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. W

    Direction of Tension: FBD Down vs Up

    Homework Statement why i figure b , the direction of FBD is in downward direction , whereas in a , its in upward directon Homework EquationsThe Attempt at a Solution
  2. Scorry

    Vector Decomposition and Trig in Tension Force Analysis

    Homework Statement This is a solved problem. It is attached. Why is sin theta horizontal, and cosine theta vertical? Homework Equations All relevant equations are given. The Attempt at a Solution The solution is given.
  3. J

    Find tension and angle from second rope

    Hi, I am having a seemingly hard time trying to find the tension in this rope. I've looked everywhere for a problem with these given variables but I found none. Here we are given: T1, T1 angle, mass of man and that is all. I included the picture here.The Attempt at a Solution I found, t1y, which...
  4. J

    Tension between two masses and three ropes

    Homework Statement The system is in equilibrium with the center string exactly horizontal. Find T1, T2, T3, and theta Homework Equations T1cos(angle1)-T2cos(angle2)=0 T1sin(angle1)+T2(angle2)-mass1=0 The Attempt at a Solution Currently working on mass 1 When making free body diagrams for...
  5. R

    Acceleration & tension in a cable

    Homework Statement Homework Equations F=ma The Attempt at a Solution Does the total Force F=50N divide evenly between m1+m2 and m3? Meaning the tension between m1/m2 & m3 is 25N given m1+m2=m3. Also, is the acceleration between m1/m2 & m3 the same as the acceleration at m3...
  6. Kingyou123

    I'm I on the right track? Tension question

    Homework Statement Three masses as shown below are resting on a horizontal, frictionless surface. The blocks are connected by massless, frictionless ropes. A force F of 60 N acts on the system as shown. Find the tensions in each of the other two ropes. m1= 10kg, m2 = 20 kg and m3 = 30 kg...
  7. L

    Acceleration and Tension in Multiple Pulleys

    Homework Statement Block "m1" sits on a horizontal frictionless surface. Block "m2" is hanging below the pulleys as shown. All of the pulleys are massless and frictionless. Given [m1, m2]. Determine: a. The tension in each rope. b. The acceleration of each block. Homework Equations Sum(F) =...
  8. W

    Free body diagram of pin support and cable

    Homework Statement A) Draw a free body B) determine the tension in rope A and the reactions in B. Homework Equations [/B] Standard equilibrium equations The Attempt at a Solution My free body shows a collinear force T through the rope, the given downward force at 5ft, and then a Bx and By...
  9. T

    Find the Tension in a Flexible Chain Resting on a Cone

    Homework Statement A loop of flexible chain, of total weight W, rests on a smooth, frictionless right circular cone of base radius r and height h. The chain rests in a horizontal circle on the cone, whose axis is vertical. Find the tension in the chain. Homework Equations Virtual work, but...
  10. V

    Determining equations for tension in 3D statics problem.

    Homework Statement The steel beam is supported by cables AB and CD and a ball-and-socket joint at O. The position of the vertical point load, P influences the reaction at O as well as the tension in each cable. First you need to derive the equations for the tension in cable AB, the tension in...
  11. DanielleG

    Tension and Pulleys theory question

    Homework Statement 17. Give the correct tension, T, in the marked rope for each situation. The rope is held so the system is stationary. All ropes and pulleys are massless and frictionless. A) T = W B) T = W/2 C) T = W/3 D) T = 2W E) T = 3W/2 F) T = 2W/3 G) T = W/7 H) T = W/5...
  12. T

    Tension in a rope in an accelerating towplane (AP French 7-1)

    Homework Statement AP French Mechanics Problem 7-1 Two identical gliders, each of mass m, are being towed through the air in tandem. Initially they are traveling at a constant speed and the tension in the tow rope A is T(sub0). The tow plane then begins to accelerate with an acceleration A...
  13. DanielleG

    Centripetal Force Theory Questions

    Homework Statement Answer True, False, or Cannot tell to each of the five statements below. A small projectile is launched horizontally 1 m above the surface of a smooth, airless planet, with sufficient speed for orbit. A bug riding in a small hole in the projectile has apparent weight...
  14. G

