Rope Definition and 824 Threads

Homework Statement I'm having trouble understanding an example given in K&K's Intro to Mechanics textbook. 'A string with tension ##T## is deflected through an angle ##\theta_0## by a smooth fixed pulley. What is the force on the pulley'. I don't understand how (in the first picture) they...

Homework Statement Homework Equations SUM OF FORCES / BALANCING The Attempt at a Solution Hey all, the question and my illustration are posted above. My main question is which blocks do the three Tension values I circled go? Are they all tied into the diagonal where the rope meets or do they...

Homework Statement So, these 2 blocks are connected by a rope. Aluminuim block is 2kg and copper is 6kg. They are kept in motionless state via some kind of mechanism on steel surface. θ is 30 degrees. I was given dynamic and static friction coefficient (Aluminium μs=0,61 i μd=0,47, Copper...

1. Homework Statement a circular homogenic pulley (disk) with radius R and mass of M hanging on a axis that passes through his center, the pulley rotating without friction. we wrap the pulley with a rope with a total mass of mr and length of L and in the other side of the rope we ataching...

Homework Statement A rope of length L is falling off an incline. Part of the rope is still on top of the horizontal surface. There is no friction between the incline and the rope. The incline is at an angle theta above the horizontal. a) What is the magnitude of the acceleration of the rope...

When a perosn is climbing up a rope with mass a ( attached to ceiling) with acceleration a how does the physics work and what forces will be applied on ceiling? I know when the rope is massless all the force gets transferred ,but now hwat will happen

I know that when we strech the rope...all the points on that rope are under tension. But I do not understand how Newtons 3rd law of motion is applied when we work with tension.Any hep would be apreciated

A prisoner in jail decides to escape by sliding to freedom down a rope provided by an accomplice. He attaches the top end of the rope to a hook outside his window; the bottom end of the rope hangs clear of the ground. The rope has a mass of 10 kg, and the prisoner has a mass of 70 kg. The...

Homework Statement The boom in the figure below (Figure 1) weighs 2450 N and is attached to a frictionless pivot at its lower end. It is not uniform; the distance of its center of gravity from the pivot is 35.5 % of its length. Find the tension of the guy wire. Homework Equations Στ=0 ∑F=0...

Homework Statement So it's given the pipe has a inside diameter of 60cm and outside diameter of 70cm. the two ropes AC and AB are separated by a spreader bar. Wants us to find tension in the ropes. Also give is the density of concrete which is 2320kg. Homework Equations pi(r)^2*L=Area The...

... and then someone cuts it, at which point will I become unbalanced i.e. start to fall? is there a delay from when the rope is cut to when I start to fall?

Homework Statement a= 0.3 m / s2 k = 10 000 N / m m = 1800 kg ( of the car that is being pulled) Ignore friction. A car is being pulled by another car by a rope ( stiffness = 10 000 N/m) with acceleration of 0.3 m/s2.. Find the change in length of the rope. Homework Equations F = ma F = kx (x...

If a brick is pulled across the floor by a rope thruogh a pulley, 1 meter above the ground - and work = W, where W = 10N , (in Newton).Show that the horizontal component of W, which is pulling the brick has the size \frac{10x}{\sqrt{1+x^2}} (*) Use this to calculate the amount of work needed...

Homework Statement 2 & 3. The Attempt at a Solution I've worked out: The total force on the gate. I have worked out the centre of pressure which I got a value of 10/3m (from the hinge). For the moment about the hinge I got a value of 981,000Nm using the equation M=FN*X where X is the centre...

Homework Statement Water skiers often ride to one side of the center line of a boat, as shown in the figure (Figure 1) . In this case, the ski boat is traveling at 15 m/s and the tension in the rope is 90 N.If the boat does 3700 N of work on the skier in 54.8 m, what is the angle θ between the...

Homework Statement A tugboat pulls two barges down the river. The barge connected to the tugboat, carrying coal, has an inertia of 2.0 × 105 kg, and the other barge, carrying pig iron, has an inertia of 3.1 × 105 kg.The resistive force between the coal barge and the water is 8.0 × 103 N, and...

Homework Statement A straight rope is dropped at a height where is it not touching the ground. The rope has 10 beads spaced out on it and tied so they do not move. From the bottom to the top, the space between the beads increase, where the distance is the smallest at the bottom and largest at...

