What is Conical pendulum: Definition and 65 Discussions
A conical pendulum consists of a weight (or bob) fixed on the end of a string or rod suspended from a pivot. Its construction is similar to an ordinary pendulum; however, instead of swinging back and forth, the bob of a conical pendulum moves at a constant speed in a circle with the string (or rod) tracing out a cone. The conical pendulum was first studied by the English scientist Robert Hooke around 1660 as a model for the orbital motion of planets. In 1673 Dutch scientist Christiaan Huygens calculated its period, using his new concept of centrifugal force in his book Horologium Oscillatorium. Later it was used as the timekeeping element in a few mechanical clocks and other clockwork timing devices.
In analysing the conical pendulum, it can be shown that the period is given by T=2pi.sqrt(L.cos(phi)/g) and that therefore, g = 4.pi^2.L.(cos(phi)/T^2).
L = pendulum length, phi is measured at the top of the pendulum (at the point of suspension).
Graphing cos(phi) vs T^2 should produce...
Consider a conical pendulum like that shown in the figure. A ball of mass, m, attached to a string of length, L, is rotating in a circle of radius, r, with angular velocity, ω. The faster we spin the ball (i.e., the greater the ω), the greater the angle, θ, will be, and thus, the smaller the...
The diagram for the problem is shown alongside. In the vertical (##\hat z##) direction we have ##T \cos \theta = mg##.
In the plane of the pendulum, if we take the pendulum bob at the left extreme end as shown in the diagram, we have ##T \sin \theta = \frac{mv^2}{r}## (the ##\hat x## axis of...
Here is a picture of the problem.
I have chosen the origin to lie in the middle of the circle around which the mass moves. I have also chosen the z axis to pass through the origin and through the vertex of the right circular cone. The x-axis and y-axis are so that one when curls his or her...
So I'm doing a lab in class, and when I graphed the Period vs Length of the string, I got it in the form $T=A\sqrt{L}$, but I don't really know what the value $A$ represents nor what its unit is... Can someone help me?
Homework Statement
A pendulum of length l at the north pole is moving in a circle to the east at an angle \theta to the vertical. It has some period T_E as measured in the rotating Earth frame. The experiment is then repeated except now the pendulum is moving to the west with period T_W...
Homework Statement
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find the period with only using L (for the long of the rope), R (for the radius), M (for the mass), and G (for the gravity)
Homework Equations
V=ωR
Fcentripetal = ##\frac {MV^2} {R}##
Fgravity = MG
phytagoras
basic trigonometry
The Attempt at a Solution
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i have...
Homework Statement
Mass ##M## hangs from a string of length ##l## which is attached to a rod rotating at constant angular frequency ##\omega##. The mass moves with a steady speed in a circular path of constant radius. Find ##\alpha##, the angle the string makes with the vertical.
Homework...
Homework Statement
A conical Pendulum, a uniform, thin rod of mass m and length l, rotates about a vertical axis with angular velocity omega. Find the angle between the vertical and the rod.
Homework EquationsThe Attempt at a Solution
I know the usual approach to solve this question, write the...
Homework Statement
A model airplane has a small gas powered motor in it to allow it to fly. It is tethered its controller by a long
cord. The plane will fly in a circle at the end of this cord around the controller who uses the tether to control
the altitude of flight of the plane. Currently...
Hello. In class today, we studied conical pendulum but I was confused at the part about its components. In all the diagrams ( http://dev.physicslab.org/img/90c0fb7a-ffb4-4573-b389-b50a559732c8.gif ) if shows The x-component as being sine, but I always thought x-comp was cos?? (...
The sistem above is the one I'm interested in. There is two equally charged spheres spinning on a plane. The line has L=\sqrt{2} m and the spheres weight 0.6Kg. The angular speed is \omega = 2rad/s.
The radius for the circular trajectory is R=1m and so the centripetal force is...
Homework Statement
I'm doing an EPI on horizontal circular motion and for one test the independent variable is mass and I need to control the velocity by using the 2πr/T formula. So I know how to use the forumula to find an unknown but how do I use it for two unknowns (r and T). Is there a...
