What is Tension: Definition and 1000 Discussions

Surface tension is the tendency of liquid surfaces at rest to shrink into the minimum surface area possible. Surface tension is what allows heavier than water i.e., denser than water objects such as razor blades, insects (e.g. water striders), to float and slide on a water surface without becoming even partly submerged.
At liquid–air interfaces, surface tension results from the greater attraction of liquid molecules to each other (due to cohesion) than to the molecules in the air (due to adhesion).There are two primary mechanisms in play. One is an inward force on the surface molecules causing the liquid to contract. Second is a tangential force parallel to the surface of the liquid. This tangential force (per unit length) is generally referred to as the surface tension. The net effect is the liquid behaves as if its surface were covered with a stretched elastic membrane. But this analogy must not be taken too far as the tension in an elastic membrane is dependent on the amount of deformation of the membrane while surface tension is an inherent property of the liquid–air or liquid–vapour interface.Because of the relatively high attraction of water molecules to each other through a web of hydrogen bonds, water has a higher surface tension (72.8 millinewtons (mN) per meter at 20 °C) than most other liquids. Surface tension is an important factor in the phenomenon of capillarity.
Surface tension has the dimension of force per unit length, or of energy per unit area. The two are equivalent, but when referring to energy per unit of area, it is common to use the term surface energy, which is a more general term in the sense that it applies also to solids.
In materials science, surface tension is used for either surface stress or surface energy.

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  1. S

    Calculating Tension & Reactions in an Unbalanced Pulley System

    Homework Statement An unbalanced pulley 8in. radio. and 32.3 pounds weighing. It has a radius of gyration of 6in with respect to its axis. When a pair M = 100pie.lb applies, lifts a weight W = 96.6 pounds. In the position shown in the figure, the pulley has an angular velocity of 3 rad / sec...
  2. nysnacc

    Energy conservation with tension

    Homework Statement Homework Equations Conservative of energy mg(y2-y1) +1/2 k (s2-s02) = 1/2 mv12 +1/2 mv22 The Attempt at a Solution v1 = 0 at rest y2 = 0 bottom What I got is v2 = 8.20 m/s but not correct, I don't know how I can take into account the tension.. Fspring = -ks = -4000 N/m *...
  3. D

    Effect of friction on the tension acting on the string

    Homework Statement A weightless string passes through a slit over a pulley. The slit offers frictional force '##f##' to the string. the string carries two weights having masses ##m_1## and ##m_2## where ##m_2 \gt m_1##, then find the acceleration of the weights. Homework Equations...
  4. E

    What is the tension and velocity in a rope attached to a moving space station?

    Homework Statement You're attached to a space station moving at 25000 km/h at a distance of 500 km above Earth by a rope connected to a jetpack(force 3N). Your mass is 60kg. Using the jetpack you move to the maximum extension of the rope (6m) and activate the jetpack for 3s perpendicular to the...
  5. AAO

    Cart with Pendulum | Tension expression

    I am trying to derive an expression for the Tension T in the massless bar in the given photo. Where there is a cart that is moving only in the x-direction and the bar is rotating around a point pivoted at the cart with angle theta. The expression that I have is deduced from: ∑ F (towards...
  6. Cocoleia

    Use Kirchoff's laws to solve for tension and current

    Homework Statement http://postimg.org/image/ys43ylstp/ [/B] I need to find tension and current in each element of the circuit. I have included an image of what I have drawn so far for the circuit. http://postimg.org/image/ys43ylstp/ Homework Equations Kirchoff's laws. The Attempt at a Solution...
  7. donaldparida

    Is my understanding of tension force accurate?

    I was having a lot of trouble understanding tension force in a string. So i decided to write a sort of essay on it. Here it is: Tension/Tension Force 1.Tension/Tension force is the electromagnetic internal force transmitted through a rope, string, cable or a wire, when pulled taut by external...
  8. N

    Tension in an object moving with circular motion

    Homework Statement An object of mass 0.8kg is whirled round in a horizontal circle of radius 2m with a constant speed of 15ms-1. Calculate the tension in the string. The Attempt at a Solution So far I have calculated that the angular velocity is 7.5rads-1, the frequency is 1.19Hz and the time...
  9. moenste

    Tension in Each Rope: Calculating Force and Work

    Homework Statement A muscle exerciser consists of two steel ropes attached to the end of a strong spring contained in a telescopic tube. When the ropes are pulled sideways in opposite directions, the spring is compressed. The spring has an uncompressed length of 0.80 m. The force F (in N)...
  10. D

    How Does Tension Vary Along a Whirling Rope?

    Homework Statement A uniform rope of mass ##M## and length ##L## is pivoted at one end and whirls with uniform angular velocity ##\omega##. What is the tension in the rope at distance ##r## from the pivot? Neglect gravity. Homework Equations $$\vec{F}=m\vec{a}$$ The Attempt at a Solution...
  11. magnetpedro

    Help Me Find Thevenin's Equivallent: A Guide for the Circuit Impaired

    Hello guys, Can someone guide me through this problems solution? I need to find the Thevenin's Equivallent for this circuit, between A and B. I'm terrible at Circuits and I'm eager for some motivation and help. Thanks a lot in advance.
  12. Kaneki123

    How does tension in a string balance weight and cause acceleration in objects?

    Consider an example of a mass hanging by a string. The string is fixed at the other end. The mass will be at rest because weight of the object is balanced by tension in the string upwards.Consider another example in which the other end of the string is not fixed. Now if that object is coming...
  13. A

    Is my reasoning valid for solving this weight tension problem?

    Homework Statement See attached picture. Homework Equations Change in work = force x distance moved The Attempt at a Solution So I took the ratio AC/AB = 1/ $\sqrt{2} $ which I set equal to T/50 where T is the tension we want to find. Solving this gave me T=50/ $\sqrt{2} $. I just wanted to...
  14. MickeyBlue

    Tension in two wires at unknown angles

    Homework Statement An object at rest is suspended from two strings (A and B) as shown in the diagram, with A shorter than B. The object pulls on the point O with a force of 20 N. Each of the strings also exerts a force on the Point O. The angle between the strings at O is 90o. Which of the...
  15. M

    Acceleration and Tension in a Pulley System

    Homework Statement Consider the systems of 2kg and 5kg blocks. The 2kg block is resting upon a smooth frictionless horizontal surface and friction in pulley bearing is negligible. The 5kg block is suspended by a cord connected to the 2kg block. Determine the acceleration of system and tension...
  16. C

    Rolling & Pulley Homework: Find Max Mass for Cylinder to Roll

    Homework Statement A solid cylinder is attached by a rope on its center.It has mass of 5kg and is lying on a table.The other end of the rope is a block of mass m2 which is not on the table .if the coeficient of friction between cylinder and table is 0.2.Find the maximum mass 2 so that the...
  17. R

    Surface tension and surfactants

    I am struggling to understand the relation between surface tension and surfactants. When surfactants are added to say water they may have charge and head groups which influence surface motion due to repulsion and their size. However often when people refer to surface tension they refer to a...
  18. Z

    Tension of rod connecting two cylinders

    Homework Statement Two cyllinders of equal size and of mass M (one hollow, one solid) are connected along their common axis by a light rod and placed on an inclined plane with an incline of α (both cylinders are on the same height initially). The system of cylinders then begins to roll down...
  19. I

    Mass Relation in a Three-Mass Pulley System: Solving for Unknown Masses

    Homework Statement Find the relation between the mass of block 1 and the mass of block 2. Assume that the pullies are massless and frictionless and that the rope is inelastic. All masses are unknown. Possible answers: mblock2 = mblock1[/B] mblock2 > mblock1...
  20. S

    Fundamental frequency change because of bouyant force

    Homework Statement A rope has an end fixed and the other is passing through a pulley and has a body attached to it. The fondamental frequency of the rope is initially ##f_1=400 Hz##. If the body is then put in water the fondamental frequency of the rope becomes ##f_2=345 Hz##. If the linear...
  21. Auburn2017

    Work and Energy with Tension

    Homework Statement Refer to figure. Homework Equations U=Fs T=.5mv^2 Vg=mgh The Attempt at a Solution I am not exactly sure where to start. I would appreciate if someone could nudge me in the right direction and then go from there.
  22. S

    Can't get this tension derivation........