Homework Statement A rope of mass M and length ##l## lies on a frictionless table, with a short portion ##l_0##, hanging through a hole. Initially the rope is at rest. Find the length of the rope through the hole as a function of time. Homework EquationsThe Attempt at a Solution So I know...

Homework Statement Two masses are connected by a heavy uniform rope (mass = 4 kg) and a upward force of 200N (Fa) is applied to the block on top; essentially the two masses and the rope are pulled up vertically. The mass on top (m1) weighs 6 kg, the mass on the bottom (m2) weighs 5 kg. 200...

Homework Statement A muscle exerciser consists of two steel ropes attached to the end of a strong spring contained in a telescopic tube. When the ropes are pulled sideways in opposite directions, the spring is compressed. The spring has an uncompressed length of 0.80 m. The force F (in N)...

Homework Statement A uniform rope of mass ##M## and length ##L## is pivoted at one end and whirls with uniform angular velocity ##\omega##. What is the tension in the rope at distance ##r## from the pivot? Neglect gravity. Homework Equations $$\vec{F}=m\vec{a}$$ The Attempt at a Solution...

Hello! I was hoping someone here could help me solve a real world problem. So my university pool has something called a bulkhead, which is basically a bridge that floats above the water so that people can walk across the shorter dimension of the rectangular pool (50 meters long, 25 yards wide)...

Say there is a man swinging in space on a rope attached to a pivot. The man is rotating at some constant angular speed w. Now he climbs up the rope at some constant speed v. Apparently the angular momentum is conserved. As a result his speed increases. However, how does his speed increase if...

Homework Statement A rope has an end fixed and the other is passing through a pulley and has a body attached to it. The fondamental frequency of the rope is initially ##f_1=400 Hz##. If the body is then put in water the fondamental frequency of the rope becomes ##f_2=345 Hz##. If the linear...

Hello everybody, I am trying to analyse the lifelines we use at work, though the results I obtain are causing me headaches. The problem is, our workers often install and use what I would call homemade lifelines. My boss asked me to check whether what they do is reliable. According to what I...

Homework Statement A sinusoidal wave on a rope with linear density ##\mu=0.012 kg/m## is described in SI units by $$\xi(x,t)=A sin (kx-\omega t)= 0.15sin(0.8x-50t)$$ a) find the maximum acceleration of a rope element b) find the maximum transverse force on a piece of rope ##1 cm## long c) Show...

This seems like a naive question, yet I keep pondering it while looking at the safety lines on my boat. They're braided cable with thimbles: The length is not adjustable, so I need to finish them with strong line (one zillion pounds breaking force) that can be adjusted to make the safety line...

Homework Statement [/B] Consider an ideal rope where there is a wave moving at velocity ##v=20 m/s##. The displacement of one end of the rope is given by $$s(t)=0.1 \mathrm{sin}(6 t)$$ a) Find the wavefunction ##\xi(x,t)##, knowing that it is progressive b) Find the distance ##\delta## (in...

Homework Statement I'm sorry, I'm not the best in English, but I'll try to translate it. A homogenous rod with length 5.0 m and mass 40 kg, is connected to a pole at 70* at point A. The rod is held in place with a rope that makes 50* with the pole, and is connected to the rod 1.0 m from the...

Homework Statement Homework EquationsThe Attempt at a Solution Here is what i have done so far: Fx = cos 45 T - Ff =ma Fy=sin 45 T -mg+ Fn =ma I found ff= uk * Fn = 0.5 *sin 45 +mg fn = sin 45 +mg Isolated for T in the x and y: Tx = ma + Ff / cos 45 = 13.404 Ty = ma +mg - Fn / sin 45 =...

Homework Statement In order to raise a mass 'm' a man ties it to a rope and passes the rope over a friction less pulley. He climbs the rope with an acceleration 3g/2 relative to the rope. If the mass of the man is m/2 and the mass of the rope is negligible, the tension in the rope is a) 3mg/2...

I'm confused about energy driven by a wave. Consider a sinousoidal wave moving in a rope. Each element ##dm## of the rope follows a simple harmonic motion in time. That means that the mechanical energy ##dE=dK+dU## of the element ##dm## is constant. Nevertheless on Halliday-Resnik-Krane I...

Homework Statement (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 following characteristics: A = 5.00 cm, λ =85.0 cm, f = 5.00 Hz, and y(0, t) = 0 at t = 0. (Use the following as necessary: x...

