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.
Homework Statement
Problem is regarding approximating the value of a in y= a cosh(x/a) using Newton's method, and then use a to find the length of the rope.
That equation represents the curve formed by a rope hanging with it's ends attached to poles at a distance 2b.
(cosh() = hyperbolic...
The coefficient of statis friction between a rope and the table on which it rests is 0.3. Find the fraction of the rope that can hang over the edge of the table before it begins to slip.
This is an extra credit problem so we haven't learned this yet. I don't know where to start but I'm...
Homework Statement
A skier is pulled up by a towrope up a frictionless ski slope that makes an angle of 12 degrees with the horizontal. The rope moves parallel to the slope with a constant speed of 1.0 m/s. The force of the rope does 900 J of work on the skier as the skier moves a distance of...
Homework Statement
How much tension must a rope withstand if it is used to accelerate a 1050kg car horizontally at 1.20 m/s2? IGNORE FRICTION!
The Attempt at a Solution
What i did was
T-Fg=ma
T-mg=ma
T-1050(9.8)=1050(1.20)
T-10290=1260
T=1.15x10 to the power of 4
But that's not...
Homework Statement
The question says
"A person is dragging a box with the mass of 60kg by a rope. The person begins to drag the box at 4 m/s [F]. All of a sudden the person sees on coming traffic. The person calculates that they have 3 seconds to get out of the way. If at the end of the 3...
A uniform 3.60- kg rope 23.0 m long lies on the ground at the top of a vertical cliff. A mountain climber at the top let's down half of it to help his partner climb up the cliff.
What was the change in potential energy of the rope during this maneuver?
-This in a moment of inertia assignment...
Homework Statement
An object of 50kg mass is attached to a rope of 50m length with a hook. The rope is hooked at the other end to a fixed point on a helicopter.
The object is dropped from a height of 100m.
What will be the tension on rope?
No other parameters are available. What are the...
1. A 32 kg girl and an 8.4 kg sled are on the frictionless ice of a frozen lake, 16 m apart bu connected by a rope of negligible mass. The girl exerts a horozontal 5.0 force on the rope. How far from the girl's initial position do they meet?
2. Fnet=ma
3. The Attempt at a Solution ...
Homework Statement
I have a 1 kg ball hanging from rope A, and a 2 kg ball connected to the 1 kg ball by rope B. They are accelerating up at 4.0 m/s^2. I need to know the tension in rope A and rope B.
Homework Equations
Tension = Fg + ma ?
The Attempt at a Solution
Rope A: (1 kg...
A man drags a 25.0kg crate, by a rope, across the floor whose coefficient of kinetic friction is 0.250. The tension in the rope is 200.0 N at an angle of 30.0° to the vertical. What is the net work done on the box as it travels 10.0 m?
well I broke the tension force into the x and y...
Homework Statement
If the balloon in the diagram drawn below is accelerating upwards at 0.40 m/s2, calculate the tension in each piece of rope. Assume that the rope has no mass.
http://img261.imageshack.us/img261/964/capture2gm.png
http://img261.imageshack.us/img261/964/capture2gm.png...
Homework Statement
A 735N mountain climber is rappelling down the face of a vertical cliff as shown in the diagram. If the rope makes an angle of 12deg with the vertical face, what is the tension in the rope?
Homework Equations
Fnet=ma
trig functions
Ff=uFN
The Attempt at a...
Homework Statement
How much tension must a rope withstand if it is used to accelerate a 1000 kg car vertically upward at 0.80 m/s2? Ignore Friction.
Homework Equations
fay= ma ?
mg-fn=0
The Attempt at a Solution
F=MA
F=1000kg * .8
F= 800 WRONG!
Homework Statement
A 1.0 kg mass and a 4.0 kg mass are attached to a lightweight cord that passes over a frictionless pulley. The hanging masses are free to move. What is the acceleration of the larger mass? What is the tension on the cord?
Homework Equations
F(net...
If I have an extended (uncoiled) rope sitting on a table, and part of it is hanging off the edge of the table so that it starts to slide (there is friction), how would the normal force of the table acting on the rope change as it slides off? This has been bugging me for weeks, because people...
Homework Statement
A mass of 11 kg is hung on a rope of L = 2.7 meters. It is raised by 90 degrees (a quarter circle) held at rest, then released and it falls due to gravity alone. What is the tension in the rope at the bottom of its path in Newtons?
