Describe a simple way to force a particle to move along two different circular trajectories at the same time. (Two circles that are not concentric) Hint: The trajectories do not have to be measured from the same frame of reference.
It need not be an elementary particle (could be even a small ball)
Homework Statement
17. A 100 g bead is free to slide along an 80 cm long piece
of string ABC. The ends of the string are attached to a
vertical pole at A and C, which are 40 cm apart. When
the pole is rotated about its axis, AB becomes
horizontal.
a. Find the tension in the string.
b...
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
1. A ball is tied to a string then moved so that its trajectory is vertical circle. If the mass of the ball is 500 g, the speed is 2 m/s, and the length of string is 50 cm, find the tension when it is at the top of the trajectory
2. A mass m is tied to a string and moved so...
Q: "If a curve with a radius of 85m is properly banked for a car traveling 65km/h, what must be the coefficient of static friction for a car not to skid when traveling at 95km/h?"
[PLAIN]http://a4.sphotos.ak.fbcdn.net/hphotos-ak-ash4/215513_1974874979462_1470693940_32310002_1293630_n.jpg...
Hi,
So I was reading that no work is done by the centripetal force during uniform circular motion because the force is at 90 degrees to the displacement.
I am having a hard time getting my mind around it because isn't velocity that is a tangent to the circle, and therefore, at 90 degrees...
Hi,
Points P and Q are at distances R and 2R respectively from the centre X of a disc
The disc is rotating about an axis through X, normal to the plane of the disc. Point P has linear speed v and centripetal acceleration a. Which one of the following is correct for point Q?
Linear Speed...
Homework Statement
A 20.00kg lead sphere is hanging from a hook by a thin wire 3.50m long, and is free to swing in a complete circle. Suddenly it is struck horizontally by a 5.00kg dart that embeds itself in the lead sphere. What must be the minimum initial speed of the dart so that the...
Homework Statement
The passengers in a roller coaster car feel 50% havier than their true weight as the car goes through a dip with a 30 m radius of curvature. What is the cars speed at the bottom of the dip?
Homework Equations
...
The Attempt at a Solution
I understand that there...
Homework Statement
A man of 80.0 kg is standing in the cabin of a Ferris wheel of radius 30.0 m rotating at 1.0 rpm. What are the forces that the feet of the man exert on the floor of the cabin when he reaches the highest point and the lowest point?
Homework Equations
Newton's Second...
The problem is like this: It's a beautiful spring day so you decide to take a cruise in your fancy new 1200 kg convertible. While driving, you notice a sign that says "Warning! Flat level curve with radius 45m. Coefficient of static friction for all tires us = 0.50'' With your knowledge of...
Homework Statement
A bead threaded on a frictionless vertical wire hoop of radius R. The hoop rotates about a vertical axis through its center. Period of revolution of the hoop is T. The bead has a mass m. Find the normal force N exerted on the bead by the wire.Homework Equations
Fc=mv^2/r The...
ID MOtion
two bodies seprated by A distance a then one body starts moving with a velocity v in the direction prependicular to A then the other body starts moving in order to catch the other one at the same time with constant velocity v and catches the other boy in a time t where t is...
Circular Motion Clarification--Centrifugal Force
At most amusement parks, there is a ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders "plastered" against the wall.
What is causing the rider to be pushed against the wall? Is it the fictitious...
Homework Statement
a stone is projected at an angle with the horizontal with velocity u. it executes a nearly circular motion near its maximum height for a short time. the radius of circular path is
??`
Homework Equations
answer is u2 sin2x/g[b]3. The Attempt at a Solution
why isn't it is...
Hello,
I am currently studying circular motion, and I would like to know if the statements I have made below are correct.
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The centripetal force is the sum of all...
During pilot or astronaut training, candidates are rotated around a 10.0m radius and experience a force of eight times their weight (8.0 g’s). At what speed are the trainees rotated?
It was explained to me that the centripetal force (Fc) was equal to the force of gravity (Fg). Why are the...
Hey Guys. I am having issues with one of my physics homework questions, and i was seeking help. The question is as follows:
While traveling around a roundabout, John notices that the fluffy dice suspended from his rear-vision mirror swing out. If John is traveling at 8m/s and the roundabout...
