Determine the horizontal component of the force, Mechanical Engineering

Determine the horizontal component of the force:

A force of 80 N is working on a bolt as illustrated in Figure. Determine the horizontal and vertical components of the force.

127_resolveforces.gif

Figure

Solution

Through the principle of transmissibility of a force, any force may be considered to be working at any other point on the line of action of the force.

                             ∴ θ = 60o + 180o = 240o

w.r.t. positive x axis measured in anticlockwise direction

∴          Fx = F cos θ = 80 cos 240o = - 40 N

 (or, Fx = 80 cos 60o = 40 N along with  the negative x-direction, as is clear by visual inspection).

Fy = F sin θ = 80 sin 240o = - 69.28 N

∴          F¯ = (- 40 N) i¯ + (- 69.28 N) j¯

               = - 40 i¯ - 69.28 j¯

Posted Date: 1/28/2013 4:40:10 AM | Location : United States







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