Calculate the whole reaction at block, Mechanical Engineering

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.


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

Posted Date: 1/29/2013 2:49:36 AM | Location : United States

Related Discussions:- Calculate the whole reaction at block, Assignment Help, Ask Question on Calculate the whole reaction at block, Get Answer, Expert's Help, Calculate the whole reaction at block Discussions

Write discussion on Calculate the whole reaction at block
Your posts are moderated
Related Questions
Evaluate force by replacing equivalent force: In designing lifting hook, the forces acting on horizontal section through B can be determined by replacing F by equivale

Manual Engineering Drawing: The physical object is to be drawn (Do not take photographs of the object or use it as a template that you trace with) in class as an isometric dra

(a) Illustrate reversible, irreversible and Quasi-static process with examples. (b) What do you mean by terms change of state, path, process, property, cycle. (c) Distinguish

For two waves period, determine the time response x(t) for the system (ignoring viscous damping effect only)  Give=n: X0=0.09615 , θ(radians)=0.110*π , μk=0.80000 , μs=0.90000 , K=

please help me to calculate the diameter of a brake drum for using in a "brake drum dynamometer engine test rig" the engine specs are as follows: - 6Hp single cylinder 4stroke engi

Ask question # how to derive a expression for the centifugal tension in belt driver

Q. Describe the type of Facing and Backing sand? Facing sand. This sand is used directly next to the surface of the pattern and comes into contact with the molten metal when th

Confined Space Standard Various examples of workplace exist in industrial practice where spaces are characterized by several restrictions. Such spaces are identified as: manh