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.

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

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
Show schematic diagram showing the layout of transmission system of four-wheel driven car. Explain briefly the following types of frame: (a) Conventional frame (b) Integra


Illustrate the various Functions of clutch and also explain the Principle of frictions Clutch ? What is the requirement of Transmission System & Explain the Arrangemnet for P

I was wondering if anyone could help me design an aid for my pet rat that has hind leg degeneration. I have a long slope where i can train him to climb on some kind of trolley and

Q. What is Tantalum? Tantalum is one of the most corrosion-resistant metals known. However, the high cost of tantalum has limited its commercial use as an all-purpose corrosio

Steel Rule: A steel rule is used to measure length. It has two scales - in millimeters and inches. These rules are available in market in discrete lengths such as 15, 30, 60 cms.

Following data is provided for a 360 o hydrodynamic bearing : Radial load = 3.2 kN journal Speed =1490 rpm journal diameter = 50 mm bearing length = 50 mm radial cl

Bearing Bronzes This is the copper-tin alloys along with small additions of another constitution. Beneath conditions of heavy load and conditions of severe service, bronzes ar

SAFETY IN TIG WELDING-Radiation Energy Hazard Radiant energy may cause injury to the welder in two areas, eye and the skin. Any personnel, whether the welder, inspection person

Feces Collection: Small aliquots of feces are frequently analyzed to detect the presence of "hidden" blood, so called occult blood, which is recognized as one of the most ef