Determine tension in each cable

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# Determine tension in each cable

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Create an account. Remember me. Facebook VKontakte Google. Previous Share Flag Next. How to calculate the tension of a cable? Don't know how to solve this problem.

Any help is greatly appreciated. You work for a company that sells 35 different types of hanging lamps. Your job is to design the system that hangs the lamps to walls and ceiling. The lamps weigh between g and 3kg. All lamps are hung using two cables. Each cable can handle forces of up to 50 N without breaking. Your job is to find a method to calculate the tension in each cable, assuming you know the mass of the lamp and the angles the cables make with a horizontal axis.

Your answer must be expressed in symbols only. On Yahoo! Canada Answers, somebody has already posted the answer, but it doesn't make any sense to me. If this answer is right, can somebody provide an explanation? Post a new comment Error. We will log you in after post We will log you in after post We will log you in after post We will log you in after post We will log you in after post Anonymously. Post a new comment.

Preview comment. Post a new comment 19 comments.If an object is at equilibrium, then the forces are balanced.

Balanced is the key word that is used to describe equilibrium situations. This extends from Newton's first law of motion. An object at equilibrium is either This too extends from Newton's first law of motion. If an object is at rest and is in a state of equilibrium, then we would say that the object is at "static equilibrium. A common physics lab is to hang an object by two or more strings and to measure the forces that are exerted at angles upon the object to support its weight.

The state of the object is analyzed in terms of the forces acting upon the object. The object is a point on a string upon which three forces were acting. See diagram at right. If the object is at equilibrium, then the net force acting upon the object should be 0 Newton. Thus, if all the forces are added together as vectors, then the resultant force the vector sum should be 0 Newton.

Recall that the net force is "the vector sum of all the forces" or the resultant of adding all the individual forces head-to-tail. Thus, an accurately drawn vector addition diagram can be constructed to determine the resultant. Sample data for such a lab are shown below.

For most students, the resultant was 0 Newton or at least very close to 0 N. This is what we expected - since the object was at equilibriumthe net force vector sum of all the forces should be 0 N. Another way of determining the net force vector sum of all the forces involves using the trigonometric functions to resolve each force into its horizontal and vertical components.

Once the components are known, they can be compared to see if the vertical forces are balanced and if the horizontal forces are balanced. The diagram below shows vectors A, B, and C and their respective components. For vectors A and B, the vertical components can be determined using the sine of the angle and the horizontal components can be analyzed using the cosine of the angle. The magnitude and direction of each component for the sample data are shown in the table below the diagram.

The data in the table above show that the forces nearly balance. An analysis of the horizontal components shows that the leftward component of A nearly balances the rightward component of B. The vector sum of all the forces is nearly equal to 0 Newton. But what about the 0. Why do the components of force only nearly balance? The sample data used in this analysis are the result of measured data from an actual experimental setup.

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The difference between the actual results and the expected results is due to the error incurred when measuring force A and force B. We would have to conclude that this low margin of experimental error reflects an experiment with excellent results. We could say it's "close enough for government work.Case A- ball suspended on one cable Case B- ball suspended on by two cables.

A kg package of supplies is suspended below the helicopter by a cable as shown in the figure: the package is also traveling to.

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I got two questions Three blocks on a fricitonless horizontal surface are in contact with each other a force F is applied to block 1 mass m1 Draw a free body diagram for each block ok done the accelration of the system in terms of m1, m2, and m3 ok done. Two factors: 1 the weight of the car is now partially down the cable, it adds to tension: mgsinTheta is the component of weight pulling back on the cable.

A kg traffic light is suspended above the street by two cables. What is the tension in each cable? The pulley has a moment of inertia of The cable rides over the pulley without. A crane is lowering two boxes downward at a constant velocity. The cable from the crane is attached directly to the upper box, m1, which has a mass of 95kg and a second cable hanging from the upper box supports the lower box, m2, which has a mass of kg.

A cubic meter of some material has a mass of kg. The block of material is lowered into a lake by a strong cable until the block is completely submerged.

Draw a free-body diagram for the block. Do this on paper. Your instructor may ask you to turn in. Consider a rod of mass 1g and length L, held in place against a vertical wall by a cable at the opposite end as shown in the diagram. A sign of mass 10kg is also hanging o the end of the rod furthest from the wall.

The boom crane in the diagram is in static equilibrium and weighs N with its center of gravity in the middle of its length. It is supported by a frictionless pivot at the left end and a cable connected to the center of the boom and is supporting a. Determine the tension in the elevator cable. Draw a free-body diagram. A 5 N weight is held suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension, T1.

