Find out the components of the force, Mechanical Engineering

Assignment Help:

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 .


Related Discussions:- Find out the components of the force

.fluid mechanics., to find a horizontal force acting on a body which is inc...

to find a horizontal force acting on a body which is inclined to the plane with a particular angle

Determine elongation because of self weight of conical bar, Determine elong...

Determine elongation because of self weight of conical bar: Sol.: Consider conical bar ABC of length L with the diameter d fixed rigidly at AB . Let attention be focuse

Program evaluation and review techniques, Program Evaluation and Review Tec...

Program Evaluation and Review Techniques: The Rola and Cola Corporation is a professional II nursing home aspiring to become I nursing home. It desires to provide the ultimate

Yield stress and ultimate stress yield stress, Y ield stress and ultimate ...

Y ield stress and ultimate stress Yield stress: Yield stress can be defined as lowest stress at which extension of test piece increases without increase in the load. It is

Explain about structural design of combined footing, Explain about structur...

Explain about structural design of combined footing. Structural Design of Combined Footing The rectangular and trapezoidal combined footings are designed assuming uniform so

Explain working of steam sampling, Q. Explain working of Steam Sampling? ...

Q. Explain working of Steam Sampling? Sample coolers shall be supplied by the Vendor. A common sample spillage trough shall also be provided by the Vendor, with a cover screen

GD & T Expert needed to drawing chenck, Dou you have someone with good GD &...

Dou you have someone with good GD & T knowledge who can help me with ceheck, markup and comment mechanical drawings in PDF file format wich I will send?

Ultrasonic welding, ULTRASONIC WELDING This is a solid state welding p...

ULTRASONIC WELDING This is a solid state welding process for joining similar or dissimilar metals by application of high frequency vibratory energy to work pieces held togethe

Stitch welding, Stitch Welding This is a variation of spot welding, in ...

Stitch Welding This is a variation of spot welding, in which a series of overlapping spot welds are made in the same manner as stitching cloth. Stitch welding may be performed

Belt and rope friction, what is the effect of a warm groove on the performa...

what is the effect of a warm groove on the performance of the V belt

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd