A 65.0 kg tightrope walker stands at the center of a rope. The rope supports are 10 m apart and the rope sags 10.0^\circ at each end. The tightrope walker crouches down, then leaps straight up with an acceleration of 7.70 {\rm m}/{\rm s}^{2} to catch a passing trapeze. What is the tension in...
Homework Statement
Determine the force of gravity acting on the masses (we want to end up with 9.8m/s2---> My situation : A rope with 2 different masses hanging on each side, is held by a pulley. The heavier mass falls towards one end. (teacher said something about the mass having to cancel out...
Homework Statement
A man of mass 64.2 kg stands on a scaffold supported by a vertical rope at each end. The scaffold has a mass of 23.2 kg and is 3.2 m long. Suppose the man stands to the right from the middle of the scaffold that is a distance one sixth of the length of the scaffold. What is...
Homework Statement
A block of mass M is pulled along a horizontal frictionless surface by a
rope of mass m, as shown. A horizontal force P is applied to one end of
the rope. (a) Show that the rope must sag, even if only by an imperceptible
amount. Then, assuming that the sag is negligible...
This has been driving me crazy because I thought I knew what I was doing, but the book says I'm wrong. I even worked backwards the answer in the book and it makes no sense to me. Please work this out and tell me what I'm doing wrong.
Homework Statement
A block of mass m1 = 250g is at rest on...
Homework Statement
You have 3 masses. M1 = 4 kg. M2 = 1kg. M3 = 2kg, M1 is attached to M2 by a rope. M2 is attached to M3 by a rope. M1 is hanging from a pulley attached to the left end of a table, M2 is on the table, and M3 is hanging from a pulley attaced to the right end of the table.
The...
Homework Statement
JayJay is running topspeed of 8 meters/seconds, he grabs a string handing vetical fr. a tall-tree. how high will he swings upwards,b.does the length of the string affect the total height?c. if it tkaes him 2s to reach that height, how long is the string.d.explain why the...
Homework Statement
A uniform rope of mass m and length L hangs vertically from the ceiling. The distance along the rope, as measured from the bottom of the rope is y (i.e., the bottom of the rope is y = 0 and the top is y = L).
Homework Equations
v = sqrt(T/u) ?
The Attempt at a Solution...
Now, I'd have to be using Newton's second law, here.
Since there is no acceleration on the y axis: sum of forces_y = ma = 0
Now, as for the forces on the x axis, I thought I would need to do something like this, to find the tension of the rope. Let T = tension of rope.
As the box...
Tarzan swings on a 23.8 m long vine initially inclined at an angle of 36° from the vertical.
(a) What is his speed at the bottom of the swing if he starts from rest?
m/s
(b) What is his speed at the bottom of the swing if he starts with an initial speed of 2.22 m/s?
m/s
help please...
Homework Statement
Two masses M1 = .600kg and M2 = 2.2kg connected by a cord of negligible mass and passes over a frictionless pulley of negligible mass. Assuming that y-axis has a positive upward direction, what is the tension in the cord?
Homework Equations
F = ma
W = mg
The...
Homework Statement
A mass m is attached by a rope to car. The car accelerates to speed V before the rope becomes taut. The rope is length R and will stretch and additional length Rs. Find the maximum force on the rope. Ignore friction and assume that the rope runs parallel to the ground...
Homework Statement
A hemisphere of radius R and mass M, curved side down, is pulled along a plane at a constant velocity by
means of a horizontal force F. The coefficient of sliding friction is mu. Find the the angle at which the hemisphere
is inclined as it is pulled. C.M. of the...
Hi people, here's my problem:
A uniform, flexible rope of length D, mass M, hangs off a frictionless table-top of height greater than D. The length of the section of rope hanging off is A. Gravity accelerates the part of the rope that is hanging off, so the length of the hanging part increases...
Homework Statement
A flexible rope of length l and mass m hangs between two walls. The length of the rope is more than the distance between the walls, and the rope sags downward. At the ends, the rope makes an angle of \alpha with the walls. At the middle, the rope approximately has the shape...
Homework Statement
A point object of mass m is connected to a cylinder of radius R via a massless rope. At time t = 0 the object is moving with an initial velocity v perpendicular to the rope, the rope has a length L, and the rope has a non-zero tension. All motion occurs on a horizontal...