    Finding tension in string in vertical circle

    Homework Statement [/B] Your niece finds her father's watch. The light watch chain has a length of 48 cm, and the mass of the watch is 270 g. Your niece swings the watch in a vertical circle, maintaining the speed of the watch at 2.3 m/s. Find the tension in the chain when it makes an angle of...
  15. F

    Can you find tension on a string without mass

    So my pulley system has 3 masses two of which are connected to a center mass on top of a table. No mass was given for any of the objects but of two masses hanging from the table, the one on the right is 2 times the mass on the left. I hope I haven't confused you but its like a three step diagram...
  16. Y

    Tension on cable CD when moment on A is Zero.

    Homework Statement Looking for the tension in cable Tcd when the moment on A is equal to 0. P1 = 73N. I’ve had several attempts but I can’t seem to obtain the answer, which is 110,8 N. Can anyone help me with this question? Homework EquationsThe Attempt at a Solution
  17. J

    Tension at the lowest point of a hanging chain

    Homework Statement Chain of mass M hangs between 2 walls with its ends at the same height. The chain makes an angle θ with each wall. Find the tension at the lowest point of the chain. a) By considering the forces on half of the chain. b) By using the fact that the height of the chain is...
  18. D

    What angle does the hanging mass make?

    Homework Statement At a latitude of 50° north a mass is hanged by a massless string. By the means of an angle how much does the mass deviate from the Earth's radius due to rotation of the earth? Consider the Earth as a spherical body. Homework Equations Fcp=mv^2/r w=dθ/dt v=wr The Attempt at a...
  19. TheNeezoMan

    Tension and acceleration of a sled?

    Homework Statement A heavy sled is being pulled by two people as shown in the figure. The coefficient of static friction between the sled and the ground is μs = 0.579, and the kinetic friction coefficient is μk = 0.435. The combined mass of the sled and its load is m = 336 kg. The ropes are...
  20. K

    Unsolvable tension force problem

    This was a problem on an exam that our professor later discovered was unsolvable THE WAY HE POSED THE QUESTION. First off, it's important to note that this is from a statics class, therefore Fnet = 0 will be true for all problems in our course. So here's my thoughts on this and I would like to...
  21. Lana Elcic

    How Do You Calculate the Tension in a Wire Supporting a Sign?

    Homework Statement [/B] A sign with a mass of 27 kg is hanging in two wires both making an angle of 25 degrees with the vertical. Find the tension in one of the wires. Give your answer in Newtons (N) and with 3 significant figures. Homework Equations Ftens=gravity/sin(x) ? The Attempt at a...
  22. G

    Toaster Cord Tension Angle Optimization

    Homework Statement A 1.26kg toaster is not plugged in. The coefficient of static friction between the toaster and a horizontal countertop is 0.395. To make the toaster start moving, you carelessly pull on its electric cord. For the cord tension to be as small as possible, you should pull at...
  23. L

    Rock climber tension in rope

    Homework Statement A 65kg rock climber is abseiling down a rock, consider the situation when he's in equilibrium and standing at an angle on the surface of the rock, hanging from a rope. The rope is at an angle of 40 degrees to the horizontal, calculate the tension in the rope Homework...
  24. thegreengineer

    Vector mechanics for engineers -- Confusion described below

    Homework Statement Look I have an exercise about trusses in vector mechanics. It's the following: https://scontent-lax3-1.xx.fbcdn.net/hphotos-xfp1/v/t1.0-9/12003339_1645511085733429_8210043018491702007_n.jpg?oh=4955534403fb6f3f5f9a40c9c0b8ecbc&oe=569761ED I have to determine the forces in...
  25. Jonski

    Reaction Force, find tension, a in the tangential, or alpha

    Homework Statement The diagram shows the instant when a long slender bar of mass 4.9 kg and length 4.9 m is horizontal. At this instant the mass m= 6.5 kg has a vertical velocity of 4.0 m/s. If the pulley has negligible mass and all friction effects may be ignored, what is the magnitude of the...
  26. D