In the book "Introduction to Mechanics" by K&K, in the section on conical pendulums, the net force in the ##\hat{k}## direction is set to zero, since the ##z##-coordinate of the particle doesn't change. However, later on the effect of changing ##\omega## on ##\alpha## (the angle the rod makes...
Homework Statement
A small ball of mass m suspended from a ceiling at a point O by a thread of length l moves along a horizontal circle with constant angular velocity ##\omega##. Find the magnitude of increment of the vector of the ball's angular momentum relative to point O picked up during...
Homework Statement
A conical pendulum with an unelastic tether has a mass of 4.25 kg attached to it. The tether is 2.78 m. The mass travels around the center every 3.22 seconds.
What angle does the rope make in relation to its original position?
m=4.25 kg
T=3.22 s
L=2.78 m
Homework Equations...
Homework Statement
Finding the time period of a conical pendulum by D'Alembert's principle. The string is of a constant length and all dissipations are to be ignored.
Homework Equations
The time period of a conical pendulum is 2\pi \sqrt{\frac{r}{g\tan\theta}}. I need to arrive at this result...
Homework Statement
Assuming we know the length of the string L, radius of the swept out circle r, angle formed by string and centre of circle, \theta, and angle the swept out circle is to the horizontal, \alpha, what is the speed, v, of the mass if it is constant?
picture...
Homework Statement
Hey, thanks for taking a look at this.
"The figure below shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass m...
A mass of 80g is moving in a horizontal circle supported by a string 1.2m long suspended from a fixed point in the centre of the circle. The mass completes each revolution in 0.85s. Calculate the tension in the string.
Relevant equations: I'm not entirely sure, but these were the ones I...
This, is just a concept question:
My teacher gave the Answer has something like this:
However I understand most of it, except the part where it says:
What is happening in this? Where does the 4*pi^2*L*sin(theta) come from, and how is v found? why is f = 1/t?
Homework Statement
A particle of mass 15g is attached to the end of a string of length 50cm, rotating at 6rads-1 to form a conical pendulum.
Find a) The tension in the string
Find b) The angle
2. The attempt at a solution
Okay I get that Tcosθ= mg
& TSinθ=...
Homework Statement
A metal sphere is attached to the end of a string and then set in motion such that it rotates in a horizontal circle as shown in the sketch. The metal sphere has a mass of 0.5kg and the radius of the circle is .2m.
1)Find the tension in the string
2)Calculate the radial...
Homework Statement
By resolving forces horizontally and vertically and using Newton's second Law, find an expression for the angle swung out of a Chair-o-plane ride.
Im just not really sure how to resolve the forces vertically and horizontally.
Homework Equations
So far I know that...
Conical pendulum question help!?
Homework Statement
By resolving forces horizontally and vertically and using Newtons second law, find an expression for the angle swung out. You must use calculus where needed. Use this analysis to answer questions 1-3
Q1: Will a child swing at a greater...
Homework Statement
A particle of mass 6 kg is attached to the centre B of a light inextensible string
of length 10m. One end of the string is attached to a point A and the other
end to a point C which is distance 8m directly below A. The particle is moving
in a horizontal circle, with both...
Homework Statement
A pendulum consists of a particle of mass m at the end of a light rigid rod of
length l, the other end of the rod being freely attached to a stationary point
0. Let e(t) be a unit vector pointing along the rod, so that the position
vector relative to 0 of the...
3.(a) A particle P, of mass 0.03kg, is attached to one end of a light inextensible string OP, of length 1 m. The other end of the string is attached to a fixed point O. The particle moves in a horizontal circle, with centre vertically below O, at an angular speed of 2 revolutions per second. The...
Homework Statement
The pendulum bob in Figure 6.11 must circle
the rod interrupting its swing, and the string
must remain taut at the top of the swing. How
far up must the bob be raised before releasing
it to accomplish these goals?
Homework Equations
Potential Energy = mgh
Kinetic...
Homework Statement
A ball (mass m = 250 g) on the end of an ideal string is moving in circular motion as a conical pendulum as in the figure. The length L of the string is 1.85 m and the angle with the vertical is 37°.
What is the magnitude of the torque exerted on the ball about the...
A ball, B, of mass 2kg is attached to one end of a light, inextensible string. The string passes through a smooth, fixed ring, O, and a second Ball, A, of mass 4 kg, is attached to the other end. B is made to move as a conical pendulum while A hangs vertically below the ring. If the speed of B...
