Vertical Definition and 1000 Threads

Why does the vertical line test work? If the line hits the graph more than once, it is said to not be a function. But why?

Homework Statement Find the volume of the solid obtained by rotating the region under the graph of y=1/x and y=1/x^2 about the vertical axis x=-1 Also given are points on the y-axis (0,2) and (0,5). I guessing these points are specific sections of the graphs where we find the volume...

Homework Statement A spring is standing upright on a table with its bottom end fastened to the table. A block is dropped from a height of 3.0 cm above the spring. The block sticks to the top end of the spring and then oscillates with an amplitude of 10 cm. What is the oscillation frequency...

Hi, If we have a vertical spring with a mass attached to it, how does the energy of the system work. Let's say we set the zero point as the point where the spring is unstretched (basically with no mass attached). Then at the top we have zero kinetic, zero spring potential as well as zero...

Homework Statement Show that, at the bottom of a vertical mine shaft dug to depth D, the measured value of g will be g = g_{s}\left(1-\frac{D}{R}\right)g_{s} being the surface value. Assume that the Earth is a uniform sphere of radius R. Homework Equations F = \frac{GMm}{r^{2}} V_{S} =...

Homework Statement Two masses, 1.5 KG and 3.0 KG, are tied together by a light string and looped over a frictionless pully. They are allowed to hang freely. Determine the magnitude of the acceleration for each mass. [Answer: 3.3 m/s2) Homework Equations Fnet = ma Fg = mg The...

I am going to test a full body harness. I need to know how far a 420 pound weight needs to drop to exert the same force as a 350 pound weight dropped 5 feet. Thank You Norm Wood

[SOLVED] Finding a Vertical Force given friction and a horizontal force Homework Statement Problem: A box with a weight of 50 N rests on a horizontal surface. A person pulls horizontally on it with a force of 10 N and it does not move. To start it moving, a second person pulls vertically...

I have to find the vertical displacement of a potato shot out of a potato launcher (Gr. 11 Physics assignment). It would make sense (and make this easier) to assume that the potato went straight up and down and I am allowed to assume that air resistance is negligible. My main problem is proving...

Homework Statement Calculate any or all of the following: horizontal velocity, initial vertical speed, angular launch speed, launch angle, and maximum height all for an object with a mass of 7.3g that is projected 24.5m. Homework Equations The Attempt at a Solution V=d/t...

I am a coach for athletes in various sports and have a problem that I can't figure out, but I'm hoping will be easy for someone here. I am looking to determine the height of a vertical jump from some limited information via an accelerometer. The accelerometer is attached near the center of...

An 5 kg block is fastened to the top of a vertical spring (perpendicular to the floor) with a spring constant of 1000 N/m. A 3 kg block sits on top of the 5 kg block. The springs are pushed down so that they oscillate. I need help finding the magnitude of the maximum acceleration the...

Supposedly taking off horizontally costs less and is more energy efficient than vertical takeoff. Aside from the issues of staging, and rocket vs. propeller, does anyone know why HTO is better than VTO?

A mass is attached to a spring supported from the ceiling of an elevator. We pull down on the mass and let it to vibrate. If the elevator starts to accelerate(fixed accelerate) upward, 1) How the maximum velocity changes? 2) How the amplitude changes? 3) How the total energy changes? I...

Homework Statement A mass m starts at rest on a frictionless track a distance H above the floor. It slides down to the floor-level where it encounters a loop of radius R. A) What is the minimum height H for which the object makes around the loop without losing contact with the track? B) What...

Hey guys. This might not be the right place for this, but any ideas on how I can use a vertical bar to represent evaluation in LaTeX? Example \displaystyle \frac{d}{dt} |_{t=0} f(t) I would like the vertical bar to be the size of the differential. I've tried using \left|, \right|...

Homework Statement A force of magnitude 39.5N stretches a vertical spring a distance 0.256m. a) What mass must be suspended from the spring so that the system will oscillate with a period of 1.10s? got 4.73kg b) If the amplitude of the motion is 5.00×10−2m and the period is that...