    Finding Tension of a string tied to a wall

    In the figure we see two blocks connected by a string and tied to a wall, with θ = 33°. The mass of the lower block is m = 0.9 kg; the mass of the upper block is 4.0 kg. Find the tension in the string that is tied to the wall. -I have the forces of Block A as Tension, Normal Force, and Gravity...
  27. G

    Tension in System: 4.22 kN | Working Explained

    Homework Statement I was asked to find the tension in CD in this question . The ans given is 4.22kN. my working is arc tan (surd 13)/12, tetha = 16.7 degree CD cos (16.7) = 20kN CD= 21kN. p/s: i have used pythagora's theorem to fe the surd 13 Homework EquationsThe Attempt at a Solution
  28. moenste

    Tension between two objects moving at constant velocity

    Homework Statement A railway engine of mass 100 tonnes is attached to a line of trucks of total mass 80 tonnes. Assuming there is no resistance to motion, find the tension in the coupling between the engine and the leading truck when the train: (a) has an acceleration of 0.020 ms-2, (b) is...
  29. M

    Tensile/Bearing stress in a cantilever member.

    Two steel straps are use to hold member BCD level. The size of each strap is 12 mm thick and 50 mm wide. A 16 mm diameter bolt is used to connect thesteel straps to the 89 x 89 mm post at A. A 25 kN is applied at the free end of the cantilever at point D. Determine: the tensile stress developed...
  30. erickbq

    [Statics - Torques] Determining the tension of a string

    Homework Statement A 10.0kg sphere is attached to the incline by a horizontal string. Determine the tension in the string. Homework Equations (F⃗ net)x=ΣFx=0 (F⃗ net)y=ΣFy=0 Στ=0 τ = (radial disance)(F) The Attempt at a Solution 1. I began by determining all the relevant forces associated...
  31. Chrono G. Xay

    Tension (and Frequency) with Change in Temperature

    At one point I had been trying to construct an equation which would calculate the tension on a tuned string with a change in temperature (and therefore the fundamental frequency), but found my calculations were wrong. By extension, the purpose of the project was to be able to calculate what...
  32. Physkat

    Circular Motion with Tension and Finding Angle

    Homework Statement A 0.020-kg mass is attached to a 1.2-m string and moves in a horizontal circle with a constant speed. The tension in the string is measured at 0.200 N. What is the measure of angle θ? Homework Equations ∑F=ma, a=v^2/r The Attempt at a Solution I broke down the forces at...
  33. D

    I am lost, how do I find tension of a rope given A and M?

    Homework Statement A rope is used to lower a 1.1 kg bucket into a well at an acceleration of 1.9 m/s2. Determine the tension in the rope (in Newtons). Assume that air resistance is negligible and the acceleration due to gravity is -9.8 m/s2. Take the positive direction to be upward. Homework...
  34. O

    Solving 2D Force Systems: A Guide for Calculating Equilibrium

    Homework Statement I attached a picture of the question. Homework Equations ∑Fx=0 ∑Fy=0 100kg(9.8)= 981 N I am not sure how to start this problem. Everything else in this chapter is a breeze so perhaps a small insight or how to start would be sufficient, thanks.
  35. Titan97

    Problem on conservation of momentum and collision

    Homework Statement Three identical balls (of equal masses) are connected by light inextensible strings and kept on a smooth horizontal surface. The middle ball B is given a velocity ##v_0## at ##t=0##. Find the velocity of ball A when A collides with C. Homework Equations Impulse ##J=\Delta...
  36. A

    Determining Tension & Lift Force for Helicopter & Truck

    Homework Statement A 15000-kg helicopter is lowering a 4000-kg truck by a cable of fixed length. The truck, helicopter, and cable are descending at 15.0 m/s and must be slowed to 5.00 m/s in the next 50.0 m of descent to prevent damaging the truck. Assume a constant rate of slowing. Determine...
  37. L

    How do you find tension and friction on an inclined plane

    Homework Statement How do you find tension and friction on an inclined plane given acceleration, two masses and an angle? It's a pulley system, I suppose. Here's a diagram I drew: http://postimg.org/image/m9v9i2qy5/ Homework Equations Fg = ma The Attempt at a Solution I was thinking that I...
  38. Hamza Abbasi

