Homework Statement
Identical ropes were tied to two trees, and two men, A and B, started shaking the free ends at the same instant a short while ago (Figure 1) .
Which rope has the greater tension?
Which man is shaking with the greater frequency?
Homework Equations
T=1/f λf=v
The Attempt...
Homework Statement
Homework Equations
My assumption:-
if one of the ropes have been cut, it mean the object just hang VERTICALLY with one rope with 5N load on it.Is it my assumption is correct?
The Attempt at a Solution
Tension of the other rope = 5N (is it correct)?? base on my assumption...
Homework Statement
A physics student of mass 57.0 kg is standing at the edge of the flat roof of a building, 12.0 m above the sidewalk. An unfriendly dog is running across the roof toward her. Next to her is a large wheel mounted on a horizontal axle at its center. The wheel, used to lift...
If a string can handle a max tension of 85 N what is the largest mass that could be lifted with this string if it is lifted with an acceleration of 2.0 m/s^2 up on the moon?
Let up be positive in value.
Ft = - 85 N, a = 2.0 m/s^2, Fg = -1.6 m/s^2
Homework Equations
F = ma -> Fg = mg -> Ft =...
The Question:
Using a simply pulley/rope system, a crewman on an Arctic expedition is trying to lower a 5.65-kg crate to the bottom of a steep ravine of height 23.9 meters. The 60.9-kg crewman is walking along holding the rope, being careful to lower the crate at a constant speed of 1.50 m/s...
Homework Statement
Consider a long rope with uniform mass density extending radially from just above the surface of the Earth to a radius of n'R. Show that if the rope is to remain above the same point on the equator at all times, then n' must be given by
n'2+n' = (8 pi G p)/(3 w^2) G is...
Hi, I am having a seemingly hard time trying to find the tension in this rope. I've looked everywhere for a problem with these given variables but I found none. Here we are given: T1, T1 angle, mass of man and that is all. I included the picture here.The Attempt at a Solution
I found, t1y, which...
Homework Statement
How could a 1000 N object be lowered from a roof using a cord whose breaking strength is only 800 N?
Homework Equations
∑F=ma
The Attempt at a Solution
By slowing down the acceleration to a point where the force down would be less than 800.
weight=m(g)
1000N=m(9.8)...
Homework Statement
AP French Mechanics Problem 7-1
Two identical gliders, each of mass m, are being towed through the air in tandem. Initially they are traveling at a constant speed and the tension in the tow rope A is T(sub0). The tow plane then begins to accelerate with an acceleration A...
Homework Statement
A 65kg rock climber is abseiling down a rock, consider the situation when he's in equilibrium and standing at an angle on the surface of the rock, hanging from a rope.
The rope is at an angle of 40 degrees to the horizontal, calculate the tension in the rope
Homework...
Homework Statement
A wheel is made of two hoops, one of radius R and mass ##\frac{2M}{3}## and the inner is of radius R/2 and mass M/3.
1. the wheel rotates around it's axis with angular velocity ω but remains in place. what is it's kinetic energy
2. the wheel rotates without friction at...
Homework Statement
A fellow student of mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x,t)=2.30mmcos[(6.98rad/m)x+(742rad/s)t]. Being more practical-minded, you measure the rope to have a length of 1.35 m and a mass of 3.38 grams. Assume that the...
Homework Statement
A rope is used to lower a 1.1 kg bucket into a well at an acceleration of 1.9 m/s2. Determine the tension in the rope (in Newtons). Assume that air resistance is negligible and the acceleration due to gravity is -9.8 m/s2. Take the positive direction to be upward.
Homework...
Homework Statement
A rope of uniform mass per unit length ##\lambda## and length ##L## lies curled on a table, with a short length ##\delta l## of it hanging through a hole in the table. At time zero, the rope begins to slide through the hole. At what time ##t_c## (in seconds) does the end of...
I drew a FBD about point A and came up with the two equations:
∑Fx=0 20sinθ - T-ab(cos70)=0
ΣFy =0 -20cosθ + T-ab(sin70) -20=0
My answer is not coming out so I either messed up on the FBD or the equations, some help would be appreciated. I'm on 3-10 by the way.
Homework Statement
An empty elevator of mass 2.7×103 kg is going down by a cable at an acceleration of 1.2 m/s2. What is the tension in the rope pulling the lift?
