Q2: A constant force of F = 10i+2j-k newtons displaces an object from A(1,1,1) to B (2,-1,3) (in metres), then Find: (1) The work done in newton metres. (2) The torque vector and its magnitude about point B. (3) The angle which the vector F makes with the vector AB. (4) The angles which the vector F makes with the each of three axes. (5) The projection of the vector F on the vector AB. (6) The scalar component of F in the direction of AB.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q2:
A constant force of F = 10i +2j - k newtons displaces an object from A(1,1,1) to
B (2,-1,3) (in metres), then Find: (1) The work done in newton metres. (2) The torque
vector and its magnitude about point B. (3) The angle which the vector F makes with the
vector AB. (4) The angles which the vector F makes with the each of three axes. (5) The
projection of the vector F on the vector AB. (6) The scalar component of F in the direction
of AB.
Transcribed Image Text:Q2: A constant force of F = 10i +2j - k newtons displaces an object from A(1,1,1) to B (2,-1,3) (in metres), then Find: (1) The work done in newton metres. (2) The torque vector and its magnitude about point B. (3) The angle which the vector F makes with the vector AB. (4) The angles which the vector F makes with the each of three axes. (5) The projection of the vector F on the vector AB. (6) The scalar component of F in the direction of AB.
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