Grade 11Mechanics
A particle is located at ![src=data:image/png;base64,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]()
A constant force of magnitude 2.6 N acts on the particle. Find the components of the torque about the origin when the force acts in (a) the positive x direction and (b) the negative z direction.
1 Answer
Aditi Chauhan
(a) When the force acts in the positive x direction, the vector force can be written in unit vector notation as:
Substitute the values in the expression of cross product given by equation (1),
(b) When the force acts in the negative z direction, the vector force can be written in unit vector notation as:
Substitute the values in the expression of cross product given by equation (1),
(b) When the force acts in the negative z direction, the vector force can be written in unit vector notation as:
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