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. S

    Solving a Rope Tension Mystery

    Homework Statement Homework Equations My assumption:- if one of the ropes have been cut, it mean the object just hang VERTICALLY with one rope with 5N load on it.Is it my assumption is correct? The Attempt at a Solution Tension of the other rope = 5N (is it correct)?? base on my assumption...
  2. C

    Descending mass on rope attached to wheel

    Homework Statement A physics student of mass 57.0 kg is standing at the edge of the flat roof of a building, 12.0 m above the sidewalk. An unfriendly dog is running across the roof toward her. Next to her is a large wheel mounted on a horizontal axle at its center. The wheel, used to lift...
  3. R

    Calculating mass given maximum tension of a rope

    If a string can handle a max tension of 85 N what is the largest mass that could be lifted with this string if it is lifted with an acceleration of 2.0 m/s^2 up on the moon? Let up be positive in value. Ft = - 85 N, a = 2.0 m/s^2, Fg = -1.6 m/s^2 Homework Equations F = ma -> Fg = mg -> Ft =...
  4. K

    Determining velocity for a pulley/rope system

    The Question: Using a simply pulley/rope system, a crewman on an Arctic expedition is trying to lower a 5.65-kg crate to the bottom of a steep ravine of height 23.9 meters. The 60.9-kg crewman is walking along holding the rope, being careful to lower the crate at a constant speed of 1.50 m/s...
  5. L

    Space Elevator Rope: Homework Solution & Equations

    Homework Statement Consider a long rope with uniform mass density extending radially from just above the surface of the Earth to a radius of n'R. Show that if the rope is to remain above the same point on the equator at all times, then n' must be given by n'2+n' = (8 pi G p)/(3 w^2) G is...
  6. 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...
  7. Kingyou123

    Lowering an object without breaking the the rope

    Homework Statement How could a 1000 N object be lowered from a roof using a cord whose breaking strength is only 800 N? Homework Equations ∑F=ma The Attempt at a Solution By slowing down the acceleration to a point where the force down would be less than 800. weight=m(g) 1000N=m(9.8)...
  8. 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...
  9. 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...
  10. K

    Wheel attached to a rope falls

    Homework Statement A wheel is made of two hoops, one of radius R and mass ##\frac{2M}{3}## and the inner is of radius R/2 and mass M/3. 1. the wheel rotates around it's axis with angular velocity ω but remains in place. what is it's kinetic energy 2. the wheel rotates without friction at...
  11. F

    Standing Wave on a Thin Rope: Analyzing Harmonics

    Homework Statement A fellow student of mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x,t)=2.30mmcos[(6.98rad/m)x+(742rad/s)t]. Being more practical-minded, you measure the rope to have a length of 1.35 m and a mass of 3.38 grams. Assume that the...
  12. 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...
  13. B

    Rope hanging from a table, find time taken to fall off table

    Homework Statement A rope of uniform mass per unit length ##\lambda## and length ##L## lies curled on a table, with a short length ##\delta l## of it hanging through a hole in the table. At time zero, the rope begins to slide through the hole. At what time ##t_c## (in seconds) does the end of...
  14. 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.
  15. 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=...
  16. K

    Cylinder pulled by rope on a rough surface

    Homework Statement A rope is pulled off with a force F from a combined cylinder. the smaller cylinder's radius is r and the big one's is R. the cylinder rotates on a rough surface without sliding. the force makes an angle θ with the horizon. What's the acceleration's "a" magnitude and...
  17. J

    Analyzing Forces on a Car Attached to a Wall with a Rope

    Homework Statement A rope is attached to a wall on one end and to a car on the other end. Someone pushes up on the rope and the car starts to move when the rope makes an angle of 5o with the floor. Mcar=2500kg Homework Equations ΣFx=ma ΣFy=maThe Attempt at a Solution Look at the car and the...
  18. 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...
  19. 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??
  20. toforfiltum

    Proving tension in rope of equilibrium system

    Homework Statement Homework Equations principle of moments The Attempt at a Solution Okay so when resolving the forces horizontally and vertically, I get RA= T cosθ for horizontal component and RB= W + T sinθ for vertical component. To get my T, I chose to take moments about B, though I'm...
  21. J-dizzal

    Statics, friction of a rope around a post

    Homework Statement A dockworker adjusts a spring line (rope) which keeps a ship from drifting alongside a wharf. If he exerts a pull of 190 N on the rope, which has 1.25 turns around the mooring bit, what force T can he support? The coefficient of friction between the rope and the cast-steel...
  22. Drakkith

    What Calculations Determine the Length of the Rope and Mass of the Pendulum?

