What is Rope: Definition and 834 Discussions

A rope is a group of yarns, plies, fibers or strands that are twisted or braided together into a larger and stronger form. Ropes have tensile strength and so can be used for dragging and lifting. Rope is thicker and stronger than similarly constructed cord, string, and twine.

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  1. B

    Finding the Tension in a Hanging Rope: A Mathematical Approach

    Homework Statement A block of mass M hangs from a uniform rope of length L and mass m. Find an expression for the tension in the rope as a function of the distance y measured vertically downward from the top of the rope. Homework Equations For the System: W = (m + M)g = T The...
  2. B

    Tension of a Rope Connected to Two Identical Blocks on a Rough Table

    Homework Statement two identical blaocks each of Mass M are conneted by a light inextensible string and can move o the surface of a rough horizontal table. The blocks are being towed at constant speed in a straight line by a rope attached to one of them. The tension in the tow rope is T(0)...
  3. D

    A rope and a frictionless table

    Homework Statement A rope of mass M and length L lies on a frictionless table, with a short portion L0 hanging through a hole. Initially the rope is at rest. Evaluate A and B so that the initial conditions are satisfied. The Attempt at a Solution Ok, so I understand the problem and...
  4. C

    Solve the Ship & Rope Problem: Find Time for Rope to be Wet

    So this one should be simple to solve with some maths. There is a boat of height 15 metres (measured from sea-level) and there is a rope hanging from its deck so that the distance from the sea-level is half the third of the boat's height. It is given that the sea-level is rising at the...
  5. D

    Will M1 Spin Around M2 When Rope is Cut?

    Ok this device is spinning around the center of mass(CM). CW------CM--------------M1---M2 while at full speed the roap is cut like so CW------CM-------------- M1---M2 does M1 spin around M2? It seems simple enough but I can't find the answer.
  6. S

    Resolve Debate: Wire Rope End Loop & Crimp Forces

    hello all i was wandering if anyone can help resolve a debate a friend and i were having. in the case of a wire rope end being looped and crimped then attatched to a weight are the forces on both sides of the loop equal if not what is the ratio and what forces is the crimp subject to? any...
  7. R

    Work done by the rope and power of electric motor

    Hello friends, pls help me.I need the answer to the following questions 1) A massive box is dragged along a horizontal floor by a rope.The rope makes an angle of 30 degrees with the horizontal.Find the work done if the tension in the rope is 200N and the box is moved through a distance of...
  8. R

    Wire Rope Pulley - Finding the Right Size for Your Needs

    Hi, I have this pulley that is intended to drive a short length of steel cable back and forth. A picture of the pulley should be attached to this post. Alternatively, you may view it at photobucket here In this capacity, it had the cable attached to the pulley in the middle of the height...
  9. D

    Brainteaser: Solve the Rope Puzzle with Matches!

    Hey all, I came across this fun little brainteaser, I hope you all enjoy! You are given two pieces of rope, and a book of matches. The two pieces of rope are in no way alike, they are different lengths and widths. All you know about the two pieces of rope is that if you were to light one...
  10. P

    Solving Force in a Stretched Rope: Applying Hooke's Law

    The problem: See attachment for figure. (1) A rope with a spring constant k is stretched by a force F.The length of the rope is l (including the deformation). (2) A force mg is then applied at l/2 on the rope. This results in a height difference between the highest (and unchanged point) and...
  11. S

    What is the force exerted by a falling rope on a scale with two components?

    Homework Statement A uniform flexible rope is suspended above a scale, with the bottom of the rope just touching the scale (gravity points downward). The rope has a length L and a total mass of M. The mass is uniformly distributed along it's length. The rope is released. After a length x<L...
  12. W

    Wave Propagation in a Hanging Rope: Time for Reflection and Return

    Homework Statement A uniform rope of length L and negligible stiffness hangs from a solid fixture in the ceiling The free lower end of the rope is struck sharply at time t=0. What is the time t it takes the resulting wave on the rope to travel to the ceiling, be reflected, and return to the...
  13. D

    Will the Wire Rope Break or the Winch Motor Stall First?

