Compute the magnitude and direction of the force, Mechanical Engineering

Compute the magnitude and direction of the force:

Problem:

Compute the magnitude and direction of the force

F¯ = (320 N) i¯ + (450 N) j¯ - (600 N) k¯

Solution

The magnitude of the force F is specified by

216_Compute the magnitude and direction of the force.png

          = 815.41N

cos θx = Fx / F =            320 /815.41 = 0.3924

∴ θ x = 66o  53′ 36′

cos θ y = Fy/  F

 = 450 / 815.41

 = 0.5519

∴ θ y = 56o  30′ 16′

cos θz = Fz /F =  - 600 / 815.41 = - 0.7358

∴ θz = 137o  22′ 29′′

Therefore, the force of 815.41 N is making an angle of 66o 53′ 36′′ along with x axis, 56o 30′ 16′′ along y axis and 137o 22′ with z axis.

Posted Date: 1/28/2013 4:47:05 AM | Location : United States







Related Discussions:- Compute the magnitude and direction of the force, Assignment Help, Ask Question on Compute the magnitude and direction of the force, Get Answer, Expert's Help, Compute the magnitude and direction of the force Discussions

Write discussion on Compute the magnitude and direction of the force
Your posts are moderated
Related Questions
a) Mention typical application of instrument system with illustratation. b) Write down about the functional element of instrument system with examples. c) Define the key term

I am trying to find out how a hunting scope is manufactured with proper steps and what machines are used to make a scope?

The greasted and least resultant of forces performing on a body are 35 KN and 5 KN respectively. Calculate the magnitude of forces. What could be the angle between these forces if

Find out the moment of inertia of an annular area: Find out the M. I. of an annular area among two circles where difference of radius is quite small, around any centroidal axi

Q. Why we use cold working? Cold working takes place below the recrystallization temperature, and therefore is fundamentally different at the atomic level with effects up to th

T ype s of Loading: Mainly three types of load acts on any beam; 1. Concentrated load ( or point load) 2. Uniformly distributed load 3. Uniformly varying load

the component of computer integrated manufacturing with the diagram

Q. Corrosion in Boiler? With proper BFW treatment, and maintaining pH within a certain range (9.2 to 9.4) and removing oxygen from the system, a stable passive film will be for

Find out the final extension and the work done: Problem:  (i) A spring of stiffness 4 N/cm of extension is extended steadily yet the force of 20 N is reached. Find out th

Q. Determine the Bolt Torque? The value of the bolt torque, which will give the desired bolt stress, can be calculated from Equation. The friction coefficient (K) is for a well