Homework Statement
Consider an example that will make use of a hinged rod supported by a rope. The rod has a mass of 1.4 kg, a length r, and there is an angle of 34 degrees between the rope and the rod. What is the tension the rope
Homework Equations
The Attempt at a Solution
Fx...
[b]1. Pulling up on a rope, you lift a 4.00-kg bucket of water from a well with an acceleration of 2.40m/s2. What is the Tension in the rope?
[b]2. I know the basic equations like net force = mass X acceleration. Is the tension my net force? Or is it my normal force? I basically have no...
Homework Statement
A heavy rope 3 m long is attached to the ceiling and allowed to hang freely. Let y = 0 denote the bottom end of the rope. To get started on this problem, imagine cutting the rope at an arbitrary value of y. Draw a free body diagram of each of the two pieces of rope to...
Homework Statement
A flagpole of height h has a flag attached that is being blown by the wind with force F at a height of 0.8h. In order to prevent the flagpole from blowing over a rope is run from an anchor in the ground to the top of the flagpole at an angle \vartheta. What is the...
I have to cut a tree down that is 90' tall and weighs 12000 lbs. It is leaning 10 deg from vertical away from the direction of pull. My rope is tied at 50' up on the tree and the angle from horiz for the pull rope is 15 deg. I would like to how much strain will be on the rope as I cut the tree...
This thread is a continuation of another thread where the mechanics of water waves were discussed - see: https://www.physicsforums.com/showthread.php?t=274210
I'm trying to understand the detailed mechanics of a transverse wave in a rope. I base my ideas here on Crowell's textbook (see...
Homework Statement
A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling. One end of the rope is held by Student A of mass 70 kg, who is at rest above the floor. the opposite end of the rope is held by Student B of mass 60 kg, who is suspended at rest above...
Homework Statement
A climber with a weight of 533.8 N is held by a belay rope connected to her climbing harness and belay device; the force of the rope on her has a line of action through her center of mass. The indicated angles are 40 degrees and 30 degrees. If her feet are on the verge of...
Hi, I've been working on this problem for more than 4 hours now. and I haven't got a clue on how to finish the problem. ANY help would be tremendously appreciated!
Thanks!
Homework Statement
a pulley has a circumference of 1.20m and mass of 2.25kg. pulley is a solid uniform disk. a heavy...
Homework Statement
Using a uniform strut, a rigid brace hinged at the floor, a
person holds a 30-kg engine in equilibrium while it is being
repaired. The strut has a mass of 12.5 kg. A smooth rope passes
over a pulley at the end of the strut. (a) What is
the force exerted on the rope by...
Rope with mass m is being dropped on a scale. What is the maximum weight the scale will register? Length of the rope is 1 and it is dropped from thee stretched out position.
Find the Tension in the rope ...( really simple :D)
Homework Statement
A block pulled by a string is moving on a horizontal plane with a constant speed, it weighs 25.0 N and its coefficient of kinetic friction is 0.35 . Find the tension in the rope ?
Homework Equations
Fx = t - Fk
T =...
Homework Statement A rope that is 30° to the horizontal has a tension of 150 N. It is used to pull a 40kg packing crate on a rough sruface through a distance of 6 m. If the crate moves at a constant speed, find the work done by friction.
Homework Equations
Energy formulas, not...
Hi...
I have a little assignment where I'm not quite sure, what would be the correct answer...
A massless pulley, is mounted to the ceiling with a massless rope. Over the pulley runs another massles rope, with a box with mass m in one end and a box with mass 2*m in the other.
Q1) In...
Homework Statement
Two students want to raise a heavy box onto the back of a truck. They do this by putting a rope through a handle on the box, and each lifting one side of the rope. The arrangement is symmetrical, so that the rope makes an angle (theta) with the horizontal on either side. The...
Homework Statement
Given:
A 306 kg crate hangs from the end of a 10.3 m long rope. You pull horizontally with a varying force to move it a distance d = 5.7 m to the right. The magnitude of the applied force, F, when the crate is at rest in its final position is 1992.4 N.
Question...
Homework Statement
Figure P4.24 shows loads hanging from the ceiling of an elevator that is moving at constant velocity. Find the tension in each of the three strands of cord supporting each load, given that θ1 = 40°, θ2 = 50°, θ3 = 62°, m1 = 3 kg, and m2 = 6 kg.