Cable 2 applies a force upward and to the left at an angle of Figure shows a block mass on a smooth horizontal surface, connected by a thin cord that passes over a pulley to a second block which hangs vertically. Note that the cables make an angle of Suppose the. Apparently, I'm not allowed to post URLs, but this question is better illustrated by a diagram, i The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problem is the tension in the cable.

A rescue helicopter lifts a The person has an. In a repair shop a truck engine that has mass kg is held in place by four light cables Figure 1. Cable A is horizontal, cables B and D are vertical, and cable C makes an angle of Tension in cable A is N. What is. In a rescue, a Sketch a free body diagram.I don't want to reset my password. This textbook survival guide was created for the textbook: Engineering Mechanics: Statics, edition: Since the solution to from 7 chapter was answered, more than students have viewed the full step-by-step answer.

This full solution covers the following key subjects: cable, cables, determine, length, segment. This expansive textbook survival guide covers 11 chapters, and solutions. Enter your email below to unlock your verified solution to:. About us.

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Elite Notetakers. Referral Program. Campus Marketing Coordinators. Log in Sign Up. Forgot password? Register Now. Already have an account? Login here. Solved: Determine the tension in each segment of the cable. ISBN: Get Full Solutions. Problem Determine the tension in each segment of the cable and the cables total length.

Step 3 of 3. Textbook: Engineering Mechanics: Statics Edition: Author: R. Hibbeler ISBN: Other solutions. View Full Material. People also purchased. What is the volume of Hot Threads. Featured Threads. Log in Register. Search titles only. Search Advanced search…. Log in. Support PF! Buy your school textbooks, materials and every day products Here!

JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding. Calculate the tension force of 3 supporting cables that hold a crate.

## Calculate the tension force of 3 supporting cables that hold a crate

Thread starter plazprestige Start date May 10, Three cables support the crate and have terminal points B, C, D, whose coordinates are 0, 70, 0, 0, 0and 45,0. Calculate the tension force of EACH of the three cables. Beyond this point, however, I don't know how to proceed.

In the textbook, there is an example problem involving a camera and a tripod. This example showed the procedure for calculating the supporting force of the tripod legs. In this problem, neither conditions apply. I also tried breaking the problem down by recognizing the net force on the system is zero, but had no luck. This problem is given in the context of a calculus textbook which is just introducing vectors in three dimensions so no dot-products, cross-products, or calculus is needed to solve the problem.

I would like to know how to solve the problem.During these challenging times, we guarantee we will work tirelessly to support you. We will continue to give you accurate and timely information throughout the crisis, and we will deliver on our mission — to help everyone in the world learn how to do anything — no matter what. Thank you to our community and to all of our readers who are working to aid others in this time of crisis, and to all of those who are making personal sacrifices for the good of their communities.

We will get through this together. In physics, tension is the force exerted by a rope, string, cable, or similar object on one or more objects. Anything pulled, hung, supported, or swung from a rope, string, cable, etc.

Being able to calculate tension is an important skill not just for physics students but also for engineers and architects, who, to build safe buildings, must know whether the tension on a given rope or cable can withstand the strain caused by the weight of the object before yielding and breaking.

See Step 1 to learn how to calculate tension in several physical systems. To calculate the tension on a rope holding 1 object, multiply the mass and gravitational acceleration of the object.

If the object is experiencing any other acceleration, multiply that acceleration by the mass and add it to your first total. To calculate the tension when a pulley is lifting 2 loads vertically, multiply gravity time 2, then multiply it by both masses.

Divide that by the combined mass of both objects. For examples and formulas for different situations, read on!

Mechanical Engineering: Particle Equilibrium (7 of 19) Tension of Cables Attached to Hanging Object

Article Edit. Learn why people trust wikiHow. This article was co-authored by Bess Ruff, MA.

### Pot is supported from A by the three cables

She has conducted survey work for marine spatial planning projects in the Caribbean and provided research support as a graduate fellow for the Sustainable Fisheries Group. There are 9 references cited in this article, which can be found at the bottom of the page. Calculating Tensions On Multiple Strands. Related Articles. Article Summary. Method 1 of Define the forces on either end of the strand.

The tension in a given strand of string or rope is a result of the forces pulling on the rope from either end. Assuming the rope is stretched tightly, any change in acceleration or mass in objects the rope is supporting will cause a change in tension in the rope. Don't forget the constant acceleration due to gravity - even if a system is at rest, its components are subject to this force. As an example, let's consider a system where a weight hangs from a wooden beam via a single rope see picture.Humans are biased and their opinions color their decisions.

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