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.
A box of mass 35 kg hangs motionless from two ropes, as shown in the diagram above. The angle α is 34 degrees. Choose the box as the system. The x-axis runs to the right, the y-axis runs up, and the z-axis is out of the page.
What is the x-component of the force on the block due to rope 2...
Homework Statement
Hi there. Where, I got this exercise. I have a ball attached to an ideal rope with longitude L, moving on a circle with speed V on a circular trajectory with radius R over an horizontal plane.
So it asks me to express the subjected force over the rope as a function of the...
situation: boat moored at the dock
fact (so to say) 1 - why the longer the rope and his catenary shape the stronger it will become? assuming it is true.
fact 2 - why a man can keep a heavy boat stopped with just a coiled rope in the mooring?
ps..if there's a better place to put the thread...
Homework Statement
Two blocks m1= 9.4 kg and m2 = 4.9 kg are connected by a homogeneous rope that has a mass of mr = 1.42 kg. A constant vertical force, F = 184.9 N, is applied to the upper block.
What is the magnitude of the acceleration of the system?
What is the magnitude of the...
Homework Statement
A uniform rope of length L hangs freely from the ceiling. Show that the time for a transverse wave to travel the length of the rope is t0 = 2\sqrt{L/g}.
Homework Equations
v = \sqrt{\tau/\mu}. (Where \tau is the tension and \mu the linear density of the rope.)...
Homework Statement
There is a steel beam of 1400kg hanging from the ceiling by two ropes. The first rope (R1) is 20 degrees to the left of the steel attach point, the second rope is 30 degrees to the right of the attach point.
Here is the diagram...
Homework Statement
2. There are four masses hanging by a rope from the
ceiling, as shown in the figure. Two of the tensions
and three of the masses have been measured.
Show that the fourth mass can be expressed as
m4 =[m1T2/(T1 − T2)]− m2 − m3.
Homework Equations
F=ma, F1=-F2, T=ma...
Homework Statement
a rope wraps around an angle theta around a pole. You grab one end and pull with a tension T. The other end is attached to a large object say a boat. If the coefficient of stating friction between rope and pole is mu, what is the largest force the rope can exert on the...
Homework Statement
Mass hanging from the pulley in 50kg, the mass on the rope is 1kg. Please see attachment for details. The answer will be in terms on L.
Homework Equations
The sum of the forces in the y-direction and x-direction are equal to 0.
The Attempt at a Solution
Adding...
Homework Statement
(Halliday, Resnick, Krane - Physics, Fifth Edition. Chapter 5, Problem 11.)
A massless rope is tossed over a wooden dowel of radius r in order to lift a heavy object of weight W off of the floor. The coefficient of sliding friction between the rope and the dowel is \mu...
Homework Statement
A mass M hangs from a rope which is connected to a ceiling. The rope does not stretch. How much energy is stored in the mass-rope system?
Homework Equations
F_{g}=-mg=-Mg
W=Fd
The Attempt at a Solution
I'm confused. The mass will have potential energy equal to mgh...
Homework Statement
Utilities companies usually use a separation between poles about 340 feet. These poles are 34 feet tall and due to restrictions due to maximum height of trucks using interstates and state routes, the minimum clearance is 20 feet (and also considering the increase of sag...
Vertical Launch of an Attached Mass
Homework Statement
A mass M attached to an end of a very long chain of mass per unit length \lambda
, is thrown vertically up with velocity v_{0}.
Show that the maximum height that M can reach is:
h=\frac{M}{\lambda}\cdot \left [...
Hi,
My first post and I'm hoping someone can help/verify a problem I have. I've got a rope with a ball fastened to each end. The balls are secured inside a c-channel. There is a small amount of slack in the rope such that the balls are loose inside the channel (the rope is slightly longer...
Homework Statement
A student pulled a box of books weighing 68kg by a rope at an angle of 58 degrees above the horizontal plane of the floor. The floor has a coefficient of kinetic friction of µk=.27. What is the acceleration of the box of books?
Homework Equations
∑F = ma
Force...
Homework Statement
The tansverse displacemrnt of a rope, is given by a function of x and t ( in m and sec) by:
y(x,t) = 0.04 sin(0.21x - 8t)
if the rope is 7m long and has a mass 0.4kg
Find:
a. the tension in the rope
b. the maximum transverse component of the tension
Homework Equations...
