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.


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
Try Square: It has two straight edge arms at the angle of 90 degree and it is used to check the perpendicularity. A try square is shown in Figure. Figure: Try Square

what is a deficient frame?

what is Next Generation Manufacturing Strategy?

Evaluate the centroid of an area: Determine the centroid of an area shown in Figure (a). Solution This problem may be attempted in two ways as illustrated in Figu

Explain construction and working of Belt transmission type Dynamometer?

To make strawberry jam, a two-stage process is used as shown in the figure.  First, crushed strawberries and sugar are mixed in a 45:55 ratio by mass. Then the mixture is heated to

Branches of mechanics: Mechanics is basically divided in to two parts Static's and Dynamics, Dynamics is further divided in kinematics and kinetics Statics: It deals with

Draw bending moment diagram: Draw the shear force diagram (SFD) & bending moment diagram (BMD) for the beam illustrated in Figure . Solution Reaction at the support A,