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Question:

Equilibrium of tension problem?

Two cranes are lifting an object that weighs 17622 lbIf the acute angle between the horizontal and T1 is 26° and the acute angle between the horizontal and T2 is 34°, find T1 and T2:

Answer:

How to cook: 1.Marinate the chicken with lime, let it stand for a while then clean the chicken 2.Grind all the spices paste ingredients, saute the spice untill it is fragrant3.Add all the pieces of chicken and 3tbs water, stir constantly untill it become dries4.Prepared the banana leaves for wrappedBefore used, dried or roast the leaves over small flame for few seconds until the leaves is withered5.Prepare your banana leaf and put lemon basil in the center of it6.Add a piece of chicken on the top of lemon basil then add the lemon basil once again on the top of the chicken and put in one piece of tomato on the top7.Wrap and roll the chicken neatly and fasten the edges with toothpicks8.Repeat the process for the other pieces of chickenOne wrapped for one piece of chicken9.Steam it for 40 minutes until the chicken becomes tender10.The steamed spiced chicken cook with lemon basil is ready to served.
It's great- almost perfectOne thing that jumps out- to spell the word 'marinate' is very archaicThat is how they spelled it in medieval times! Holy smokes! These days, the common spelling is 'marNinate' with an extra 'n' Today, in most english-speaking countries, the lady that stirs the chicken wings in a vat of marninade all day is called a 'marnininny' Otherwise, great job!
Best way to start these problems is with a free body diagramFirst draw the object in the center and mark it W for weight which is 17622Next draw 2 vectors to represent the tension of each crane pulling this object upward at its respective angleMark one side T1 mark the other side T2Now you could see from the picture that T1sin26 degree + T2 sin 34 degree 17622( sin would give you its y values and since object weight is 17622Then this weight must be split between the crane in the y axis)Also T1cos26 T2 cos 34 (because the x axis must equal out between each other for object to be in equilibrium) Now you could rearrange with some algebra and you'll be able to solve for T1 or T2 of your choice(Hint: cos 26, cos 34, sin 26, sin 34 all have some decimal values.) Good luck and hope this helps, best way to learn these problems is trying them out.

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