    Tension in the string and tangential accleration

    Homework Statement A particle of mass m is whirled on the end of a string of length R. The motion is in vertical plane in Earth's gravitational field . The instantaneous speed is v when the string makes angle Ө with the horizontal. Find the tension T in the string and the tangential...
  39. Titan97

    Work Done by Tension: Exploring Effects

    When a particle is attached to a rope and rotated, then tension acts perpendicular to displacement and work done is zero. But I am thinking about this case (top view): Here, the rope is attached to a vertical cylinder and the particle is given a velocity perpendicular to the rope. The length...
  40. O

    Easy statics problem -- Block being hoisted by a pulley and rope

    I drew a FBD about point A and came up with the two equations: ∑Fx=0 20sinθ - T-ab(cos70)=0 ΣFy =0 -20cosθ + T-ab(sin70) -20=0 My answer is not coming out so I either messed up on the FBD or the equations, some help would be appreciated. I'm on 3-10 by the way.
  41. V

    Tension on Rope in Elevator: Find the Right Formula

    Homework Statement An empty elevator of mass 2.7×103 kg is going down by a cable at an acceleration of 1.2 m/s2. What is the tension in the rope pulling the lift? Homework Equations ## T=m(g-a) ## The Attempt at a Solution ## T=m(g-a) \\ \Rightarrow T = 2.7 *10^3 (9.8-1.2) \\ \Rightarrow T=...
  42. Priyadarshini

    A Uniform Rod Is Attached To A Point With A String---Moments

    Homework Statement Use the principle of moments and take moments about A to show that the weight of the object O is 19 N.Homework Equations Moment=Force x perpendicular distance The Attempt at a Solution Vertical component of tension= TsinA...
  43. R

    Match on water sustained by surface tension

    Homework Statement A match of length l=4cm is floating on the surface of the water from a glass. ( the water is at room temperature) If from on one side of the match we pour a few drops of soap, the match starts moving. In which direction is the match mooving and what force is acting upon it? (...
  44. A

    How Is the Mass of a Board Determined Using Torque and Tension?

    Hi All, I'm confused with a particular question and I'm not entirely sure how the answer was derived. A one-meter board with uniform density hangs in static equilibrium from a rope with tension T--The rope is connected .2m from the left end. A weight of 3kg hangs from the left end of the...
  45. A

    Tension force and a board fixed to a flat surface

    A heavy board is fixed to another flat surface along its entire upper edge and not moving. How can I find the tension force that is acting on the board? Is it the same as if the board would be fixed to a string in the middle of the upper edge and hung and then the tension would be T=mg?
  46. Titan97

    Newton's law problem on homogeneous flexible rope

    Homework Statement A homogeneous flexible rope rests on a wedge whose sides make angles α and β with horizontal. The centre of rope lies on C. With what acceleration should the wedge be moved for the rope to stay stationary with respect to wedge? (all surfaces are smooth). Homework Equations...
  47. oreo

    Is the Pulley Reacting to Tension in Lifting Rope?

    Suppose a pulley is lifting a mass through rope so the rope is applying force to mass in form of Tension. Is the rope also applying that force to pulley i.e Is pulley being acted upon by Tension??
  48. S

    Statics: tension in cable holding gate closed

    1. Homework Statement The tension in the cable is 800LBs. Find the depth of water that produces this tension. The gate is hinged at B; the cable is attached at A. (Figure 1)Homework EquationsThe Attempt at a Solution OK, so this is just 2 opposing lever arms: the tension in the cable is...
  49. A

    Solving Tension in Wires for Fixed Plate

    Homework Statement A plate is fixed to the ceiling by two wires and to the wall by a single wire. The wall wire is cut. Calculate the tension in the two remaining wires. mass = 800 kg g = 10m/s² Dimensions in sketch Homework EquationsThe Attempt at a Solution Equations: Ra*cos30 + Rb*cos30 =...
  50. L

    Two hanging masses and three strings

    Homework Statement Two masses m and M (where M = 2m) are attached with strings. One mass m is suspended from a single verticle string held by two strings each at 45 degrees to the horizontal. The suspending string to the left at 45 degrees is attached to a fixed point. The string on the right...
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