The convention is to choose the direction of +z so that ?Xj=kwhich automatically means that IXi=-k.is called a right handed coordinate system. This allows one to write the cross product using components asThisshown below.A=Azi+Ayj;B=Bzi+Byj_ The cross product in terms of the components isj andAssume two vectorstherefore:ÄxB=A,B,(ixj)+4, B.(jxi)=(A, B,-A,B,.)kUse this formula for the cross product to determine the torque due to a force (7 î + 9 ĵ) newtons and appliedat displacement (0.8 î + 1.2 ĵ) m from the axis of rotation. What is the z-component of the torqueinnewton-meters? Be careful, remember it matters which vector comes first.

Given values: Force, F→=(7i^+9i^) N Displacement, r→=(0.8i^+1.2i^) m Torque, 𝞃→ = r→×F→

jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means that is called a right handed coordinate system. This allows one to write the cross product using components as shown below. A=A;i+Ayjand B=Bzi+Byj_ The cross product in terms of the components is Assume two vectors therefore: ÄxB=A,B,(ixj)+A,B.(jxi)=(A,B,-A,B.)k Use this formula for the cross product to determine the torque due to a force (7 î + 9 ĵ ) newtons and applied at displacement (0.8 î + 1.2 ĵ ) m from the axis of rotation. What is the z-component of the torque newton-meters? Be careful, remember it matters which vector comes first.

jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means that is called a right handed coordinate system. This allows one to write the cross product using components as shown below. A=A;i+Ayjand B=Bzi+Byj_ The cross product in terms of the components is Assume two vectors therefore: ÄxB=A,B,(ixj)+A,B.(jxi)=(A,B,-A,B.)k Use this formula for the cross product to determine the torque due to a force (7 î + 9 ĵ ) newtons and applied at displacement (0.8 î + 1.2 ĵ ) m from the axis of rotation. What is the z-component of the torque newton-meters? Be careful, remember it matters which vector comes first.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...

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