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A particle is located at a point described by the position vector F= (4.00î + 6.003) 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 mag- nitude? (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.

A particle is located at a point described by the position vector F= (4.00î + 6.003) 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 mag- nitude? (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.

Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter9: Momentum And Its Conservation
Section9.1: Impulse And Momentum
Problem 7PP
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A particle is located at a point described by the position vector F= (4.00î + 6.003) 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 mag- nitude? (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.
Transcribed Image Text:A particle is located at a point described by the position vector F= (4.00î + 6.003) 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 mag- nitude? (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.
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