    Ok guys, i just don't seem to know anything about tension, i thought that it would always equal the weight that is suspended from the rope...But that does not seem to be the case...and also i don't get the issue of its direction. Anyways, suppose we have an atwood machine and two unequal masses...
  23. A

    Static Equilibrium Problem involving Moments

    Equations: Net torque=0=Net force I believe this is a static equilibrium question but can't figure out how to do it
  24. R

    Melt drop radius, surface tension and its density

    i am trying to figure out the relationship between diameter of a drop of liquid, its density and its shape. Can somebody explain to me the following two lines?
  25. C

    Compression in beam vs tension

    Homework Statement In my notes , I was told that shear stress is maximum at the neutral axis . The normal stress will be maximum at one end , while the another end will be minimum... Homework EquationsThe Attempt at a Solution Why the shear stress is maximum at the neutral axis ? When we...
  26. C

    Stress Distribution in Bent Beams: Compression vs Tension

    Homework Statement I have the bent beam like this . The inner part of beam undergo compression , right , so it shortens. Why the stress is minimum at here ? the outer part undergo tension , why the normal stress is maximum here ? This is from my notes http://imgur.com/a/H8fy4 Homework...
  27. Liub

    Ansys - only tension element

    Hi, What element should I use to model a tension-only (no bending stiffness) cable/chordae? The problem is that I need to use a hyperelastic material model with it. And LINK180 does not support the hyperelastic material model. Thanks!
  28. S

    Maximum force on rope and wavefunction

    Homework Statement A sinusoidal wave on a rope with linear density ##\mu=0.012 kg/m## is described in SI units by $$\xi(x,t)=A sin (kx-\omega t)= 0.15sin(0.8x-50t)$$ a) find the maximum acceleration of a rope element b) find the maximum transverse force on a piece of rope ##1 cm## long c) Show...
  29. B

    Calculate Tension in the String

    Homework Statement Two blocks are connected by a massless string that passes over a frictionless pulley. The coefficient of static friction between m1 and the table is 0.45. The coefficient of kinetic friction is 0.35. Mass m1 is 45kg and mass m2 is 12kg. Determine tension in the string. ***I...
  30. N

    Friction Problem Homework: Find Angle & Weight of Box

    Homework Statement An initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1100 N. The coefficient of static friction between the box and the floor is 0.35. (a) What should be the angle between the cable and the horizontal in...
  31. D

    What is the relationship between string tension and frequency on a ukulele?

    Homework Statement You have a ukulele and you change the strings tension so that it becomes tighter. First the frequency was 431 Hz and after we tightened the string the frequency. how much bigger does the force have t be to get that frequency? Homework Equations PA*V^2 = F (P = density, A =...
  32. BlueQuark

    Tension of wire attached to 45-kg ball.

    Homework Statement "A solid uniform 45-kg ball of diameter 32cm is supported against a verticle frictionless wall using a thin 30cm wire of negligible mass. A)Make a free body diagram for the ball and use it to find the tension in the wire. B)How hard does the ball push against the...
  33. arpon

    Tension Problem: Maximum Forces for Two Ropes Connected to a Body

    Homework Statement [/B] A body is connected at the middle with two different ropes as in the figure. The maximum force that rope A can resist is 60 N, and for rope B its 50 N. What will happen if someone apply a downward force at the loose end of rope B, a) gradually b) very fastHomework...
  34. D

    Can Rain and Other Weather Effects Generate Electricity?

    can anybody tell me how to transfer tension energy into electricity, new project i am doing is to do with, if the force of rain can be transferred somehow using a tensioned material. (like a solar panel) and if so is it possible to actually create energy off of this and turn it into electricity...
  35. C

    What angle will the vine break and what's the max tension?

    Homework Statement You come to a river and you see a vine you will use to swing across. Your mass is 75.0 kg, the vine is 18.0 m long, and the vine breaks when under 655 N of tension. a) at what angle from the vertical will the vine break? b) what should be the maximum tension supported by the...
  36. N

    Solving Tension in Rope for Homogeneous Rod

    Homework Statement I'm sorry, I'm not the best in English, but I'll try to translate it. A homogenous rod with length 5.0 m and mass 40 kg, is connected to a pole at 70* at point A. The rod is held in place with a rope that makes 50* with the pole, and is connected to the rod 1.0 m from the...
  37. defaultusername

    Tension and Angle Analysis for Traction in a Broken Leg

    Homework Statement An accident victim with a broken leg is being placed in traction. The patient wears a special boot with a pulley attached to the sole. The foot and boot together have a mass of m = 4.0 kg, and the doctor has decided to hang a 6.0 kg mass from the rope. The boot is held...
  38. Q

