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.
Homework Statement
Conical Pendulum Question
Mass (m) is attached to the ceiling by a String of Length (s)
The string makes an angle of (\theta) with the vertical
Compute the Period of Revolution and the Tension in the string?
Mass of Bob (m) -- 4.35kg
Length of String (s) -- 5.50 meters...
Homework Statement
Consider a conical pendulum with a 78.0 kg bob on a 10.0 m wire making an angle of θ = 5.00° with the vertical. (Consider positive i to be towards the center of the circular path.)
(a) Determine the horizontal and vertical components of the force exerted by the wire on...
A 3.46 kg block located on a horizontal floor is pulled by a cord that exerts a force F = 13.9 N at an angle theta = 26.0° above the horizontal, as shown in the Figure. The coefficient of kinetic friction between the block and the floor is 0.09. What is the speed of the block 3.5 s after it...
i was solving thsi problem
and attempted it in this manner
consider a length dx of the rod at a distance x from the pivot now
let \theta be the required angle
dx\cos\theta = dm g
dx\sin\theta = m\omega^{2}x\sin\theta
dividing we get \tan\theta = \frac {\omega^{2}x\sin\theta}{g} which is...
Homework Statement
A small metallic bob is suspended from the ceiling by a thread of negligible mass. The ball is then set in motion in a horizontal circle so that the thread describes a cone.
Given: Length of string = 2.8m
Angle between string and vertical: 21 degrees...
Homework Statement
Consider 2 conical pendulums. The first one has mass M and length L and the second has mass 4M and Length 4L. For both parts the angle theta is 33 degrees. The ratio of the tangential speeds of the two circular motions V2/V1 is?
Homework Equations
I know that...
1. The string of a conical pendulum is 1m long. An initial speed of 3m/s causes the bob to describe a horizontal circle. Find the inclination of the string to the vertical and the time of revolution.
The answers at the back give 50.1 and 1.6s
I'm trying to find the angle that the string makes...
The Conical Pendulum
A small object of mass m is suspended from a string of length L = 1.8 m. The object revolves in a horizontal circle of radius r with constant speed v and angle = 28°
Find the speed of the object.
i found s=v=2.098.
Find the period of revolution, defined as the...
Homework Statement
A mass m= 4.7 kg is suspended from a string of length L=1.19m. It revolves in a horizontal circle. The tangential speed of the mass is 2.97 m/s. What is the angle between the string and the vertical (in degree.)
Homework Equations
r= Lsin(theta)
Tension is broken up...
I tried to do this pendulum problem with force analysis, but I kept getting a wrong answer. Eventually I figured it out using torque, but I still have no clue why I was getting a wrong answer when I try to use f=ma. Any help appreciated!
Homework Statement
A conical pendulum, a thin uniform...
Hello,
I wanted to make sure that I am solving this problem in the correct manner, because one of my answers seems a little off from the book's.
"Consider a conical pendulum with an 80.0-kg bob on a 10.0-m wire making an angle of 5.00(degrees) with the veritcal. Determine (a) the horizontal...
i know this isn't exactly homework, but i couldn't find anywhere else to put it!
we've been doing s.h.m. in physics, and when we considered a simple pendulum my teacher mentioned that you can also have a conical pendulum, but the maths for it is more complicated. i want to know more about this...
Hello all , I encouter a problem solving this one :
We are given a conical pendulum with : V - tan. speed of particle
m - mass of rotating particle
g - gravity acceleration...
Hello.
I am having trouble understand the varying mass's effect on the period of a conical pendulum. Well, I understand that there is no effect. However, I am having trouble verifying that in a centripetal force equation for circular motion. Most generally, conical pendulum's centripetal...