Homework Statement a particle P of mass m is projected vertically upwards with velocity U_0\mathbf{k} in a uniform gravitational field -g\mathbf{k} with air resistance proportional to the square of the velocity. This is a five part question for which I have found the solutions but there is one...

Homework Statement A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from yi and oscillates up and down, with its lowest...

Homework Statement A 70kg climber is suppored in a "chimney" by the friction forces exerted on his back and shoes. The coeffcients of static friction of his feet against the wall and his back against the wall are 0.8 and 0.6 respectively. What is the minimum normal force he needs to apply to...

Homework Statement A parachutist is falling vertically with a uniform speed of 12 m/s. At the instant he is 50m above the ground, he drops a coin. (Ignore Air Resistance) A) What is the seed with which the coin strikes the ground? b) How long does it take for the coin to reach the ground...

hey guys, i studied "applied maths" in "high school" [the irish version!] we studied projectile motion and velocity vectors etc, we worked on the premise that gravity affects only the verticle velocity of the projectile so that: for a projectile given an initial velcoity both horizontally...

I want to move 30lbs vertically on a platform. To do this I will have a rotating threaded rod driven by a motor. How much torque, hp, rpm do I need? I'm guessing the pitch of the threads will be important. As far as speed goes, I only want the platform to move about an inch in 1-2 seconds...

Homework Statement A kangaroo jumps to a vertical height of 2.8m. How long was it in the air before returning to Earth? Homework Equations delta y= Vot + 1/2at^2 The Attempt at a Solution I had to get t by itself so I rearranged the equation to say: t= delta y/.5(9.8) all under...

(I have already posted this problem in the physics help, but it is more math than physics, so I am also posting it here) For a physics experiment, we had to take a kong (dog toy with a rubber ball on the end of a rope), twirl it and then throw it as far as we could. We were told to record how...

[SOLVED] Vertical Circular Motion & Centripetal Acceleration Homework Statement 1) A car travels at a constant speed around a circular track whose radius is 2.1 km. The car goes once around the track in 410 s. What is the magnitude of the centripetal acceleration of the car? Homework...

Homework Statement A rigid uniform horizontal bar of mass m1 = 85.00 kg and length L = 5.300 m is supported by two vertical massless strings. String A is attached at a distance d = 1.500 m from the left end of the bar and is connected to the top plate. String B is attached to the left end of...

1. http://img214.imageshack.us/img214/2684/77965080tu2.jpg [/URL] I get (a) part but for the last part to find the vertical distances can someone explain what is done here. This is the solution let h be the vertical distance h = y + xtan30 h= vot tan30 - 1/2gt^2 then they...

... so that there are no seasons and it's spring forever? It would make many species go extinct. But is it possibly a good thing in the longer term? Imagine it's summer forever, like in Equador. Or spring forever, like in a flower conservatory. Is there anything wrong with this...

Hello everyone, I've used these forums quite a bit and found it very helpful thanks for all you kind souls helping us through the sciences, but today is my first post :P I am deriving the velocity of a projectile fired vertically through a retarding force and I continue getting every step the...

Homework Statement A 7400 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.15 m/s^2 and feels no appreciable air resistance. When it has reached a height of 560 m, its engines suddenly fail so that the only force acting on it is now gravity. a...

[SOLVED] Vertical circular motion help! Homework Statement A 17.4 g steel marble is spun so that it rolls at 171.0 rpm around the inside of a vertically oriented steel tube. The tube, shown below, is 13.0 cm in diameter. Assume that the rolling resistance is small enough for the marble to...

I want to know where to look for information relating to toppling. I have looked at stability of equilibrium but the real question is: If say for arguments sake, there is a column 2m high and 1/4m wide - it would be easy, if we knew the weight of the column, to establish the force required...

vertical and horizontal asymptotes of the curve of f(x) = (x^2+x-6)/(9-x^2 ) are respectively : a) x=3,x=-3,y=-1 b)x=3,y=-1 c)x=3,y=1 d)x=-3,y=-1 i did the infinit limit to find the horizontal asymptote and i got -1 then to solve the vertical; 9-x^2 = 0 and...