    Find the tension in the rope pulling a box at an angle

    Homework Statement Homework EquationsThe Attempt at a Solution Here is what i have done so far: Fx = cos 45 T - Ff =ma Fy=sin 45 T -mg+ Fn =ma I found ff= uk * Fn = 0.5 *sin 45 +mg fn = sin 45 +mg Isolated for T in the x and y: Tx = ma + Ff / cos 45 = 13.404 Ty = ma +mg - Fn / sin 45 =...
  39. V

    Solving a Bubble Puzzle: Understanding Surface Tension Force

    Homework Statement Homework EquationsThe Attempt at a Solution Pressure inside bubble = 2T/R Buoyant force on bubble = ##\frac{4}{3} \pi R^3 ρ_w g ## But I do not understand how surface tension is exerting force on the bubble .Also I do not understand the direction of surface tension force...
  40. B

    Question about Centripetal Force

    Homework Statement Question 2.b. from this paper - http://www.sqa.org.uk/files_ccc/PhysicsEQPAH.pdf Homework Equations let theta = x Tcosx = mg Tsinx = 2.5 (2.5 is the centripetal force) The Attempt at a Solution I rearranged the above equations and got 52 degrees as my answer. The...
  41. KishoreAM

    Surface Tension: Pressure Diff & Cross-Sectional Area Explained

    Hi Guys... I have a small doubt regarding surface tension. When calculating the relation between Pressure Difference inside and outside a Droplet and Surface Tension, we multiply Pressure Difference with Cross Sectional Area of the Droplet and equate it to the Surface tension force. My doubt is...
  42. W

    Required conditions for vertical circular motion to occur?

    For the case of a particle attached to an inextensible string which is hanging at rest and then provided an impulse horizontally, what conditions must the system meet in order to allow for COMPLETE circular motion. I am well aware the tension at the apex of the motion must be satisfy one of the...
  43. ItsAnshumaan

    What is the tension in the rope?

    Homework Statement In order to raise a mass 'm' a man ties it to a rope and passes the rope over a friction less pulley. He climbs the rope with an acceleration 3g/2 relative to the rope. If the mass of the man is m/2 and the mass of the rope is negligible, the tension in the rope is a) 3mg/2...
  44. J

    What is the tension supporting one ball?

    Homework Statement Two identical conducting balls, b1 and b2, each with a mass of 25.0g both are hanging at 50.0cm at an angle of 45Degrees from the vertical each. Homework Equations Fg = mg Fe = kq/r^2 Ft = ? The Attempt at a Solution I made a free body diagram and am confused on what to do...
  45. X

    Clarification on tension problem

    I'm having trouble solving this problem. I did Google the solution with the steps, which I managed to actually get right in all aspects except for a small part in the trigonometry that throws me off. I drew my FBD's correctly, hopefully. I'm not sure how I can draw nice looking FBDs online...
  46. RoboNerd

    Question on pendulum and cord tension

    Homework Statement A pendulum consists of a bob of mass A hanging from a string of non-zero mass m. Its maximum displacement is p/4 [whatever that p means, I do not know. the question writers do a poor job of writing questions]. What is true of the tension in the string? 1) It is greatest...
  47. E

    Tension is causing me to be tensed

    There's two questions about tension(the force), that no matter how much I try to find answers to and understand since the past few days, I'm simply not able to. Any help in this matter would be highly appreciated. 1) If person A and person B are holding a rope, and person A applies 100N of...
  48. H

    Solve Tension of String Homework Statement

    Homework Statement Hi, sorry, I am not good at writing English, but I am trying. I hope that someone helps me solve the following problem. http://hodol.kr/q.jpg Please refer to the figure above. A stick(AB) of length 5 is leaning against the Wall(AO) and a string(CO) is tied at the...
  49. U

    Tension on a string attached to two objects

    Homework Statement A person would like to pull a car out of a ditch. This person ties one end of a chain to the car's bumper and wraps the other end around a tree so that the chain is taut. The person then pulls on the chain perpendicular to its length. If the distance between the car and tree...
  50. Planetx

    Calculate Tension of Two Wires: Physics/Precalc

    I am tasked to find the tensions of two wires by calculating the "magnitude of the vector" in a high school physics/precalc class. I have tried working out the equation in several ways but they all end up in an unsolvable format. So, in reference to the picture, A = 35 degrees, B= 30 degrees and...
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