Homework Equations
## T=m(g-a) ##
The Attempt at a Solution
## T=m(g-a) \\ \Rightarrow T = 2.7 *10^3 (9.8-1.2) \\ \Rightarrow T=...
Homework Statement
A rope is pulled off with a force F from a combined cylinder. the smaller cylinder's radius is r and the big one's is R. the cylinder rotates on a rough surface without sliding. the force makes an angle θ with the horizon.
What's the acceleration's "a" magnitude and...
Homework Statement
A rope is attached to a wall on one end and to a car on the other end. Someone pushes up on the rope and the car starts to move when the rope makes an angle of 5o with the floor. Mcar=2500kg
Homework Equations
ΣFx=ma
ΣFy=maThe Attempt at a Solution
Look at the car and the...
Homework Statement
A homogeneous flexible rope rests on a wedge whose sides make angles α and β with horizontal. The centre of rope lies on C. With what acceleration should the wedge be moved for the rope to stay stationary with respect to wedge? (all surfaces are smooth).
Homework Equations...
Suppose a pulley is lifting a mass through rope so the rope is applying force to mass in form of Tension. Is the rope also applying that force to pulley i.e Is pulley being acted upon by Tension??
Homework Statement
Homework Equations
principle of moments
The Attempt at a Solution
Okay so when resolving the forces horizontally and vertically, I get RA= T cosθ for horizontal component and RB= W + T sinθ for vertical component. To get my T, I chose to take moments about B, though I'm...
Homework Statement
A dockworker adjusts a spring line (rope) which keeps a ship from drifting alongside a wharf. If he exerts a pull of 190 N on the rope, which has 1.25 turns around the mooring bit, what force T can he support? The coefficient of friction between the rope and the cast-steel...
Homework Statement
A mass hangs on the end of a massless rope. The pendulum is held horizontal and released from rest. When the mass reaches the bottom of its path it is moving at a speed v = 2.7 m/s and the tension in the rope is T = 19.8 N.
1. How long is the rope?
2. What is the mass of the...
Homework Statement
A rope of mass m is hanging down from the ceiling. Nothing is attached to the loose end of the rope. As a transverse wave travels upward on the rope, does the speed of the wave increase, decrease, or remain the same?
Homework Equations
$$v=\sqrt{\frac{F}{m/L}}$$
$$F=-ma$$...
Homework Statement
Serway's Physics for Sciencetists and Engineers with Modern Physics, 9th Edition (current), Chapter 16, problem 19:[/B]
(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...
Homework Statement
Ringling Brothers Bamum and Bailey Circus is using a pulley to lift an Elephant on to a ship. If the Elephant is 2200kg and you have to raise her 15m with a pulley that has an efficiency of 60%, then how much rope do the handlers, who can pull with a combined force of 115 N...
Hi all, first post here. I'm a junior Physics/Math double major at UMass Amherst, playing with some problems over the summer. I'll get right into it.
A rope with constant tension T is deflected through the angle 2\theta_{0} by a smooth, fixed pulley. What is the force on the pulley?
It is...
I am pulling a rope and that rope is pulling another body which is attached to rope. The force applied by me on the rope will be equal to the force applied by rope on that body if 1. The rope can't increase in length due to force, or 2. if the rope is massless.
I understand the reason behind...
These is my problem Assuming the surface on which A rests is frictionless and there is no drag on either of the bodies as they move at common acceleration.
Correct me if I’m wrong, I think the bodies should have a common acceleration since they’re connected
Why does F? exist??, I know that...
https://auddoq.dm2302.livefilestore.com/y2mGb2n5mfKxwU4nZlLmOvyElgDcG0-5GG9dGoP4AbrV1taK31XrOoPmeyf9x9RQZ8kXLi0WG2Etd0-I8bVWqOgVufahONs02hTGFS-SUwBVRyd-ajz5Eza-nrk9yWa7kF6kPFtMdPD6MGIpfwQMhywCLfOOuIO4-3tLe1_KjSf9V0/20150505_234057356_iOS.jpg?psid=1
if the image does not show here's the link...
Homework Statement
The uniform I-beam has a mass of 74 kg per meter of length and is supported by the rope over the fixed 300-mm drum. If the coefficient of friction between the rope and drum is 0.50, calculate the least value of the force P which will cause the beam to tip from its horizontal...
