Calculate the whole reaction at block, Mechanical Engineering

Assignment Help:

Calculate the whole reaction at block:

A bar weighing 1 kg/m is bent at right angles into segments 0.60 m and 0.30 m long. It takes the position illustrated in Figure, while the frame F to which this is pinned at A is accelerated horizontally. Calculate this acceleration and the whole reaction at A.

Solution

1910_Calculate the whole reaction at block.jpg

Figure shows the free body diagram in which all of the forces acting on the body are illustrated. We must understand that inertia forces acting upon the bar only shall keep it in the shown position. Figure (c) illustrated the distances of several forces in equilibrium position.

From FBD, we may write the following equilibrium equations,

∑ Fx  = 0, X A  = 0.6 a + 0.3 a

∑ Fy  = 0, YA  = 0.6 g + 0.3 g

= 8.83 N

Algebraic sum of the moment of all of forces about point A, i.e. ∑ M A  = 0

∑ M A  = 0,   0.6 a × 27.70 + 0.3 a × 61.2 - 0.6 g ×11.5 - 0.3 g × 13.84 = 0

       ∴ 16.62 a + 18.36 a - 11.055 g = 0

            ∴ a = 3.10 m / sec 2

         ∴ X A  = 0.9 × 3.10 = 2.80 N

∴ Total resultant reaction at A =1295_Calculate the whole reaction at block.png, and

tan θ =( 8.83 /2.80) = 3.16

θ= 72.41o


Related Discussions:- Calculate the whole reaction at block

Illustrate the general shear failure in bearing capacity, Illustrate the ge...

Illustrate the general shear failure in bearing capacity. General Shear Failure: In this case of failure, contiguous failure surfaces develop between the edges of the footin

Mounting systems for the welding head-carriage mounted type, Mounting Syst...

Mounting Systems For The  Welding Head-Carriage mounted type In this set up, the welding head is mounted on a movable carriage. The carriage is mounted on rails and powered by a

Combustion chamber and radiant section, Q. Combustion Chamber and Radiant S...

Q. Combustion Chamber and Radiant Section? The combustion chamber and the radiant heat transfer section of the Steam Generators shall be a horizontal, multiple pass arrangement

What is euler operators, What is euler operator Once a polyhedron model...

What is euler operator Once a polyhedron model is available one might want to edit it by adding or deleting vertices, edges and faces to create a new polyhedron. These operatio

Determine maximum internal diameter of hollow shaft, Determine maximum inte...

Determine maximum internal diameter of hollow shaft: A solid shaft of mild steel which is 200 mm in diameter is to be replaced by hollow shaft of alloy steel for which the al

Exhaust manifold-basic components of engine , Exhaust Manifold : The pipe ...

Exhaust Manifold : The pipe which connects the exhaust system to the exhaust valve of the engine through which the products of combustion escape into the atmosphere is called the

Heat treatment of stainless steels, Heat Treatment of Stainless Steels: ...

Heat Treatment of Stainless Steels: Stainless steels, as other steels, react to heat treatments over broad range. They are subjected to one or more of the given heat treatmen

Explain milling fixture, Explain Milling Fixture? A milling fixture...

Explain Milling Fixture? A milling fixture is a work holding device which is firmly clamped to the table of milling machine. It holds the work piece in correct position as

Explain the uses of pier and well foundations, Explain the uses of Pier and...

Explain the uses of Pier and Well Foundations Well foundations are used to transmit large loads from piers of bridges and other marine structures. These are constructions carr

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