Q: In a tug of war between 2 athletes, each pulls on the rope with a force of 200N. a) What is the tension in the rope? b) If the rope does not move, what force is each athlete exerting on the ground? I wrote for both a) and b) 200N, and I am unable to confirm this because my textbook has no...

Homework Statement M is attached to a rope L and starts from horizontal. the rope hits a nail at distance D. What is m's velocity when it reaches the lowest point. At what minimal distance D should the nail be places so that m will complete a circle round the nail. Homework Equations Kinetic...

I was thinking about a gendanken experiment that I don't know how to solve: Imagine we tie one extrem of a rope in the Earth and the other one in the Sun, with some tension, and connected to a dynamometer (obviously in ideal conditions: no heat, no rotation etc.). My question is: when will the...

hi, i am an aeronautical engineer student in need of some ideas for my groups mechanical design project. our project is to design a helicopter winch/hoist that meets the following requirements: 1. is atleast 150ft long 2. max 350kg load at a rate of 3ft/sec 3. (deeper into design) has a safety...

Homework Statement A rope with uniform density ##\lambda=\frac{m}{L}## is placed on a frictionless table with an initial length ##y_0## hanging through the hole. Derive a differential equation for the position of the bottom of the rope and then using this solve for the time required for the...

Homework Statement A 14.0 kg sign hangs from 2 lengths of rope, each of which is 70.0 cm and at a 20.0 degree angle from the ceiling. 1) What is the tension of the rope? 2) How could you reduce the tension on the ropes for the same sign without adding another rope? Homework EquationsThe...

Homework Statement A uniform rope with length L and mass m is held at one end and whirled in a horizontal circle with angular velocity You can ignore the force of gravity on the rope. (a) At a point on the rope a distance r from the end that is held, what is the tension F? Homework Equations...

Homework Statement The ramp in figure is frictionless. If the blocks are released from rest, which way does the 10 kg block side and what is the magnitude of its acceleration? θ=40°...

Homework Statement System is in equilibrium. 1 mass known: 79.4 kg (or 778.6 N) and 2 other unknown. Other masses unaccounted for. Everything friction-less. The Tensions are unknown also. Homework Equations ∑F = 0 ∑Fx = -T1*cos135 + -T3*cos37 = 0 ∑Fy = (-T1*sin135 - m1g) + (-T3*sin37 -...

I'm stuck on a homework question. It states, "Bob traverses a chasm by stringing a rope between a tree on one side of the chasm and a tree on the opposite side, 25 m away. Assume the rope can provide a tension force of up to 29 kN before breaking, and use a "safety factor" of 10 (that is, the...

While I was thinking about how tidal forces can make objects float at the surface of a planet orbiting a massive object like a black hole, the fact that any material on the Earth isn't held together by gravity only, but also by chemical bonds which give it its tensile strength came into my mind...

Hi, I have a revision book that has an example in it for the tension on a rope if a 20 Newton force is hanging on the centre of a rope suspended between two points. The rope dips 25 Degrees either side. So effectively an upside down pair of right angled triangles is formed. The Hypoteneuse...

1. The problem statement, all variables and given data A mass hangs in balance on a elastic rope (k= 800 N/m). The length of the rope in balance is 1m. They pull the mass 25 cm out of balance. The mass colides with the ceiling (restitution coefficient = 0,8). How far extend the rope after the...

I have attached a picture so that it is easier to visualize this problem. The information is all in it. The number scribbles are just my attempts to solve it: http://i65.tinypic.com/2qlbn9h.jpg The current topic we are on in class is Newton's Laws and we have covered moments and equilibrium...

Homework Statement A limp rope with a mass of 2.4 kg and a length of 1.3 m is hung, initially at rest, on a frictionless peg that has a negligible radius, as shown in the Figure. y1 is equal to 0.44 m. What is the vertical velocity of the rope just as the end slides off the peg? Homework...

Homework Statement A tugboat pulls two barges down the river. The barge connected to the tugboat, carrying coal, has an inertia of 2.2 × 105 kg, and the other barge, carrying pig iron, has an inertia of 3.5 × 105 kg.The resistive force between the coal barge and the water is 8.0 × 103 N, and...

Homework Statement the cord shown have supports a force of 500N and warps over the frictionless pulley , determine the tension in the cord at A and the horizontal and vertical component of reactions at A . Homework EquationsThe Attempt at a Solution for the moment about A , the author gave...