    We have a winch that lifts a load weighing 25kg up a shaft 30m deep. A 2mm Dia wire rope goes up the shaft over a guide pulley and down to the winch reeling drum. There is a load cell on the guide pulley. The question is this. "If the load cell fails and the load being lifted gets snagged on...
  14. M

    How do you calculate the tension in a rope supporting a rectangular box girder?

    Hey, I am having difficulty with this question, thanks guys. Homework Statement Two chain slings, one at each end, are used to support a rectangular box girder of mass 8 tonne. The length of each sling chain is 5m. The rectangular cross sectional shape of the box girder has dimensions of 1.5m...
  15. F

    Wave Propagation in a Hanging Rope: Speed at Top vs Bottom

    Homework Statement If a wave is started up a long rope hanging from the ceiling, it will not climb at constant velocity. Why? Will the wave be traveling faster or slower at the top than the bottom? (Hint: Is the tension of the rope a factor?) Homework Equations v=square root...
  16. L

    By what factor would the energy carried by the rope change

    Homework Statement The amplitude of a wave in a rope is 15 \ mm. If the amplitude were changed to 20 \ mm. Keeping the frequency the same, by what factor would the energy carried by the rope change? Homework Equations intensity \propto (amplitude)^2 The Attempt at a Solution...
  17. T

    Tug of War: Net Force on Rope?

    Homework Statement In a tug of war two boys exert an equal force of 30N. What is the nett force on the rope? Homework Equations The Attempt at a Solution Since there is a tensile force on the rope will it be 30 N? (When a spring replaces the rope it will elongate by 'x'. So the...
  18. S

    Friction and Acceleration: Solving a Rope Pulling Problem

    Homework Statement A student pulls on a rope attached to a box of books and moves the box down the hall. The student pulls with a force of 185N at an angle of 25.0 degrees above the horizontal. The box has a mass of 35.0kg and a mu between the box and the floor is 0.27. Find the acceleration...
  19. F

    Gravitational Potential Energy of a rope

    The problem states that: "Bruce stands on a bank beside a pond, grasps the end of a 10.0m long rope attached to a nearby tree and swings out to drop into the water. If the rope starts at an angle of 35 degrees with the vertical, what is Bruce's speed at the bottom of the swing? Variables...
  20. R

    Min Length of AC to Maintain Tension in Triangle: 4000N

    http://users.on.net/~rohanlal/Q10.jpg The rope connected to the triangle is pulling away at 3000N i need to determine the minimum length of ac so that the tension in either ab or ac does not exceed 4000N. AC and BC are the same length.
  21. F

    How can tension be the same along all points in a rope?

    Consider the following problem: The distance between two telephone poles is 50.0 m. When a 1.00-kg bird lands on the telephone wire midway between the poles, the wire sags 0.200 m. How much tension does the bird produce in the wire? Ignore the weight of the wire. The tension is 613 N. But...
  22. J

    How Much Does the Rope Stretch When a Circus Performer Hangs at Rest?

    A 55.0 kg circus performer oscillates up and down at the end of a long elastic rope at a rate of once every 2.60 s. The elastic rope obeys Hooke's Law. By how much is the rope extended beyond its unloaded length when the performer hangs at rest? Can someone help me to find the answer step by...
  23. F

    What Is the Tension in a Rope with Unequal Opposing Forces?

    Homework Statement If a rope were being pulled in opposite directions with two opposing forces, one being 5 N and the other 7 N, what is the tension of the rope? Homework Equations The Attempt at a Solution Since the rope would be accelerating in the direction of the force of 7 N, the reaction...
  24. S

    Blocks connected by rope, Newton's Third Law

    The figure shows two 1.0 kg blocks connected by a rope. A second rope hangs beneath the lower block. Both ropes have a mass of 250 g. The entire assembly is accelerated upward at by force. What is F? What is the tension at the top end of rope 1? What is the tension at the bottom end of rope 1...
  25. M

    Finding Tension in Rope connected to rod

    The rod has rollers at both ends and rolls down the wall and to the right as a force is applied (80lbs), the rope is connected to the wall at 2 feet and to the end of the rod, as a force is applied to the rod there becomes a tension in the rope. Find the Tension in the Rope due to the rod...
  26. D

    Specify the minimum block mass needed to safely secure the rope

    A temporary mooring is to be set up on a concrete jetty. The mooring rope will exert a force (along the line of the rope) of 100 kN, and the maximum angle to the rope from the horizontal is 20 degrees. Specify the minimum block mass needed to safely secure the rope. Take the static coefficient...
  27. G

    How do you calculate work in a vertical rope and mass problem?