Homework Statement
A limp rope with a mass of 2.4 kg and a length of 2.1 m is hung, initially at rest, on a frictionless peg that has a negligible radius (see figure). The short end has length y1 = 0.84 m. What is the vertical velocity of the rope just as the end slides off the peg...
Picture has two objects, one on top of the other - the bottom object has a mass of 8 kg. The top object has a mass of 4 kg. The coefficient of friction between bottom object and floor is 0.3. The coefficient of friction between the two objects is 0.2. Acceleration is 4 m/s2. A rope is on a...
An energetic father stands at the summit of a conical hill as he spins his 24 kg child around on a 5.7 kg cart with a 2.0-m-long rope. The sides of the hill are inclined at 24 degrees . He keeps the rope parallel to the ground, and friction is negligible
What rope tension will allow the cart to...
[URGENT]Static Equilibrium problem
A 11kg ball is supported from the ceiling by rope A. Rope B pulls downward and to the side on the ball. If the angle of A to the vertical is 22 degree and if B makes an angle of degree to the vertical find the tension in rope A.
Homework Equations
sum...
A rope of length L sits at rest on a horizontal table with length L/3 hanging over the edge. The rope is mass M. What is the normal force acting on the rope? (I keep having people tell me that it is the product of the mass of only the rope that is on the table with the acceleration due to...
Homework Statement
mass 1=mass 2= 5
theta=30
Mass 1 and mass 2 are connected by a rope on a pulley. Mass 1 is on an incline of 30 degrees, and mass 2 is hanging vertically. Find the tension of
The Attempt at a Solution
mgsin(theta)= force of gravity of mass 1 down the incline...
Homework Statement
A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 586 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...
Hi,
I am pretty new to this so I hope that someone can help me. I am trying to power a 10' strand of rope lights (https://www.amazon.com/dp/B001G6MNF2/?tag=pfamazon01-20) for 3.5 to 4 hours. The lights are mounted on a box that is not near an electrical outlet. Is it possible to do without...
Homework Statement
A horizontal rope is tied to a 23 kg box on frictionless ice. What is the tension in the rope under each of the following conditions
a) the box is at rest.
b) the box moves at a steady 5 m/s
c) the box has Vx= 5 m/s and Ax = 5 m/s^2
Homework Equations
The...
Homework Statement
A flexible rope of length 1.0 m slides from a frictionless table top. The rope is initially released from rest with 30 cm hanging over the edge of the table. Find the time at which the end of the rope left on the table will reach the end of the table (basically when the...
How do you compute the area defined by a rope which spirals around a circle?
Here is a specific example of what I am asking:
A dog is tied to a fixed point on the outside of a circular silo with a radius of 20 feet. The rope is 50 feet long. How much total area does the dog have to roam...
Homework Statement
A horizontal rope pulls a 10kg wood sled across frictionless snow. A 5.0kg wood box rides on the sled. The coefficient of static friction for wood on wood is \mu_s=0.5.
What is the largest tension force for which the box doesn't slip?
Homework Equations
n=Fg=mg...
Homework Statement
An object of mass m = 3.5 kg hangs from the middle of a (massless) rope of length L =17 m, as the drawing illustrates. It is being pulled with tension T =55 N. Calculate the distance D by which the rope sags in the middle
Homework Equations
F_{net} = ma
D =...
Homework Statement
A 51.0kg person takes a nap in a backyard hammock. Both ropes supporting the hammock are at an angle of 19.0 above the horizontal. Find the tension in the ropes.
Homework Equations
ty=tsin/theta
wy=-mg
possibly?
The Attempt at a Solution...
Homework Statement
1) What is Y-component of the force due to rope 2
2) What is the magnitude of F2
3) What are the X components of the force due to rope 1 and rope 2
mass = 60kg
\theta = 20 degrees
Homework Equations
F = ma
ma = T-W
The Attempt at a Solution
1) mass *...
Homework Statement
1) What is the net force on the block? (Cartesian Coordinate system)
2) What is the X component of the tension force on the block
3) What is the x-component of the force exerted by the floor on the block (the friction force)?
4) What is the y-component of the force exerted...
Homework Statement
Two blocks are connected by a rope F (Vertical in the drawing, with force F pulling on a rope, block 1 attached to that rope, then there ia another rope off the bottom of block 1 that attaches to block 2). The block starts from a rest and moves upward a distance of 3.00m in...
I'm new here, so please bear with me.
