Determine the concurrent forces, Mechanical Engineering

Determine the concurrent forces:

Four coplanar concurrent forces act at point and keep it at rest. These are mention in Figure. Determine the forces P and Q.

868_Determine the concurrent forces.jpg

Solution

Let us assume that forces P and Q act away from the point O. As the point O remains at rest, we may apply equations of equilibrium

∑ Fx  = 0

∴ 310 + P cos 60o - 1260 cos 60o = 0

∴ 310 + 0.5 P - 1260 × 0.5 = 0

∴ P = (630 - 310) /0.5 = 640 N

As P works out to be positive, its assumed direction is correct. Thus, P acts away from O.

Also, ∑ Fy  = 0

∴ P sin 60o + 1260 sin 60o - Q = 0

∴ Q = (640 + 1260) sin 60o

∴ Q = 1645.4 N

As Q is also positive, the assumed direction of Q is correct. Therefore, Q acts away from O.

Posted Date: 1/28/2013 5:02:00 AM | Location : United States







Related Discussions:- Determine the concurrent forces, Assignment Help, Ask Question on Determine the concurrent forces, Get Answer, Expert's Help, Determine the concurrent forces Discussions

Write discussion on Determine the concurrent forces
Your posts are moderated
Related Questions
Control Cables: Never bend or distort control cables. This will lead to stiff operation and premature cable failure. Rubber Parts: Beware of parts containing O-rings or oil s

A column is made from a universal I-section 203x 203 x 60. A load of 96kN is applied on the y-axis offset 50mm from the centroid. Calculate the stress at the outer edges of the y-a


The three prototyping methods used are: a)  R a p i dPrototyping: This is used to model the pins (large 1, 2 and small), lock disk and crank. b)   CNCMachining: Use


Lifting machines: Basic definitions of the lifting machines and some lifting machines have been described. For each of these machines, derivation of the formulae for mechanica

SHIELDING GASES Shielding gas is directed by the torch to the arc and weld pool to protect the electrode and the molten weld metal from atmospheric contamination.  Argon

Contrary to the misconception that the growth in automobile industry has catered only to the higher income-stratum of society by producing mostly passenger cars, the fastest growt