    [SOLVED] Work problem A vertical rope is used to lower a mass 44.9 kg at a constant acceleration of magnitude 4.57 m/s2. Find the work done by the tension in the cord if the mass moves down distance 2.66 m. W = F (change in X) First, I tried to get the tension by: -T + mg = ma -...
  28. P

    Conservation of Mechanical Energy in rope swing

    Homework Statement Tarzan and Jane, whose total mass is 130.0 kg, start their swing on a 5.0 m long vine when the vine is at an angle of 30 degrees with the horizontal. At the bottom of the arc, Jane, whose mass is 50.0 kg, releases the vine. What is the maximum height at which Tarzan can...
  29. K

    Two blocks with different mass are attached to either end of a light rope that passes

    Homework Statement Two blocks with different mass are attached to either end of a light rope that passes over a light, frictionless pulley that is suspended from the ceiling. The masses are released from rest, and the more massive one starts to descend. After this block has descended a...
  30. I

    Object at rope: work to lift it

    An old oaken bucket of mass 6.75 kg hangs in a well at the end of a rope. The rope passes over a frictionless pulley at the top of the well, and you pull horizontally on the end of the rope to raise the bucket slowly a distance of 4.00 m. So far, I have: F = force exerted by me s =...
  31. S

    Determine the smallest diameter rope that can safely support

    An artist friend of yours needs help hanging a sculpture from the ceiling. For artistic reasons, she wants to use just two ropes. One will be from vertical, the other . She needs you to determine the smallest diameter rope that can safely support this expensive piece of art. On a visit to the...
  32. E

    Will the Rope Hold the Archaeologist Safely?

    An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope . The rope will break if the tension in it exceeds 2.95EE4 (2.95 x 10^4) , and our hero's mass is 93.8 . <img...
  33. G

    Girl Climbing Rope: Avg Speed & Work Calculated

    Homework Statement A 55.0 kg student climbs a 4.00 m long rope and stops at the top. (a) What must her average speed be in order to match the power output of a 200-W lightbulb? (M/S) (b) How much work does she do? (J) Homework Equations Well if i had to guess...they might be...
  34. J

    Webpage title: Solving for Tension in a Rope Problem

    A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 565 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the...
  35. D

    I to calculate forces on steel rope

    i would like to find out the method to calculate loads on a rigging bridal, the situation, a weight needs to be hung at a point between two roof beams, so it is hung on two steel wire ropes from the beams of an suitable length to achieve the correct position, from this i would have all the...
  36. P

    How Is Tension Calculated in Tarzan's Rope Swing?

    Tarzan, who weights 688 N, swings from a cliff at the end of a convenient vine that is 18 m long. From the top of the cliff to the bottom of the swing, he descends 3.2 m. How much work is done by the rope during Tarzan's swing? You would probably use the equation U = mgh and k = 1/2mv^2 so...
  37. C

    Solving a Ladder Problem: Finding Max Tension in a Rope

    Homework Statement A uniform ladder of weight WL and length L has its top against a vertical wall with friction coefficient μW and its foot on a smooth horizontal floor. A rope is attached to the foot of the ladder and secured to the base of the wall, with the ladder making an angle α...
  38. S

    Tension in a rope on frictionless pulley

    Homework Statement A 4kg object is palced on a table with a coefficient of friction of 0.2, and attached to a rope. This rope is run through a frictionless pulley, and attached to an 8kg weight. What is the tension in the rope? Homework Equations F=ma F of friction = (coefficient of...
  39. S

    What is the Young Modulus of Nylon Rope?

