Express the force in vector form, Mechanical Engineering

Express the force in vector form:

A force of 400 N forms angles of 45o, 65o and 120o, respectively, along with the x, y and z axes. Express the force in vector form.

Solution

486_Express the force in vector form.gif

Substituting     F = 400 N, θx = 45o, θy = 60o and θz = 120o, we obtain

Fx  = F cos θx = 400 cos 45o  = 282.84 N

Fy  = F cos θ y  = 400 cos 60o  = 200.00 N

Fz  = F cos θz  = 400 cos 120o  = - 200.00 N

F¯ = F¯x i¯ + F¯y  j¯ + F¯z

= (282.84 N) i¯ + (200.00 N) j¯ + (- 200.00 N) k¯

= 282.84i¯ + 200.00 j¯ - 200.00 k¯

where i¯ , j¯ and k¯ are the unit vectors along with x, y and z axes, respectively.

Posted Date: 1/28/2013 4:45:26 AM | Location : United States







Related Discussions:- Express the force in vector form, Assignment Help, Ask Question on Express the force in vector form, Get Answer, Expert's Help, Express the force in vector form Discussions

Write discussion on Express the force in vector form
Your posts are moderated
Related Questions
Write a MATLAB program to find the undamped natural frequencies and modes of an electric car treating it as a four degree of freedom system. Determine the undamped natural frequenc

ES 347 - Thermodynamics Project Assigned: 3/28/2013 Due: 4/25/2013 Problem specification 5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a

how do I Create appropriate costing systems and techniques for specific engineering business functions.

(a) Illustrate the First Law of Thermodynamics for a closed system undergoing a cycle. (b) A piston and cylinder machine contains a fluid system which passes through a complete

Design a soda vending machine that can deliver three kinds of soda, A, B and C. All the three soda cost the same amount - 70 cents. The vending machine has four coin slots, one eac


EXPLOSIVE WELDING I CLADDING In this process, two pieces of metal are impacted together at an extremely high velocity of impact achieved by the detonation of an explosive cha

Q. Show Mass energy Relation? Until the time of Einstein, mass and energy were considered as two different physical quantities. But in 1905, with the help of postulates of the

Explain construction and working process of newton''s ring

Preliminary stress analysis work will start early in the detail engineering phase after completion of equipment layout and piping study drawings. The piping required to be analyzed