Homework Statement
"Geologist A" at the bottom of a cave signals to his colleague "Geologist B" at the surface by pushing a 13kg box of samples from side to side. This causes a transverse wave to propagate up the 63.0m rope. The total mass of te rope is 12.0kg. Take g=9.8m/s2
How long does it...
Hi,
In one of the examples of "An Introduction to Mechanics" he argues that the tension at the end of a whirling rope must be zero as the end is free.
I just don't understand how this can be.
Below is the example
Thanks
Homework Statement
Tarzan, who weighs 678 N, swings from a cliff at the end of a convenient vine that is 19.0 m long (see the figure). From the top of the cliff to the bottom of the swing, he descends by 3.2 m. If the vine doesn't break, what is the maximum of the tension in the vine...
A question came up on a maths Q+A site about the possibility of wrapping a string around a sphere.
http://mathoverflow.net/questions/8091/is-it-possible-to-capture-a-sphere-in-a-knot
The obvious engineering solution is to just make a net and put the sphere in, and there are a bunch of photos...
Sorry I deleted the template, it doesn't seem to apply much to this particular problem:
A professional strongman ties rope A to a building and pulls as hard as he can on the rope. Two other professional strongmen take either end of rope B and pull in opposite directions as hard as they can. If...
I am studying differential equations from this book by Edwards and Penney, and I seem to have stumbled on this rather bizarre contradiction which I can't seem to get myself out of.
The problem, which is a variation on the classic rope falling off a table, goes as follows:
"Suppose that a...
Homework Statement
Two blocks are positioned according to the figure. Block A (80 lb) is attached to a rope as such that it doesn't slide or fall from block B (120lb). Compute the smallest value of Force to be applied on Block B for it to not move parallel to the inclined plane...
I have been interested in how Gyroscopes work and now have a question about this video:
http://www.youtube.com/watch?v=8H98BgRzpOM&feature=related
If we spun such a wheel up to speeds close to the speed of light, what would happen if we cut the rope off?
After some pondering, using my little...
Homework Statement
Arlene is to walk across a "high wire" strung horizontally between two buildings 10.0 apart. The sag in the rope when she is at the midpoint is 10.0 , as shown in the figure .
If her mass is 47.0 , what is the tension in the rope at this point?
Homework Equations...
Homework Statement
A 75 kg student runs at 5 m/s, grabs a rope, and swings out over a lake. He releases the rope when his velocity is zero. a) What is the angle when he releases the rope? b) What is the tension in the rope just before he releases it? c) What is the maximum tension in the rope...
Homework Statement
http://s284.photobucket.com/albums/ll12/toluun/?action=view¤t=IMAG0004.jpg
Here is a picture of the problem at hand. I know how to solve the problem however the only thing I don't understand is the relationship between A and B. This means that if A moves to the...
Can someone help me understand tension?
Can someone please help me understand how to find tension? PHYSICS?
I am trying to prepare for a upcoming test and I am having trouble understanding how to find tension. I have copied a problem from my sample test and provided the answer as well.
Can...
Homework Statement
Demonstrate using free body diagrams and equations that, using the same force, a heavier load can be lifted with a rope and pulley system than with a rope alone.
2. The attempt at a solution
To lift something off the ground without a pulley, the applied force must be...
A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 695 N. As the drawing shows, (The angle at left is 65) she is closer to the left cliff than to the right cliff (Angle to the right is 80), with the result that the tensions in the left and...
Homework Statement
Walking by a pond, you find a rope attached to a tree limb 5.2 m off the ground. You decide to use the rope to
swing out over the pond. The rope is a bit frayed but supports your weight. You estimate that the rope might break if
the tension is 80 N greater than your...
Homework Statement
A 60kg man is climbing a rope that is connected to a pulley and on the other side the rope is connected to a 100kg block. what is the tension in the rope?
Homework Equations
T-mg+F=ma
The Attempt at a Solution
this was my attempt:
Mg-T-F=Ma;
adding the equations...
1. A rope is attached to a block. The rope pulls on the block with a force of 225 N, at an angle of 30 degrees to the horizontal (this force is equal to the tension in the rope).
What is the x-component of the force on the block due to the rope?
