Rope Definition and 842 Threads

Homework Statement Two pendulums of same mass and length that oscillate in same horizontal plane are connected with maseless horizontal rope. What is dependence of amplitude of pendulums as a function of time? Homework Equations For harmonic oscilation x=x_0\sin(\omega t+\varphi_0) Kinetic...

Homework Statement A rope of length L and mass m is attached to the ceiling and folded at mid length. The free end of the rope is held against the ceiling, then dropped at time t=0. a) Calculate the velocity of the free end as a function of y, its distance from the ceiling. b) Calculate R...

<< Note -- formatting fixed up by a Mentor >> 1. Homework Statement Please see the attached image for the problem statement. Homework EquationsThe Attempt at a Solution [/B] I uses the formula Fs = Fg1 +Fg2 + Ft1 + Ft2 I asumed the acceleration is equal to (F1+F2)/ m (4,9+19,6)/3 = 4,9ms^-2...

Homework Statement The problem states that there is a father pulling a 100 lb sled with a force of 100 lb at some angle. At what angle does the father have to pull in order for the sled to accelerate at 25 ft/s^2? The coefficient of kinetic friction here is given as 0.04. Homework Equations F...

I'm a little confused with the application of laws of motion on a man climbing a rope. Suppose a man of mass Mg is climbing a rope with an acceleration a. Rope is massless. Now if look through the frame of the piece of rope held by the man, there is a force Mg downward by man, ma downward...

Homework Statement Two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. One of the blocks w/ a mass of 1.5 kg accelerates downward at (3/4)g. A. What is the mass of the other block? Homework Equations There were no given...

Homework Statement A curious child finds a rope hanging vertically from the ceiling of a large storage hangar. The child grabs the rope and starts running in a circle. The length of the rope is 14.0m. When the child runs in a circle of radius 7.0m, the child is about to lose contact with the...

Homework Statement A system, consisting of a wide rope of mass 0.10 kg between two blocks each of mass 0.10 kg, is lifted by an applied force F = 9.0 N (Fig. 4 below). (a) Find the acceleration of the system. Find the tension at (b) the top of the rope, and (c) the bottom of one-fifth of the...

Homework Statement In the attached file. Homework Equations No equations needed. The Attempt at a Solution I answered it B. Not sure,though. If it is a thick rope the frequency decreses; therefore, the speed decreases.

[moderator: text edited to change the phrasing.] There is a question that that says: a 50 kg weight is suspended from the bottom part from a rope. If the rope has a weight of 100N. Then what is the tension at each end of the rope( the top part connected to the ceiling and the bottom part to...

Homework Statement A long, heavy rope hangs straight down from a high balcony on an apartment building. The lower end of the rope hangs about 1.0 m above the ground. If you grab onto the lower end and waggle it back and forth with constant frequency f, a wave travels up the rope. What would...

Homework Statement A climber with mass m=54.4 kg has reached the top of the l=15.70 m climbing wall, and then is lowered straight down by the belaying person without touching the wall. Assume that at the top the rope is going through the pulley, while to the belaying person the rope is inclined...

Let's say that we have two blocks - 2 kg and 1 kg. They are connected with a rope that can stand the maximal tension of 20 N. Does the maximal force we can apply to the block so that the rope does not break apart depend on the choice of the block?

Let's say that we have two guys, each weighs 50 kg. They are pulling a piece of against each other as hard as they can. The tension of the rope will therefore be the force of friction acting on each of them (the same magnitude). Now, let's say that a third person joins the party and grabs the...

1. A rope wraps an angle θ around a pole. You grab one end and pull with a tension T0. The other end is attached to a large object, say, a boat. If the coefficient of static friction between the rope and the pole is µ, what is the largest force the rope can exert on the boat, if the rope is to...

The above picture shows the forces on a disk supported by a rope which is wound around it. The tension T is shown to be acting at the point where the rope loses contact with the disk. I think the reason for this is that the friction is assumed to be huge so that the tension in the rope also acts...

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. a. Find a general solution for x(t), the length of rope through the hole.Homework Equations UPLOADED The Attempt at a Solution...

Homework Statement I have a rope held by a hook, which is attached to the ceiling by a chain (with an angle theta), in one side, the rope (with an angle alpha) is attached to a a wall, in the other side, the rope is carrying an anvil of 110 Kg mass in vertical position. What is the tension in...

