Homework Statement
A uniform rope of mass M and length L is hung off a small peg. The rope moves without friction. Obtain an equation for the length of the rope hanging to the right of the peg, which is denoted x(t).
Homework Equations
The Attempt at a Solution
I set up a net...
Homework Statement
A limp rope with a mass of 2.5 kg and a length of 1.2 m is hung, initially at rest, on a frictionless peg that has a negligible radius. The rope is hung such that 0.8m hangs off the longer end, and 0.4m off the lower end. What is the vertical velocity of the rope just as...
Homework Statement
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 2.25*10^4N, and our hero's mass is 86.9kg...
Homework Statement
A uniform rope of mass M and length L is pivoted at on point and whirls with uniform velocity ω
What is the tension at the rope at r from the pivot point? Neglect gravity.
Homework Equations
The Attempt at a Solution
Centripetal force at r is given by -mr...
Homework Statement
In a tug of war, five men on each team pull with an average force of 500 N each. What is teh tension in the center of the rope.
A. zero B. 100N C. 500N D. 2500N E.5000N
Homework Equations
The Attempt at a Solution
I know this isn't a very complicated...
Homework Statement
A massless rope is wrapped several times around a solid cylinder of radius 20cm and mass 20kg, which is at rest on a horizontal surface. Someone pulls 1m of the rope with a constant force of 100N, setting the cylinder in motion. Assuming the rope neither stretches nor slips...
Homework Statement
Homework Equations
F = ma
The Attempt at a Solution
say I project the weight onto T
then I get the right answer
if theta = pi / 4 then Wcostheta = W / sqrt2
but if I project the tension onto the weight, i don't get the right thing
i get the opposite, Tcostheta...
I am having trouble puzzling this one out. What I am trying to understand is why the tension of a rope is uniform throughout (even when there is mass). So I have knowledge that tension is in fact not a force (as it is a scalar quantity). You have two people pulling on a rope in opposite...
Homework Statement
An object with mass m is attached to a fixed structure with a rope with dimension R like in the figure. The object is dropped. Why is the tension in the lowest point of the movement 3mg?
Happy new year everyone, if I were to bungee jump off a building height H using a cord with an elasticity of 150 N/m 15 m long when it isn't stretched that is tied to a rope of length L (does not stretch), and I have a mass of M and the cord stretches X meters. Gravity is pulling at 10 m/s^2. I...
Homework Statement
A bucket is lifted up by a rope, slowing down at a constant rate of 0.640 m/s^2. Find the tension in the rope if the bucket weighs 22.0 N.
Homework Equations
F=MA
Fg(gravity)=M*G(gravitational force)
The Attempt at a Solution
9.8 m/s^2 + 0.640 m/s^2 = 10.44 m/s^2...
Homework Statement
A 55 lb force is required to lift a 25 lb tire off the ground with a rope wrapped half way around a tree branch. How much force is required to keep a 55 lb girl lifted with the rope wrapped 1.5 wraps around the tree branch?
Homework Equations
T2 = T1eμβ
The Attempt at a...
Homework Statement
A 12 m long line, that streaches 5% of its length is streched in 0.5 m hight over water.
The force that is used to keep the line streced is 5kN (kilo Newtons).
if an 90 kg man walks out the line and jumps up one meter and lands back on the line,
How heavy does the load...
Homework Statement
A uniform rope of mass m and length L hangs from a ceiling. The mass of the rope below a point P is M.
(a) Write down Newtons second law for the segment of the rope of mass M and find the tension ata distance y above the lower end of the rope. Show that the speed of a...
I am building a homemade ropetow in my backyard. I have done a lot of research and unfortunately I have been away from physics for about 15 years, so I am having trouble calculating my motor size and transmission options. I will lie out what I am trying to accomplish below.
Here are the...
Need help with motor sizing/torque calculation - Building a Ski Rope Tow.
I am building a homemade ropetow in my backyard. I have done a lot of research and unfortunately I have been away from physics for about 15 years, so I am having trouble calculating my motor size and transmission...
