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
Q. What is Expansion Joints? Expansion joints are used to accommodate thermal growth in piping and pressure vessel applications. The metal bellows, an integral part of an expan

matlab program of location a point with respect a line

Objectives After studying this unit, you should be able to weigh the merits and demerits of becoming an entrepreneur, discuss the opportunities and financial assis

Why is porter governor more sensitive than Watt Governor even the former has got an additional weight which will require more force to move sleeve than Watt governor?

Q. Standard for steel pipes? Vendor shall meet or exceed the requirements of the latest edition of the following codes, regulations, and standards except as superseded herein.

Force on String: A string ABCD , attached to the two fixed points A and D has two weight of 1000N each attached to it at points B and C . The weights rest with portio


On the Moodle site just below the assignment you will find data from a slow sine sweep test conducted on a car on a "four-post" road simulator for the frequency range 0 to 20 Hz in

Determine the minimum thickness required: A thin spherical shell of 2 m diameter is subjected to an internal pressure of 1.5 N/mm 2 . If the allowable tensile stress of the ma

what is importance of process planning?