    Homework Statement A mass hangs on the end of a massless rope. The pendulum is held horizontal and released from rest. When the mass reaches the bottom of its path it is moving at a speed v = 2.7 m/s and the tension in the rope is T = 19.8 N. 1. How long is the rope? 2. What is the mass of the...
  23. Fluxxx

    Does the tension in the rope change as the transverse wave travels upward?

    Homework Statement A rope of mass m is hanging down from the ceiling. Nothing is attached to the loose end of the rope. As a transverse wave travels upward on the rope, does the speed of the wave increase, decrease, or remain the same? Homework Equations $$v=\sqrt{\frac{F}{m/L}}$$ $$F=-ma$$...
  24. A

    Wave function for transverse waves on a rope

    Homework Statement Serway's Physics for Sciencetists and Engineers with Modern Physics, 9th Edition (current), Chapter 16, problem 19:[/B] (a) Write the expression for y as a function of x and t in SI units for a sinusoidal wave traveling along a rope in the negative x direction with the...
  25. L

    Lifting an elephant with a pulley & rope

    Homework Statement Ringling Brothers Bamum and Bailey Circus is using a pulley to lift an Elephant on to a ship. If the Elephant is 2200kg and you have to raise her 15m with a pulley that has an efficiency of 60%, then how much rope do the handlers, who can pull with a combined force of 115 N...
  26. R

    Tension on a Rope Deflected by a Pulley: Differentials

    Hi all, first post here. I'm a junior Physics/Math double major at UMass Amherst, playing with some problems over the summer. I'll get right into it. A rope with constant tension T is deflected through the angle 2\theta_{0} by a smooth, fixed pulley. What is the force on the pulley? It is...
  27. T

    Why massless rope is required for making these two forces eq

    I am pulling a rope and that rope is pulling another body which is attached to rope. The force applied by me on the rope will be equal to the force applied by rope on that body if 1. The rope can't increase in length due to force, or 2. if the rope is massless. I understand the reason behind...
  28. C

    Why is tension present in the rope?

    These is my problem Assuming the surface on which A rests is frictionless and there is no drag on either of the bodies as they move at common acceleration. Correct me if I’m wrong, I think the bodies should have a common acceleration since they’re connected Why does F? exist??, I know that...
  29. isaac206

    Tension on Rope, greater then, less than, or equal to

    https://auddoq.dm2302.livefilestore.com/y2mGb2n5mfKxwU4nZlLmOvyElgDcG0-5GG9dGoP4AbrV1taK31XrOoPmeyf9x9RQZ8kXLi0WG2Etd0-I8bVWqOgVufahONs02hTGFS-SUwBVRyd-ajz5Eza-nrk9yWa7kF6kPFtMdPD6MGIpfwQMhywCLfOOuIO4-3tLe1_KjSf9V0/20150505_234057356_iOS.jpg?psid=1 if the image does not show here's the link...
  30. B

    Calculate force required to tip beam on a rope w/ friction

    Homework Statement The uniform I-beam has a mass of 74 kg per meter of length and is supported by the rope over the fixed 300-mm drum. If the coefficient of friction between the rope and drum is 0.50, calculate the least value of the force P which will cause the beam to tip from its horizontal...
  31. SpacemanRich

    Newton's second with Pullys, Ropes, and Boxes (Frictionless)

    Homework Statement [/B]In the drawing, the rope and the pulleys are massless, and there is no friction. Find (a) the tension in the rope and (b) the acceleration of the 10.0-kg block. (Hint: The larger mass moves twice as far as the smaller mass.) 2. Formula's Used. F = ma, W = Mg. The...
  32. B

    What are the equations for tension in a massive rope under acceleration?

    Homework Statement Here is my problem: Homework Equations Here is my work thus far and all the equations I've included. The Attempt at a Solution I'm not completely sure if my work is correct. I keep writing and erasing the tension equations because I can't decide which are right. Can...
  33. D

    Tension Rope and Blocks Problem

    Homework Statement Two blocks, each with weight w, are held in place on a frictionless incline as shown in Figure. In terms of w and the angle a of the incline, calculate the tension in the rope connecting the blocks Homework Equations T = mg The Attempt at a Solution I cannot for figure out...
  34. personage

    What is the direction of tension force in a rope?

    Hi everyone, What I understand is that tension only exists if there are two forces pulling on a rope in opposite directions. What I have also read is that due to Newton's third law, the rope actually pulls back with a force equal but opposite to the two applied forces, so the forces look a bit...
  35. S

    What is the mass of this vertical rope? (Mechanical Waves)

    Homework Statement A geologist is at the bottom of a mine shaft next to a box suspended by a vertical rope. The geologist sends a signal to his colleague at the top by initiating a wave pulse at the bottom of the rope that travels to the top of the rope. The mass of the box is 20.0 kg and the...
  36. P

    Rope Slipping in Pulley System: Does ##\ddot{l} = 0##?