Hi all, I'm wondering why we see those horizontal and vertical stripes of lights when looking at a light source (see e.g. http://apod.nasa.gov/apod/image/0601/pleiades_gendler_big.jpg" ). Why are these lines of light present in the first place and why are they only horizontal and vertical in...

HI I have to create a... tutorial.. for fackulty... the deadline is till tuesday... I try to find infos over the internet but .. i didnt find anything that could help.. I wonder if someone can help me.. The Topic is VERTICAL KINEMATICS... any info.. about this would be could,..

OK here goes... I have a 20kg weight attached to a 10 meter long wire rope. The rope is fixed vertically to a cross beam. The rope has an elastic stretch limit of 47.5 kN/mm^2. If I lift the 20kg weight up 1 meter and then let it go what would the maximum force exerted by weight be on the...

Homework Statement A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of static friction between the ladder and the floor is the same as that between the ladder and the wall. If this coefficient of static friction is μs = 0.500, determine the smallest...

I have encountered some problems with this exercise: A ladder is leaning against a wall, it will slide due to its weight down the wall and along the floor. I am supposed to determine the time at which the ladder looses contact with the wall, but how? :S

Homework Statement A small rock of mass m is kicked from the edge of a perfectly vertical cliff of height h, giving it an initial velocity ~vo that’s purely horizontal. The rock lands at a distance d away from the bottom of the cliff. The ground there is assumed horizontal and we neglect air...

Homework Statement A door with weight Mg has a horizontal width W and a vertical length L. There are two hinges that hold up the door along the right side of the door. The top hinge is a distance d from the top of the door and the bottom hinge is a distance d from the bottom of the door...

I am having some difficulty in understanding vertical circular motion. As I understand it, the only time the object (lets say an aeroplane flying in a vertical circle) is in uniform circular motion is at the top and the bottom of the circular path. So if you want to find the net force on...

Question: An electron with a velocity of 3.00x10^6m/s[horizontally] passes through two horizontal parallel plates, as in the attached diagram. The magnitude of the electric field between the plates is 120N/C. The plates are 4.0cm across. Edge effects are negligible. a) Calculate the vertical...

Homework Statement http://img256.imageshack.us/img256/5530/hwimgxd3.gif A particle of mass 0.450 kg is shot from P. The particle has an initial velocity V_0 with a horizontal component of 30.0 m/s. The particle rises to a maximum height of h = 21.0 m above P. Assume that h2 = 62.0 m...

Thanks in advance for reading this thread. Here goes the question; Q: A firefighter climbs up a 10.0m ladder leaning against a vertical wall. The ladder makes an angle of 25.0 degrees with the wall. The firefighter reaches the roof in 15.0s a) What is the height of the wall? 9.10m b)...

Alright, I know how to find the horizontal asymptotes but the vertical asymptotes? I tried dividing the polynomials but maybe I am not doing it correctly because I cannot get a normal answer... and I am unsure how to factor the denominator.

Homework Statement A 315.0 g block is dropped onto a vertical spring with a spring constant k = 262.0 N/m. The block becomes attached to the spring, and the spring compresses 0.12 m before momentarily stopping. While the spring is being compressed, what work is done by the block's weight...

Homework Statement A bucket of mass 1.60 kg is whirled in a vertical circle of radius 1.00 m. At the lowest point of its motion the tension in the rope supporting the bucket is 25.0 N. (a) Find the speed of the bucket. (b) How fast must the bucket move at the top of the circle so that the...

Now I am learning Uniform Circular motion, but I don't know what do horizontal circle and vertical circle mean? I think they must be very different in solving problems. Hope you can tell me, thank you.

In the movie Vertical Limit *spoiler alert* a girl gets her finger crooked and she tells the guy she's a nurse and he has to straighten it. How much time do you have to straighten a crooked finger/whatever before it sets like that and they have to lose the finger or something and also...