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

Discover the maximum thickness required, Discover the maximum thickness req...

Discover the maximum thickness required: A thin cylindrical vessel of 2 m diameter and 4 m length having a particular gas at a pressure of 1.65 N/mm 2 . If the allowable tensi

Coil-fundamentals of electricity , Coil: A coil is used in ignition s...

Coil: A coil is used in ignition system to increase the voltage supplied by the battery or magneto. Coil

Group technology, develop an appropriate group technology coding scheme for...

develop an appropriate group technology coding scheme for a line of machine screws using monocode. explain how the coding scheme works. Assume the product line has the following va

Prove the fourier series expansion, (a) Prove that the fourier series expan...

(a) Prove that the fourier series expansion for the function x(t) described in the finite interval -π ≤ t≤ π x(t) = 0 -π ≤ t ≤ 0 x(t) = sint 0 ≤ t ≤ π (b) Represent t

Two stroke and four stroke engines, T w o Stroke and Four Stroke Engines:...

T w o Stroke and Four Stroke Engines: In  the two stroke engines thermodynamic cycle is completed in One revolution of crank shaft whereas in 4 stroke engines the cycle is c

What are the basic different air-fuel mixture, Describe carburetion. What a...

Describe carburetion. What are the basic different air-fuel mixture on which an engine can be operated ? Write a short note on sterling cycle. In an engine working on inlet pres

Determine the normal stresses, Determine the normal stresses: A short ...

Determine the normal stresses: A short hollow pier 1.6 m × 1.6 m outsides as well as 1.0 m × 1.0 m intersides supports a vertical load of 2000 kN at a point located on a diago

Function generation by relative pole method, how mechanism can be synthesiz...

how mechanism can be synthesized using relative pole method?

Plastic part manufacturing process, Q. Plastic part manufacturing process? ...

Q. Plastic part manufacturing process? Plastic belongs to the family of organic materials. Organic materials are those materials which derived directly from carbon. They consis

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