Homework Statement
A carnival ride has a large horizontal steel disc of radius 5.0 m from which cars are suspended by
6.0 m long chains. The disc is rotated about its axis so that the cars swing out and revolve in a
circular path. At its operating speed, the angle of the chains to the...
Hello,
I am currently studying circular motion. I came across something in my textbook that I would like some helP with.
It says:"if the wheels and tires of a car are rolling normally without slipping or sliding, the bottom of the tire is at rest against the road at each instant; so the...
Can someone tell me how I am plugging this in wrong? And am I using the right equations? Thanks!
Homework Statement
A pilot is flying a vertical loop of radius 290 m, and at the top of the loop is pushing against the seat with a force of .25 "g's" {or Normal force = .25mg}. What is the...
Can someone look at this and tell me what I'm doing wrong? Thanks!
Homework Statement
You place a penny on a level rotating wheel at a point 5.00 cm from the center of rotation. You increase the speed of rotation gradually, and once you reach a rotational speed of 0.825 revolutions each...
Hey can someone help me with this question? Thanks
Homework Statement
Goferd is getting buff by swinging a 25.0 kg ball in a near - horizontal arc. If the length of the rope that is attached to the ball is 2.00 m, and Goferd maintains a constant tension of 100. N in that rope, how many rpm...
Homework Statement
A stone was thrown horizontally with velocity 10 m/s. Find the radius of curvature of the stone trajectory 3 seconds after it was thrown.
Homework Equations
v2=vx2+vy2
an=(v2)/R
The Attempt at a Solution
vx=10m/s
vy0=0m/s
vy=vy0+gt=(9.8)(3)=29.4...
Homework Statement
A small container of water is placed on a carousel inside a
microwave oven, at a radius of 12.0 cm from the center.
The turntable rotates steadily, turning through one revolu-
tion in each 7.25 s. What angle does the water surface
make with the...
Homework Statement
In the figure, a stunt car driver negotiates the frictionless track shown in such a way that the car is barely on the track at the top of the loop. The radius of the track is 9.9 m and the mass of the car is 1800 kg. Find the force of the car on the track when the car is at...
Homework Statement
A pilot flies an airplane in a vertical circular loop with a radius of R = 1200 m. The plane is gaining speed as the pilot makes a dive, and its speed is measured to be 150 m/s when the plane reaches the bottom of the circle. If the total acceleration of the plane at the...
1. a 2.00-kg stone attached to a rope 4m long is whirled in a circle horizontally on a frictionaless surface, completing 5 revolutions in 2s. calculate the magnitude of tension in the rope
2. delta t = 2pie root square l cost theta/g or f= 1/2pie root square g/ l cos theta
3. is...
circular motion problem??
hey all, i have to talke app maths for a semester and it was all fine until we got to modeling, now haven't a clue? can anyone help with this please?
a ball rolls under gravity inside a smooth bowl with circular cross section and inner radius"a". show that the ball...
Homework Statement
A highway curve of radius 420m is designed for traffic moving at a speed of 73.0 km/hr .
What is the correct banking angle of the road?Homework Equations
V=(2(pi)(r)/T)
a=(v^2)/rThe Attempt at a Solution
I feel like this is an easy question but for some reason I can't get...
Homework Statement
a gymnast of mass 75kg swinging from at a point p on a light rope to point Q. the circular arc through his centre of mass has radious of 10m
calculate:
speed at Q
angular velocity at Q
tension of string at point Q
Homework Equations
centripetal force
f=ma, f=m...
Circular motion...
Homework Statement
If a wire has some length and a any random abject is attached to it and we whirl it around in a cirle...this object has finite(non negligible dimentions)...Lets say we know the distance of the point of suspension from the centre of mass of this body(let...
Homework Statement
A supersonic plane with a speed of 2340 km/hr takes a 45 degree turn flying in a horizontal circle at a banking angle of 65 degrees. What is the time required to complete a turn under these conditions?
The Attempt at a Solution
my teacher hasnt even tought us how...
Homework Statement
How fast must a plane fly at a latitude of 40.1° so that the sun stands still relative to the passengers?
Note: I am using Randall D. Knight's Physics for Scientists and Engineers 2nd edition because that is the required book for this course. I am told to use the radius...
