particle, r = ( 4i + 6j): Force acting on it, F = (3i + 2j) N Torque on the particle about origin, T =r x F -(4i + 6i)<(si + 2j) = 8k – 18k T = -10k (b) Yes, there be another point about which the torque caused by this force on this parti cle will be in the opposite directi on and half as large in magnitude. (c) Yes, there can be more than one such points. (d) Yes, such a point can lie on the y axis. (e) No, more than one such point can not lie on the y axis.

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