Homework Statement
http://img15.imageshack.us/img15/9325/questionq.png [/URL]
Verbatim from my textbook:
As shown in Fig.7.40, the two sides of a step ladder BA and CA are 1.6 m long and
hinged at A. A rope DE, 0.5 m is tied half way up. A weight...
Homework Statement
A motor is used to rotate a ball attached to a rope in a vertical plane. The mass of the ball is 2kg and the length of the rope is 3m. Ignoroing air resistance and the mass of the rope, calculate:
a) The minimum motor speed in rpm that will maintain the ball in a...
The figure shows three ropes tied together in a knot. One of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force. These two ropes are being pulled 120 degrees apart.
How hard must you pull on the third rope to keep the knot from...
Homework Statement
Buckets and a Pulley Two buckets of sand hang from opposite ends of a rope that passes over an ideal pulley. One bucket is full and weighs 130 N; the other bucket is only partly filled and weighs 65 N.
a) Initially, you hold onto the lighter bucket to keep it from moving...
To keep Robin from being captured, Batman tosses him out of a third-story window, knowing that a 17.0m rope hangs slack between hooks of equal height on adjacent buildings 13.0m apart. Robin grabs the rope and hangs on at a point 5.0m from one end. Assuming that Robin's mass is 45.0kg and the...
I have a (hopefully) quick question.
If I have a set-up like the one below, with a cable attached to a rope, and a cable puller pulling the rope through a pulley thereby pulling the cable - and I have a measuring device on the pulley saying that 20KN is being exerted on the pulley - is the...
Homework Statement
A uniform rope of weight W hangs between two trees. The ends of the rope are the same height, and each make angle \theta with the trees (the angle is between the rope and the lower part of the tree). Find the tension at either end of the rope.
Homework Equations...
Homework Statement
Find the tension in a rope with a 60kg man hanging on one side and a 100 kg box on the other side. The box is sitting on the ground.
Homework Equations
Fnet= Tension- Force of Gravity
m1a=t-m1g
m2a=t-m2g
The Attempt at a Solution
I found acceleration which...
Homework Statement
With what tension must a rope with length 5m, and mass 0.120 kg, be stretched for transverse waves of frequency 50.0 Hz to have a wavelength of 0.750 m?
Homework Equations
K = ((2*Pi)/wavelength)
The Attempt at a Solution
K = (2*Pi)/.75
K = 8.38 1/m
I'm not...
I'm a bit confused here with determining the tension of a rope. A very simple example will do in this case. Let's consider a weight of G hanging from a weightless rope which is tied to a ring hanging from the ceiling. The weight pulls down on the rope with the force of G and the ring pulls up on...
Homework Statement
A Tugboat T, having a mass of 19 Mg is tied to a barge B having a mass of 75 Mg. If the rope is elastic such that it has a stiffness k=600kN/m, determine the maximum stretch oin the rope during the initial towing. Original both the tugboat v = 15 km/hr, and the barge v =...
Homework Statement
Two elephants are pulling on opposite ends of a rope each with 10N of force. What is the tension force experienced by the rope?
Homework Equations
Not sure if there are anyThe Attempt at a Solution
I originally thought to just add the the two together because they are...
http://www.buythecardiojump.com/Default.asp?tcode=pi8&tag=google&gclid=CI-o0orY5ZkCFQkzawodGFudQg&bhcp=1
:smile::smile::smile::smile::smile: I don't know what can be said. Maybe its a Zen thing.
Homework Statement
There is a balloon of mass Mb. A rope ladder of negligible mass is hung from it. A man of mass m stands on the rope ladder. A buoyant force F acts on the balloon, causing the man-balloon-ladder system to accelerate upwards. Now, the man climbs up the rope ladder towards...
Hi,
I want to use a variac that I've got (4A rating) to power one of these:
http://www.omega.co.uk/ppt/pptsc.asp?ref=FGS_FGH_FWH&Nav=heam02
but a 240V version. The problem is I can't figure out if the variac that I've got has sufficient grunt to do it (without frying me, the variac or...
I was wondering:
Suppose I have a rope on a table with one end fixed. I take the other end and give a quick and hard snap. It will produce a traveling wave. Is there a PDE that could describe this? Or is there one that I could come up with? The time evolving amplitude will probably depend on...
This is not really a homework problem but just a question.
How come while doing pump problems distance is part of the equation but rope problems distance is not...
For example your rope integral might look like integral from zero to fifty of (25-(.5)x) dx
Here all that 25-(.5)x is...