    Homework Statement The problem is that I do not have a way of making a nylon rope young modulus stress/strain graph I did not know is anyone would be able to help me obtain the information on the stress and strain or if your feeling really nice make me up a graph! young modulus = stress...
  40. D

    Calculating Force on a Vertical Wire Rope with 20kg Weight

    OK here goes... I have a 20kg weight attached to a 10 meter long wire rope. The rope is fixed vertically to a cross beam. The rope has an elastic stretch limit of 47.5 kN/mm^2. If I lift the 20kg weight up 1 meter and then let it go what would the maximum force exerted by weight be on the...
  41. F

    Swinging on a rope minimum horizontal speed

    A hiker plans to swing on a rope across a ravine in the mountains, as illustrated in the figure, where L = 4.9 m and x = 2.7 m, and to drop when she is just above the far edge. At what minimum horizontal speed should she be moving when she starts to swing(in m/s)? I tried using the...
  42. D

    Mulyiplying the effect on the load in a rope system?

    Alright, so this is a crude drawing of my current system set-up: http://img233.imageshack.us/img233/3570/loadtx3.png So what I want is a "multiplication" effect, like a 2 inch movement on the "A" side will cause a 4 inch movement on the load side. So what should I put in the red...
  43. S

    Calculating Tension of Rope with Parallel Forces

    [SOLVED] parallel forces A uniform 2.50-N meterstick is hung from the ceiling by a single rope. A 500.0-g mass is hung at the 25.0-cm mark and a 650.0-g mass at the 70.0-cm mark. (a) what is the tension of the rope? (b) where is the rope attached to the meterstick?Well, first I converted all...
  44. S

    Solving Nylon Rope Fracture Problem Up to 25 kg Lift Height

    Homework Statement A 25 kg object is being lifted by pulling on the ends of a 1.00 mm diameter nylon string that goes over two 3.10 m high poles that are 4.5 m apart, as shown in Figure 9-87. How high above the floor will the object be when the string breaks? *see attached picture* The...
  45. J

    Why is mg=mv^2/r for centripetal motion instead of mg+T=mv^2/r?

    Hi, for this question http://tinyurl.com/2qgco5 this is the solution for (b) http://tinyurl.com/yrl64q May I know why for centripetal motion, it is mg=mv^2/r, but not mg+T=mv^2/r (T is the tension of the rope)?
  46. S

    Torque exerted on trap door by rope

    Homework Statement A trap door, of length and width 1.55 m, is held open at an angle of 65.0° with respect to the floor. A rope is attached to the raised edge of the door and fastened to the wall behind the door in such a position that the rope pulls perpendicularly to the trap door. If the...
  47. M

    How much tension must a rope withstand if it is used to accelerate a 1400 kg car

    [SOLVED] Rope Forces Homework Statement How much tension must a rope withstand if it is used to accelerate a 1400 kg car vertically upward at 0.50 m/s2? Homework Equations F=ma The Attempt at a Solution Well i know that the force going up is going to be 700 N and i need to...
  48. C

    Solving the 50-Minute Rope Burning Puzzle

    You have got two ropes. Every rope is burning in a space of one hour. Burning speed of these ropes is not proportional. I mean, half rope not necessarily will burn in a space of half hour. How can you measure out 50 minutes, using these ropes and fire only?
  49. F

    Help Jane & John Pull a Rope: Solve Acceleration & Meetup

    Here is a question: Jane and John with masses of 51kg and 62kg respectively, stand on a frictionless surface 13m apart. John pulls on a rope that connects him to JAne, giving jane an acceleration of .92 m/s*s toward him. a. What is Johns acceleration?? b. IF the pulling force is applied...
  50. F

    What is the tension in the stretched rope?

    [b]1. A rope of negligible mass is stretched horizontally between two supports that are 3.44 meters apart. When an object of weight 3160 N is hung at the center of the rope, the is observed to sag by 35.0 cm. What is the tension in the rope? [b]2. Does this have anything to do with...
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