Calculate the tension t in the rope, Mechanical Engineering

Calculate the tension T in the rope:

Q: A man raises 10 Kg joist of length 4m by pulling on rope, Find out the tension T in the rope and reaction at point A for the position as shown in the figure given below.                                                            

Sol.: Apply the condition of equilibrium

 

97_Calculate the tension T in the rope.png

∑H = 0      RAH  - T cos 20º = 0          RAH  = T cos 20º                          ...(i)

∑V = 0      RAV  - 10 - T sin 20º = 0 RAV  = 10 + T sin 20º                 ...(ii)

By taking moment about the point A

T sin 20º × AC + 10 sin 45º × AE   - Tcos20 × BC = 0,

AC = 4 cos 45º = 2.83 m BC = 4 sin45º = 2.83 m AE = 2 cos 45º = 1.41 m

T × 0.34 × 2.83 + 10 × 0.71 × 1.41 - T × 0.94 × 2.83 = 0,

0.9622 T + 10.011 - 2.66 T = 0

T = 5.9 Kg                               .......ANS

By putting value of T in equation (i) and (ii)

RAH = 5.54 Kg                             .......ANS

RAV = 15.89 Kg                          .......ANS

Posted Date: 10/16/2012 8:06:52 AM | Location : United States







Related Discussions:- Calculate the tension t in the rope, Assignment Help, Ask Question on Calculate the tension t in the rope, Get Answer, Expert's Help, Calculate the tension t in the rope Discussions

Write discussion on Calculate the tension t in the rope
Your posts are moderated
Related Questions
a beam ABC is simply supported at A and C and caries a couple equal to 100kN applied clockwise at B

Q. Explain about Ducts and Flues in steam generators? All air ducts and gas flues connecting the forced draft fan, fan intake silencer, preheater, and transition piece at the g

An open topped tank with a base area of 1m2 contains a layer of water 0:5m deep below an oil layer 1m deep. If the densities of water and oil are 1000kg=m3 and 850kg=m3 respectivel

how an axial thrust is a generated in a helical gear

(a) Describe the volumetric efficiency for an I. C. Engine. What is the basic effect of volumetric efficiency on: (i) Specific fuel consumption, (ii) engine power. (b) A p

what is the advantage of fan

Research on Best air pressure :             Once we had green light to go on with sand blasting process. We had conducted a few experiment testing and analysis. First of all we

(a) What is value of drive chain slackness? (b) Write about cleaning procedure and adjustment of drive chain. (c) What is the wear of drive chain, sprocket and adjustment of

Used Engine Oil: Used engine oil may cause skin disease if repeatedly in contact with the skin for prolonged time. It is advisable to thoroughly wash the hands with soap and water

with the aid of a diagram explain electrochemical grinding