    In this derivation (see attached image), does the author assume that the rope doesn't slip? Because if it does, then there is no guarantee that ##\ddot{l} = 0##, right? Also, does this equation apply to all pulley systems where one pulley is fixed and the other is allowed to move? For example...
  37. C

    MHB Find Tension in Horizontal Rope DE | Cylinder Mass & Angle θ

    Hi there, I have a question I'm unable to get properly started on: A cylinder of radius R and mass m is lodged between cross pieces that make an angle θ with each other, as shown in the diagram below. The cross pieces of negligible mass are connected in point C, with lengths AC = BC = 2R and...
  38. T

    Linear mass density and dangling rope.

    A rope of mass M and length of L is dangling from a branch. The only force acting on it is gravity. The question is how do you find the tension of the rope at any position on the rope. My proposed equation is this: F(r) = (Mg/L)(r) where r is any position on the rope. Is this equation correct...
  39. Suraj M

    What is the tension in the rope DE?

    Homework Statement AB = AC =1.6m, hinged at A. a rope DE of length 0.5m is tied half way up. A weight of 40Kg is suspemded from F 1.2m from A. Assuming frictionless floor and negligible mass of the ladder Find the tension in the rope DE. Homework Equations torque[/B] = Force × perpendicular...
  40. Pull and Twist

    MHB Solve for the length of a rope when you know the work required to reel it in.

    Hey guys, I'm currently working a take home problem that's a little different then what I have been practicing in my Calc. book. I thought I set it up correctly, but yet I am not getting the correct answer. Can someone show me where I am going wrong? This is what I have so far.
  41. A

    Find the acceleration of the system and the maximum force

    Homework Statement There are 3 masses ma= 50 kg, mb= 60kg, mc= 80kg. These masses are connected with a rope that affords a tension of 1000 N. On the mass 3 is applied a force F. Knowing that the tension between A and B TAB= 200 N. a)Find the acceleration b) find the maximal value of the force F...
  42. C

    Two ropes hold a 200N weight. Find the tension in each rope.

    Homework Statement The question is; Two ropes hold a 200N weight as shown here; http://i.imgur.com/BgeoIVq.png Find the tension in each rope using a vector diagram. The forces are in equilibrium in the diagram btw. Homework Equations Well they gave us 200N so no need for F = MA Rx = R *...
  43. Wayland Bugg

    Rope tangent angle over pully given position of offset load

    I am trying to symbolically resolve the angle of rope that suspends a load (rectangle) between two pulleys given the length of rope that is let out over the pulleys. See attached image. the load is not intended to move horizontally, only vertically. so you can imagine each pulley must have an...
  44. Poetria

    Acceleration of a Falling Bowling Ball: Effects of Rope Cutting

    Homework Statement You suspend a bowling ball of mass m using a spring and a rope. The spring is horizontal and has spring constant k; the rope makes an angle θ with the vertical. Answer all parts in terms of m, g, k, and θ. a) What is the tension T in the rope? b) Your arch nemesis cuts...
  45. E

    Searching for any lead on realistic cord mechanics

    Hi all, I'm a physicist, and I'm now trying to understand and model a problem with a multishafted cord, being pulled from one side in order to transfer force. The cord has its own elastic properties (elongation, bending etc.), it goes through several pulleys with friction, and most likely its...
  46. Z

    Force of tension of spring and rope

    why is the tension force of spring conservative and tension force of rope not conservative ??
  47. G

    How Does a Rope Fall Through a Hole in Physics?

    Homework Statement A rope of mass M and length l lies on a friction less table, with a short portion, ##l_0## hanging through a hole. Initially the rope is at rest. a. Find a general solution for x(t), the length of rope through the hole. (Ans: ##x=Ae^{\gamma t}+Be^{-\gamma t}##, where...
  48. Z

    Difference between the tension force of the rope and that of spring

    what is the difference between the tension force of the rope and that of spring ??
  49. V

    Tension in a rope placed on a cone

    Homework Statement A rope of mass m forming a circle is placed over a smooth round cone with half angle θ. Find the tension in the rope . Homework EquationsThe Attempt at a Solution Since the half angle is θ , the normal force N acts at an angle θ with the horizontal . The weight acts...
  50. G

    What is the average force required to pull the rope?

    Homework Statement Problem 3.12 from Kleppner & Kolenkow A ski tow consists of a long belt of rope around two pulleys, one at the bottom of a slope and the other at the top. The pulleys are driven by a husky electric motor so that the rope moves at a steady speed of 1.5 m/s. The pulleys are...
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