Homework Statement
[/B]In the drawing, the rope and the pulleys are massless, and there is no friction. Find (a) the tension in the rope and (b) the acceleration of the 10.0-kg block. (Hint: The larger mass moves twice as far as the smaller mass.)
2. Formula's Used.
F = ma, W = Mg.
The...
Homework Statement
Here is my problem:
Homework Equations
Here is my work thus far and all the equations I've included.
The Attempt at a Solution
I'm not completely sure if my work is correct. I keep writing and erasing the tension equations because I can't decide which are right. Can...
Homework Statement
Two blocks, each with weight w, are held in place on a frictionless incline as shown in Figure. In terms of w and the angle a of the incline, calculate the tension in the rope connecting the blocks
Homework Equations
T = mg
The Attempt at a Solution
I cannot for figure out...
Hi everyone,
What I understand is that tension only exists if there are two forces pulling on a rope in opposite directions. What I have also read is that due to Newton's third law, the rope actually pulls back with a force equal but opposite to the two applied forces, so the forces look a bit...
Homework Statement
A geologist is at the bottom of a mine shaft next to a box suspended by a vertical rope. The geologist sends a signal to his colleague at the top by initiating a wave pulse at the bottom of the rope that travels to the top of the rope. The mass of the box is 20.0 kg and the...
In this derivation (see attached image), does the author assume that the rope doesn't slip? Because if it does, then there is no guarantee that ##\ddot{l} = 0##, right?
Also, does this equation apply to all pulley systems where one pulley is fixed and the other is allowed to move? For example...
Hi there,
I have a question I'm unable to get properly started on:
A cylinder of radius R and mass m is lodged between cross pieces that make
an angle θ with each other, as shown in the diagram below. The cross pieces
of negligible mass are connected in point C, with lengths AC = BC = 2R and...
A rope of mass M and length of L is dangling from a branch. The only force acting on it is gravity. The question is how do you find the tension of the rope at any position on the rope.
My proposed equation is this: F(r) = (Mg/L)(r) where r is any position on the rope. Is this equation correct...
Homework Statement
AB = AC =1.6m, hinged at A. a rope DE of length 0.5m is tied half way up.
A weight of 40Kg is suspemded from F 1.2m from A. Assuming frictionless floor and negligible mass of the ladder Find the tension in the rope DE.
Homework Equations
torque[/B] = Force × perpendicular...
Hey guys, I'm currently working a take home problem that's a little different then what I have been practicing in my Calc. book. I thought I set it up correctly, but yet I am not getting the correct answer.
Can someone show me where I am going wrong?
This is what I have so far.
Homework Statement
There are 3 masses ma= 50 kg, mb= 60kg, mc= 80kg. These masses are connected with a rope that affords a tension of 1000 N. On the mass 3 is applied a force F. Knowing that the tension between A and B TAB= 200 N. a)Find the acceleration b) find the maximal value of the force F...
Homework Statement
The question is;
Two ropes hold a 200N weight as shown here; http://i.imgur.com/BgeoIVq.png
Find the tension in each rope using a vector diagram.
The forces are in equilibrium in the diagram btw.
Homework Equations
Well they gave us 200N so no need for F = MA
Rx = R *...
I am trying to symbolically resolve the angle of rope that suspends a load (rectangle) between two pulleys given the length of rope that is let out over the pulleys. See attached image.
the load is not intended to move horizontally, only vertically. so you can imagine each pulley must have an...
Homework Statement
You suspend a bowling ball of mass m using a spring and a rope. The spring is horizontal and has spring constant k; the rope makes an angle θ with the vertical.
Answer all parts in terms of m, g, k, and θ.
a) What is the tension T in the rope?
b) Your arch nemesis cuts...
Hi all, I'm a physicist, and I'm now trying to understand and model a problem with a multishafted cord, being pulled from one side in order to transfer force. The cord has its own elastic properties (elongation, bending etc.), it goes through several pulleys with friction, and most likely its...
Homework Statement
A rope of mass M and length l lies on a friction less table, with a short portion, ##l_0## 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.
(Ans: ##x=Ae^{\gamma t}+Be^{-\gamma t}##, where...
Homework Statement
A rope of mass m forming a circle is placed over a smooth round cone with half angle θ. Find the tension in the rope .
Homework EquationsThe Attempt at a Solution
Since the half angle is θ , the normal force N acts at an angle θ with the horizontal . The weight acts...