Calculus Work Rope problem helpp pleasezz!?
1.) A mountain climber is about to haul up a 50M length of hanging rope. How much work will it take if the rope weighs .624 N/m?
The Work on the rope is W= integral of 0.624xdx from 0 to 50.
2) A 5 lb bucket is lifted from the ground into the...
Homework Statement
Given a rope with a constant length L, and a mass M.
The rope is connected in one side, and moving with angular velocity on a frictionless surface.
What is the tension along the rope?
Hint:
Look at a small mass element of the rope and consider the forces acting on...
Hello,
If a climber attached by rope happened to fall what would be the maximum elastic energy stored in the rope?
I believe all the potential energy due to altitude would be converted into elastic in the rope (once the elastic energy is maximum and the kinetic energy equals zero), would it...
Homework Statement
http://s12.postimage.org/q2c8bqw97/image.png
http://i.imgur.com/6STfr.png
The part a is easy and i get the ans, the required speed should be v/cos30
but i really have no clue about how to do the part b
i know that the knot will move down and left but i just can't list any...
Hey guys I"m new to the forum so I just wanted to say what's up? You'll be seeing me a lot more often btw. :]
Homework Statement
Rachel is pulling 2 blocks across a horizontal friction less surface with an acceleration of 1.5m/s/s. The mass of Block 1 is 4kg and Block 2 is 2kg.
1) What is...
Homework Statement
A 115kg mail bag hangs by a vertical rope 3.3m long. A postal worker then displaces the bag to a position 2.2m sideways from its original position, always keeping the rope taut.
As the bag is moved to this position, how much work is done by the rope?
Homework Equations...
Homework Statement
A mass of m is placed on the end of a rope of length l and swung in a vertical plane. The rope can withstand a maximum tension of P N(Newtons), after which it breaks. What is the maximum uniform speed that the object can be swung at, before the rope breaks?
Homework...
Two ropes are connected to a steel cable that supports a hanging weight as shown in the figure: http://tinyurl.com/93c6tn3
There are 4 forces
T1: Tension force of the left rope
T2: Tension force of the right rope
T3: Tension force of the steel cable
And an unlabelled vector
Draw a...
It's the same diag. but the blocks are A and B and the angle is 30°
Theta=30°
Block A=15kg
Block B=12kg
assume the rope is massless
us=.25=coefficient of static friction
What is T?
My Attempt at a solution
I made FBD for both block A and B
For A sum the forces...
Hello,
I hope this is a suitable forum, it's a million miles from homework but it may be on the same sort of level.
A picture is worth a thousand words so please have a look at the attached picture. When the rope is pulled there isn't just the issue of gravity, but also of the friction of...
Hey Guys,
I'm stuck with two particular problems that relates to two masses attached by a rope on a slope with unequal angles and I'm unsure how to go about the problem, I have never accounted a problem such as these before and I'm stuck with how to go about it. I have taken two photos of the...
Homework Statement
A block with mass m1 = 9.4 kg is on an incline with an angle θ = 31.0° with respect to the horizontal.
Now a new block is attached to the first block. The new block is made of a different material and has a coefficient of static friction μ = 0.9. What minimum mass is...
Homework Statement
A block with mass m1 = 9.4 kg is on an incline with an angle θ = 31.0° with respect to the horizontal. There is also a massless rope that pulls horizontally to prevent the block from moving. What is the tension in the rope?
Homework Equations
Fg = m*g
Fg,x = m*g*sin...
1. Nellie Newton hangs at rest from the ends of the rope as shown. How does the reading on the scale compare with her weight?
2. ANSWER FROM BOOK.
The scale will read half her weight. In this way, the net force (upward pull of left rope + upward pull of right rope rope weight = 0
3. Can...
So perhaps you know this classical problem: A rope is suspended between two endpoints x=±a. Find what function describing the shape of the rope that will minimize its potential energy.
The example is worked through in my book but I have some questions:
The solution assumes uniform linear...