Homework Statement As on the paper below: Homework Equations Suvat? The Attempt at a Solution As on my paper a) I think I got the acceleration correct by measuring the angle, halving the angle to get the force upwards by each rope. Or is that the wrong answer? b) Should be half as it’s...

Homework Statement Homework EquationsThe Attempt at a Solution The force F exerted by the wall on the left end of the rope will make an angle 30° with the vertical . If we do the force balance , F sin30° = 20 Fcos30° = Mg This gives M = 2√3 Kg . This gives 3.5 Kg . But answer given is...

Homework Statement Between two parallel walls we tighten a rope. One end of a rope is tied a little higher on the wall than the end on the opposite wall. On the rope we put a pulley with mass m which slides to equilibrium position. Homework EquationsThe Attempt at a Solution I assumed that in...

Homework Statement mass of pulley is 8 kg Homework Equations m1a=T m2g-T=m2a The Attempt at a Solution I solved question with neglecting mass of pulley but should I?

Homework Statement Homework Equations torque = force * distance The Attempt at a Solution Torque forces : TForceTensionRopeY - TBOX - TBEAM = 0 Net forces Y: ∑FY = FTensionRopeY + FHingeY - WBEAM - WBOX = 0 Net forces X: ∑FX = FHingeX - FTensionRopeX = 0 This is my first torque problem...

Homework Statement Hello; I have as shown in the picture, a rope (in green), this rope is located between a support A and a support B. The Support A doesn't move and attached to the ground. The support B apply a force F1 against the rope, this force is made by a helical compression spring...

Homework Statement What is the tension of this rope? Cosmonaut m=100kg is outside of spaceship M=5 tons on rope with length 64m. Cosmonaut along with his spaceship moves in orbit at a neglible distance. m=100kg M=5000kg L=64m Planet's mass 6*10^24 Planet's radius 6400km Homework Equations...

Homework Statement Mass of block: 19kg Applied force: 225N at 16 degrees to accelerate block from rest Coefficient of static: 0.55 Coefficient of kinetic: 0.30Homework Equations Unknown The Attempt at a Solution I have solved for parallel tension and perpendicular tension Tperp =...

Homework Statement "...you were presented with a geologist at the bottom of a mineshaft next to a box suspended from a vertical rope. The geologist sent signals to his colleague at the top by initiating a wave pulse at the bottom of the rope that would travel to the top of the rope. The mass of...

Homework Statement Tarzan swings from a cliff at the end of a 20.0m vine that hangs from a high tree limb. Immediately after Tarzan steps off the cliff, the tension in the vine is 719N and makes an angle of 29.0deg with the vertical. Tarzan's weight is 822N. What is the magnitude of Tarzan's...

Is the force of the stone on the rope "centrifuge"? Is the force of the stone on the rope "real" or "apparent"?

So here's a question for you boyscouts" You know those rope ladders? the kind with the wooden dowels that are used as stairs? Well, my question is, how could a grappling hook be affixed to a rope ladder so that the hook and its rope are thrown, but when you go to pull on the rope connected to...

What types of objects does Newtonian mechanics deal with? Is it just rigid bodies? I’m not sure how Newton’s laws could explain something like the motion of a wiggling rope.

Homework Statement Block B hangs from Block A by a Rope 1. Rope 2 hangs below Block B. Each block has a mass of 1.0 kg. Each rope has a mass of 250 g. The entire assembly is accelerating upward at 3.00 m/s^2 by force F. A. What is F? B. What is the tension at the top of Rope 1? C. What is the...

Homework Statement The following task causes me problems: The science fiction writer R.A. Heinlein describes in the novel "Friday" a satellite ("space elevator"), which consists of a long rope, placed directly above the equator. The rope is aligned along the Earth's radius. It moves so that...

Homework Statement A box weighs 12.6kg and it is dragged with a rope(it weighs 1.4kg and the length is 60cm).The force dragging the box is F=80N.The coefficient of kinetic friction is 0,5. What is the tension of the rope in the middle?(Answer:17N) Homework Equations No revelant equations The...

Homework Statement Part C: Find fundamental frequency. Homework Equations Tension(y) = μgy v(y) = sqrt(gy) Time it takes to travel from bottom to top = t_up = 2srqt(L/g) The Attempt at a Solution I found part A and B, which are tension and velocity. I don't know how to find part C because...

