Find out the components of the force, Mechanical Engineering

Find out the components of the force:

The frame of a certain machine accelerates to the right at 0.8 g m/sec2. As illustrated in Figure, it carries a uniform bent bar ABC weighing 50 N/m, pinned to it at C and braced by the consistent strut DE which weighs 100 N. Find out the components of the force at pin D.

Solution

Except for the application of inertia forces the solution of this problem is same as that for statics. The free body diagram of each of member is placed in dynamic equilibrium including inertia force acting through the C. G. of each of part, directed opposite to the acceleration. We should note that instead of locating C. G. for ABC, it is more suitable to apply the inertia reaction acting on each of part of its length. The inertia forces are

For AB,

                                   ma/g = 15 . a = (15/g) × 0.8 g = 12 N

For BC,

                                    ma = (25/g) . a = (25/g) × 0.8 g = 20 N

For DE,

                               ma = (100/g) . a = (100/g) × 0.8 g = 80 N

Now Let us consider FBD of ABC.

Sum of moments about C shall eliminate three unknown forces and we get, directly Dx.

                                      ∴ ∑ M C  = 0

                - M AB × 15 - FAB × 50 - FBC  × 25 + Dx  × 35 = 0

(MBC has not been taken because this is acting vertically which passes through point C).

∴ - 15 × 15 - 12 ×50 - 20 × 25 + Dx  × 35 = 0

∴ Dx  = 37.8 N

Referring to FBD of DE now in which Dx is known, we take sum of moments about E which shall remove Ex and Ey.

∴ ∑ M E  = 0

∴ - 37.8 × 35 - 80 × 17.5 - 100 × 12.5 + Dy × 25 = 0

∴ Dy  = 158.92 N

If needed, components of reactions at C and E may be determined by applying

∑ Fx  = 0, ∑ Fy  = 0 , to each body separately.

The body of mass 100 kg is supported by wheels at B which freely roll without friction and by a skid at A under which the coefficient of friction is equal to 0.5. Calculate the value of P to cause an acceleration of (g/4) m / sec2 .

Posted Date: 1/29/2013 2:46:03 AM | Location : United States







Related Discussions:- Find out the components of the force, Assignment Help, Ask Question on Find out the components of the force, Get Answer, Expert's Help, Find out the components of the force Discussions

Write discussion on Find out the components of the force
Your posts are moderated
Related Questions
Permanent Way: Definition In railway engineering, the permanent way refers to the earthen formation and the track structure over it. Gauge The separation

Construct a plain scale: The distance between Indore and Bhopal is 180 kilometer. It is represented on the map via 9 centimeter. Construct a plain scale for such map, illustra

We shutdown our furnace and always encountered crack on our piping at the weld joints. I investigated that upon shutdown the furnace cracking, our maintenance immediately remove th

we perform mockup test to 10 tube with tubesheet. please give the cutting plan?

#questicalculation of shear fon\rce and bending moment..

Dynamically Equivalent Link: this is link that has point masses at two points such that (a) overall mass is same, (b) centre of gravity is at the similar position, and (c) mass m

IMPULS E TURBINE: The steam turbine in which the steam expands while passing through nozzle and remains at the constant pressure over the blades is called as impulse turbine.

Calculated the slope of the cantilever: Calculated the slope of the cantilever given in Example 6 at its free end. Solution To find out rotation in a beam we must have

Derive mathmatical equation for Bernoull's equation, what are the application of Bernoull's equation and illustrate any one.

I am studying in Final Year of Engineering(Mechanical) and I would like some help for the project. It will be helpful if you suggest some project related to Automation.