Homework Statement
Fig. 6-53 shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.012 kg, the string has length L = 0.86 m and...
Homework Statement
A conical pendulum is formed by attaching a 0.900 kg ball to a 1.00 m long string, then allowing the mass to move in a horizontal circle of radius 20.0 cm . What is the ball's angular velocity, in rpm?
Homework Equations
v=\sqrt{}L*g*sin(\vartheta)*tan(\vartheta)...
Homework Statement
This setup of a conical pendulum is actually at the end of crane which is rotating, however I do not think that this should effect the situation:
I need to calculate the radius so that I can then add this to the radius of the crane which will give my actual required...
1.The string of a conical pendulum is 1m long and the bob has mass 100g. It rotates at 0.5 revolutions per second.
a) Find the angle that the string makes to the vertical.
b) Find the tension in the string
c) If the maximum tension which the string can bear is 2N, what is the maximum rate...
Homework Statement
Q1. I am currently doing a physics assignment where i must answer some concept questions about a conical pendulum. So here they are:
Does the centripetal acceleration and/or the net force alter if the launch angle changes?
Q2. Would the centripetal acceleration and/or...
Homework Statement
Hey, we have this mechanical bat that is attached to a cord and its flying around in a circle on the ceiling. Here is all the information that I have gathered.
Mass of the bat: 0.1345 kg
1.609 seconds per revolution
length of cord: 0.92 m
height from ceiling: 0.65...
Homework Statement
A particle of mass m is tied to the middle of a light, inextensible string of length 2L. One end of the string is fixed to the top of a smooth vertical pole. The other end is attached to a ring of mass m, which is free to slide up and down the pole. The particle moves in a...
Homework Statement
A .30kg ball is swung in a conical pendulum whose length is 95cm. If the string makes an angle of 22 degrees with the vertical, what are (a) the balls speed and (b) the tension in the string
Homework Equations
The Attempt at a Solution
I drew a freebody...
http://img25.imageshack.us/my.php?image=77494342.jpg
I can do the first part, however am unsure of how to deduce the motion cannot take place unless the inequality is satisfied. Can someone please explain this part?
Thanks
Homework Statement
okay here is the problem: A conical pendulum is formed by attaching a 500g ball to a 1.0m long string, then allowing the mass to move in a horizontal circle of radius 20cm. What is the tension in the string?
Homework Equations
My professor gave a hint that said use the...
Homework Statement
A conical pendulum is formed by attaching a 0.900 kg ball to a 1.00 m-long string, then allowing the mass to move in a horizontal circle of radius 10.0 cm. The figure (Intro 1 figure) shows that the string traces out the surface of a cone, hence the name. (Figure Attached)...
Conical Pendulum--- did I do this right?
Homework Statement
A ball is attached to a string with length of L. It swings in a horizontal circle, with a constant speed. The string makes an angle (theta) with the vertical, and T is the magnitude of the tension in the string.
1)Determine the...
It's not a problem, it's a proof. The trouble being that I'm not entirely sure what I'm supposed to be proving, which is why I'm getting so confused. Our instructor told us to verify F=ma using the equations that we got from a conical pendulum lab. When further prompted, he said to divide them...
Homework Statement
A particle is suspended from a fixed point by a light inextensible string of length a. Investigate 'conical motions' of this pendulum in which a string maintains a constant angle \thetawith the downward vertical. Show that , for any acute angle theta
ex], a conical...
I have a question about the flying pig.
A flying pig is just a toy pig with wings that is hung from the ceiling with a string. When you turn it on, it flies in a circle and shows concepts of conical pendulum.
But it only flies in one direction. If you push the pigs in the opposite direction...
When you hang a pendulum from the ceiling and spin it, (conical pendulum) why does it only spin in one direction? What's the physics behind the motion and the forces of it that makes it spin in only one direction?
Homework Statement
Consider a conical pendulum with a 81.0 kg bob on a 10.0 m wire making an angle of theta= 2.00° with the vertical.
(a) Determine the horizontal and vertical components of the force exerted by the wire on the pendulum.
(b) What is the radial acceleration of the bob...