Homework Statement g = ##10m/s^2## ##\sqrt{3}## = 1.7 Determine work by the 20N force Homework Equations for an inclined plane: W = ((F+mgsin30)-(mgcos30)μ)s -> (Fx-ff)*s for object pulled with angle: W= (Fcos60-(mg-Fsin60)μ)s -> (Fx-ff)*sThe Attempt at a Solution W=...

Hello. I have an engineering idea, an invention. I want to make a watering valve for plants that opens the water when the soil moisture content is too low. I am looking for a material that (1) would not rot, and (2) absorb water and contract at a significant rate to open a valve (millimeter...

Homework Statement A worker is going to attempt to pull a 90-kg box across a level floor by a rope that makes an angle of 35° with the floor. The tension in the rope is gradually increased until the box just starts to move. If the coefficient of kinetic friction is 0.36 and the coefficient of...

Homework Statement A standard man climbs 15 m up a vertical rope. How much energy (in cal) is dissipated as heat in a single climb if 23% of the total energy required is used to do the work? (Assume the standard man has a mass of 70 kg.) Homework Equations Q = mgΔh The Attempt at a Solution I...

Homework Statement Homework Equations Area of triangle=(base x height)/2 The Attempt at a Solution a is the side of the triangle. Area of an equilateral triangle: ##~\displaystyle \frac{a}{2h}=\tan 30^0=\frac{\sqrt{3}}{3}## $$\rightarrow A_t=\frac{\sqrt{3}}{4}a^2$$ Side of the rectangle...

Homework Statement Homework Equations F = ma The Attempt at a Solution So , i drew a freebody diagram for the 6k gram block, and the tension to the right of I call T2. Therefore, the force of gravity component parallel to T2 is (6*9.8)sin30. Therefore, T2 is equal to this value which i...

Homework Statement Homework EquationsThe Attempt at a Solution I have the solution of the questions and I don't understand why the tension in Q7 is assumed to be uniform throughout the rope, however the tension in Q7 is not the same throughout the rope (i.e. for a segment dl, the tension in...

Hi everyone, I have attached a sketch which may help understand the question I have. I have a hinged flap which hangs vertically (hinge at top). The flap weight is 10kN and it is 1.8m tall (uniform mass). At the bottom of the flap is a lifting eye. 2.5m away and 0.3m above height of the hinge...

I was reading this wikipedia article: https://en.wikipedia.org/wiki/Ant_on_a_rubber_rope In the analytic solution section, it says that, at time ##t##, a point at ##x=X##, i.e. initially at a distance ##X## from the starting fixed point on a uniformly expanding rope moves with a speed...

Homework Statement I solved the first part of the problem correctly. Here there is the second part: assume that m1 is large enough so that the rope starts to slip and the masses start to move. What is a, the magnitude of the acceleration of the masses after sliding has begun? Hint: Just when...

Homework Statement A constant force F pulls a rope vertically upward. The rope is lifting a block of mass M, to which it is attached. The rope is of uniform composition, and has mass m and length L. Find the tension in the rope at a position y along its length. (The tension will not...

Homework Statement The angle at the bottom is 25 degrees Homework Equations Springs Parallel; keq = k1 +k2 Sum Forces = f1 + f2 x = f1/k1 = f2/k2 Springs Series; 1/keq = 1/k1 + 1/k2 Sum x = x1 +x2 F = k1x1 =k2x2The Attempt at a Solution Basically I'm having trouble finding the spring...

Hi, I am looking for a formula that describes the deflection of an inclined rope that is fixed in both ends, the left end is at the origin and the right end is at (xB, yB). The known parameters are; the length between the ends is L, the length of the rope is l, the initial angle is β and there...

Homework Statement Homework EquationsThe Attempt at a Solution Suppose length of upper portion is ##x## and that of lower portion is ##L-x## . In time ##dt## , ##dm## mass of rope starts moving abruptly with speed ##v## . The kinetic friction acting on the upper part of the rope is ##f =...

Homework Statement M = M There is another mass "m" attached to mass "M" with a rope There is an acceleration (clockwise) Does Tension2 smaller,bigger or equal to Tension1? Homework Equations F = ma The Attempt at a Solution So this is what I understand just by the logic: In any case -...