What is the y-component of the force on the...
Homework Statement
A mountain climber is attached to a rope. She slips, and after she has fallen 4.5 m, the rope begins to help decelerate her. If the constant deceleration is 5.2g, how many cm will the rope stretch before she stops? (For most real ropes, the deceleration depends on the...
Hello,
I'm a complete laymen as far as any material science goes (engineering too), but i need Your help please.
I have w steel wire rope, 2mm in diameter. i need to know two things:
1) i need to make make a "wire mesh", the simplest plain weave. however, i must make it in such a way...
Homework Statement
A rope is pulling up a 1200 Kg car. The upwards acceleration is 0.8 m/s2. How much tension should the rope be able to withstand?
Homework Equations
Net force is equal to mass x acceleration.
The Attempt at a Solution
So would it just be 1200 Kg x 0.8 m/s2 which...
A 23 kg box hangs from a rope. What is the tension in the rope if the following are true?
a)The box is at rest?
b)The box moves up at a steady 5.0 m/s?
c)The box has Vy = 5.0 m/s and is speeding up at 5.0 m/s^2?
d)The box has Vy = 5.0 m/s and is slowing down at 5.0 m/s^2
I have...
Homework Statement
If the maximum tension either rope can sustain without breaking is 4000 N, determine the maximum value of the hanging weight that these ropes can safely support. You can ignore the weight of the ropes and the steel cable.
The Attempt at a Solution
I figured out that the...
Homework Statement
A young lady is jumping rope; she always jumps so that both feet leave the ground at the same instant of time. Each of her jumps reaches a height of 14.3 cm off of the ground. (This means that she moves upward by 14.3 cm after her feet leave the ground.) The weight of the...
Homework Statement
A rope is 5 meters long and hangs over the edge of a well. It has a bucket of water weighted 20 kilograms attached to one end. For Simplicity, use g=10N/kg
Suppose the rope has a uniform density of \rho = 1kg/m
Homework Equations
W=\int F(x)xdx
The Attempt...
2. The equation you will be using is given by T = kx. Please refer to chapter 17 in the book for a reminder. I require you to design an experiment to calculate the stiffness constant k for the bungee rope I have given you. In the report you should consider the following points
a. What type...
For example, if one end of a rope is attached to a wall, and the other end is attached to the floor (at an angle), if I pull straight up on the rope, would that exert a force on the wall?
1. OK, Two blocks are hanging from a ceiling, with a rope between them. The top block is 72 N, while the bottom block is 150 N. What is the tension in the rope between them?
Homework Equations
The Attempt at a Solution My confusion is that I'm not sure if we're supposed to include...
Hi,
I am preparing for a test and have the following question.
there is the image attached too.
Indiana Jones is swinging from a rope. The distance between the pivot point and his center of mass is 31.0 m. He begins swinging from rest at an angle θ = 19.0o as shown in the figure. Assuming...
Homework Statement
If we want to pull a block with a weight of 5N attached to a rope that is just able to resist 20N. What is the maximum force that we can exert without breaking the rope? xD
Homework Equations
Fnet (in y) = ma = F (applied force) - W (weight)
The Attempt at a...
Homework Statement
Find the maximum Tension in the rope that supports the bungie jumper.
mass of the jumper is 75kg. neglet air resistance.
Homework Equations
would it be Fnet = ma
Fgravity - F Tension = ma
The Attempt at a Solution
I am not sure how to...
Homework Statement
Find the maximum Tension in the rope that supports the bungie jumper.
mass of the jumper is 75kg. neglet air resistance.
Homework Equations
would it be Fnet = ma
Fgravity - F Tension = ma
The Attempt at a Solution
I am not sure how to...
Homework Statement
A 4.0kg magpie (bird) flies towards a very tight plastic wire on a clothes line. The wire is perfectly horizontal and is stretched between poles 4.0m apart. The magpie lands on the centre of the wire, depressing it by a vertical distance of 4.0cm. What is the magnitude of...
how do you do the last part.
A 13.0 kg bucket of water of is suspended by a rope wrapped around a pulley, which is just a solid cylinder 0.300 m in diameter with mass 17.0 kg. The cylinder is pivoted on a frictionless axle through its center. The bucket is released from rest at the top of a...