Homework Equations...
Homework Statement
How much tension must a rope withstand if it is used to accelerate a 1200-kg car at 0.60m/s2? Ignore friction
Homework Equations
The Attempt at a Solution
Homework Statement
A 306 kg crate hangs from the end of a 10.3 m long rope. You pull horizontally with a varying force to move it a distance d = 5.7 m to the right. What is the magnitude of the applied force, F, when the crate is at rest in its final position?
Associated Diagram...
Homework Statement
Three ropes are tied together. 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. Friend Two is 120 degrees to the left of Friend One (where Friend One's vector is on the positive x-axis).
Homework...
Homework Statement
A box weighing 68 N rests on a table. A rope tied to the box runs vertically upward over a pulley and a weight is hung from the other end.Determine the force that the table exerts on the box when weight hanging on the other side of the pulley is 27N.
Homework Equations...
Homework Statement
This is a problem that I am trying to help my friend with. I understand how to solve this problem the traditional way by rotating the axes of the block on the inclined plane, but then my friend asked me to show him how the answer is the same with non-rotated axes.
There...
Hello,
"Two carts are connected by a rope and are free to move on a horizontal surface. We apply a force on the second cart. Draw a diagram of the forces that act on the two carts."
the answer is:
http://img238.imageshack.us/img238/4024/diagrameo3.jpg
I don't understand T1 and T2 (the...
Homework Statement
Consider a rope that, unlike those usually studied in mechanics problems, actually has a significant mass "m". The tension at the right end of this rope is T2 and that at the left end is T1. (figure1.0) The rope has an acceleration a_rope to the right.
Complete...
This is more of a conceptual question, meant to help us understand how tension forces work.
Homework Statement
Assume that segment R exerts a force of magnitude T on segment L. What is the magnitude FRL of the force exerted on segment R by segment L?
Give your answer in terms of T and other...
Hi, could someone look over my work and tell me what I'm doing wrong? I seem to be getting the wrong answer...
Homework Statement
A 4.7kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.81 m/s^2. If the upward acceleration of the bucket is 3.1 m/s^2, find the...
Homework Statement
The rope of a swing is 2.90 m long. Calculate the angle from the vertical at which a 82.0 kg man must begin to swing in order to have the same KE at the bottom as a 1450 kg car moving at 1.11 m/s (2.48 mph).
Homework Equations
k=(m*v^2) / 2
U = mgh
The Attempt...
SOLVED
Homework Statement
Two rock climbers, Bill and Karen, use safety ropes of similar length. Karen's rope is more elastic, called a dynamic rope by climbers. Bill has a static rope, not recommended for safety purposes in pro climbing. Karn falls freely about 2.0m and then the rope stops...
Homework Statement
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. A horizontal force F is applied to one end of the rope. (a) Show that the rope must sag, even if only by an imperceptible amount. Then, assuming that the sag is negligible, find (b) the...
Homework Statement
My professor told me about this problem and I wanted to do it to practice for the test.
A rope attached to two fixed points A and B will take the shape that minimizes the potential energy. Find the shape of the curve.
Homework Equations
mgy
df/dy-d/dx(df/dy')=0...
A truck is towing a 1.00*10^3 kg car at a constant speed up a hill that makes an angle of 5degrees with respect to the horizontal. A rope (negligable) is attached to the truck at an angle of 10 degrees with respect to the horizontal. Neglect friction. What is the tension in the rope?
I'm not...
Homework Statement
A 20 kg mass is suspended by two ropes. Rope 1 goes to the wall horizonatlly from the left side of the mass. Rope 2 goes from the top right corner of the mass to the wall at an angle of 30 degrees from the horizontal top of the mass.
a- If the mass is at rest, what is...
Hi, I thought I had some sort of an understanding in physics until I came across these two websites. On the first page the person in the air exerts a force on the rope but for the rope and person to stay still another force must be exerted by person number two hence the doubling of the force on...
Homework Statement
This problem introduces the concept of tension. The example is a rope, oriented vertically, that is being pulled from both ends. (Intro 1 figure) Let and (with u for up and d for down) represent the magnitude of the forces acting on the top and bottom of the rope...