I knew the one inch wire rope was under severe strain, that's why I was watching it when it parted (broke). First, a few of the individual steel wires broke with some small time interval between each break. Then more wires broke at a faster rate until the remainder broke all at once. It was...
Homework Statement
From http://library.thinkquest.org/10796/index.html (#6b, 6c)
The site accepts the answer 49N for #6c, but I'm not sure why.
Homework Equations
F_g=mg
F=\sqrt{F_x^2+F_y^2}
F_x=F\times \cos \theta
The Attempt at a Solution
The answer for #6c appears to be equal to...
Say two girls spin a jump rope, of length ∏ meters, so that the only nodes are where the girls hold the rope, ψ= sin(x)exp(iω_1t) (actually there are no nodes at the girls hands as where they hold the rope goes in a smallish circle). Now instruct the girls how to shake the rope so as to most...
I was a reading a little section in my physics textbook regarding tension in a flexible cord. There is a part in the paragraph that I am not sure why is true. It goes as follows: "When a flexible cord pulls on an object, the cord is said to be under tension, and the force it exerts on an...
hello friends, i am currently working on a project in which a steel rope is used to carry an object in a loop just like a chair lift. what i want to ask is what method can i adopt to make a joint of the rope that can pass through or over the pulleys and not de-track too.
The rope diameter is 8...
Hey guys I have a freaking project that requires me to build a rope climbing robot that cannot be powered by chemical based. Basically no batteries as such are required.
Dear Friend,
I am working as Graduate Engineer in transmission line. We assemble and erect transmission tower. I am stuck in one calculation. I got two section of 4 tonne and 7 mt in height.To put this two section together . First section is lifted by crane and a 20 mm rope is attach to the...
So I understand that if one could hold a rope above a black hole and suddenly let it go the bottom would stay suspended until the removal of the force holding it propagates from the top to the bottom. Is this video a good analogy...
Actually i am using lead screw drive by motor along with rope drive. If you will see the attachment, yuo can clearly understand the working principle.
In this working priniciple, when we used to start the motor, carriage power use to go up through lead screw drive.Rope is connected to this...
Hi,
I need to figure out how to design a device that should climb on a rope without any
electrical or chemical plant (see the attached file for drawing).
I need a good idea how to generate sufficient lifting force in order to compensate weight
and friction?
Homework Statement
Two positive charged spheres, with masses m = 2.0 g and with the same charge 2 µC are connected by a rope that is a distance of 5 cm. The charged spheres are at rest and the system is in static equilibrium.
Homework Equations
N/A.
The Attempt at a Solution
The...
Hi,
I'm having some trouble with an equation: v=sqrt(F/μ). If I understand correctly, F corresponds to the tension in both ends of the rope. I'm calculating the wave speed for a vertical rope with mass as well as a weight tied to the bottom. It's also tied to the ceiling. This makes the...
Homework Statement
a large stone obelisk that is 8meters tall is laid down flat in the center of a Roman piazza and is going to be tilted into place by a rope and pulley system tied to a team of donkeys. If the team of donkeys always pulls with a constant force of 4500N, what is the torque if...
Homework Statement
A person of mass M stands in the middle of a tightrope which is fixed at the ends of two buildings separated by a horizontal distance L. The rope sags in the middle, stretching and lengthening the rope slightly.
a)If the tightrope walker wants the rope to sag vertically...
If there is a problem like in the image provided, and the rope has a mass but the pulley is not being considered in the problem, what forces would the rope affect the man with?
Since the rope touches the ground will the rope send a normal force up which pushes the man up? I am assuming that...
Homework Statement
The ends of a massless rope are tied to a ceiling. Two identical 4.21 kg masses are now hung along the length of the rope, dividing the rope into three segments of equal length. Segment 2 (the central segment) is horizontal (parallel to the ceiling). The ends of segments 1...
Hey everyone
Homework Statement
Im trying to calculate the force encountered by an object falling due to gravity that is caught by a rope.
Obviously F=ma and since mass is constant I need to find the rate of deceleration. I've tried to using the equation v^2 = u^2 +2ax as v = 0 and u...