Homework Statement
Show that Total energy of this system is given by E=(-432(r^5)(pi^4))/(G*T^4)
http://img189.imageshack.us/img189/7325/38899527.png Homework Equations
F=GMm/r^2
F=mv^2/r
T=2(pi)r/VThe Attempt at a Solution
[PLAIN][PLAIN]http://img97.imageshack.us/img97/7766/27047783.png
1.Traffic travels north on Newton blvd and turns east onto the road einstein way. The speed of the traffic traveling north and east is 55 mph (24.6m/s). The banked turn must fit within an area (shown in the picture attached). The illustration is not drawn to scale.
You are to design an exit...
URGENT: circular motion qs
Homework Statement
1. A 0.20g flea sits at a distance of 5.0cm from the centre of a rotating record.
a) If the record rotates at 77rpm, what is the centripetal force.
b) For the flea to remain at this spot, what must be its frictional force?
2. A pilot of...
Circular motion...angular velocity...
Homework Statement
This is a general question i have...Lets say a particle is moving in a plane (in any arbitrary way may or maynot be following any equation)...Now we are told to find the angular velocity of the particle with respect to a reference point...
Hi, I remember reading that no work is done on an object in a circular orbit experiencing a centripetal force. However, what if that object experiences an external centripetal force greater than that which keeps its orbit in a radius r. That would cause the object to orbit with a smaller...
Problem:
A 78.5kg man is about tocompletea bungee jump. If the bungee cord has a spring constant of 150 N/m, determine the period of oscillation that we will experience.
m= 78.5 Kg
k= 150 N/m
T=?
Relevant equations:
T= 2(pi)√(m/k)
The attempt at a solution
T= 2(pi)√(78.5kg/150...
1. In an amusement park ride, passengers stand inside an 8 m radius cylinder. Initially, the cylinder rotates with its axis oriented along the vertical. After the cylinder has acquired sufficient speed, it tilts into a vertical plane, that is, the axis tilts into the horizontal, as shown in the...
Circular Motion and Universal Law of Gravitation Homework help!
Homework Statement
The passengers in a roller coaster car feel twice as heavy as their true weight as the car goes through a dip with a 30 m radius of curvature. What is the car's speed at the bottom of this dip?
Given: r =...
Homework Statement
1. A typical white dwarf star, which once was an average star like our Sun but now in the last stage of its evolution, is the size of our Moon but has the mass of our Sun. What is the surface acceleration due to gravity on this star? (Msun = 1.99 x 10^30 kg, Rmoon = 1.74 x...
Homework Statement
The Attempt at a Solution
I'm going to post all that I figured out or tried. Most of it is really just pieces of information that I don't know how to put together.
The frame is accelerating, so I have to apply a pseudo-force of \frac{3mg}{2} on B and C in the...
Homework Statement
(a) A luggage carousel at an airport has the form of a section of a large cone, steadily rotating about its vertical axis. Its metallic surface slopes downward toward the outside, making an angle of 18.0° with the horizontal. A piece of luggage having mass 30.0 kg is placed...
Homework Statement
How long would the day have to be in order that for a person standing at the equator of the Earth would see a bathroom scale that she is standing on read zero?
This is all the info that is given.
Homework Equations
Fc=m(v^2)/r
The Attempt at a Solution
I setup my...
Just wondering if anyone can check over my answer for a question.
Q) A 1.7kg object is swung on the end of a 0.6m string in a vertical circle. The object does one revolution every 1.1s. What is the tension in the string at the top of the circle? and the bottom?
A) m=1.79kg r=0.6m...
Hello >:D
Homework Statement
<Q>A rod of length L is pivoted at one end and is rotated with a uniform angular velocity in a horizontal plane. Let T1 and T2 be the tensions at the points L/4 and 3L/4 away from the pivoted ends respectively.
<a> T1>T2 <b> T1<T2 <c> T1=T2 <d> The relation...
According to my book, in centripetal acceleration, the direction of the velocity is the same as the acceleration, which points towards the center. There is a picture of a velocity vector pointing out of the circle, and then another point with a second vector pointing out, and the resultant in a...
Homework Statement
A person is twirling a .7 kg mass over their head. The mass is attached to a string that is 1.5 m long. The mass spins in a HORIZONTAL circle. The string makes a 60 degree angle. Calculate the velocity of the mass, and then the period, that is necessary in order to make...