What is Vertical: Definition and 1000 Discussions

The shear modulus of aluminum is 2.4 × 1010 N/m2. An aluminum nail of radius 7.5 × 10–4 m projects 0.035 m horizontally outward from a wall. A man hangs a wet raincoat of weight 25.5 N from the end of the nail. Assuming the wall holds its end of the nail, what is the vertical deflection of...

Homework Statement I need to solve \int_L \bar{z}-1 where L is the line from 1 to 1+2i. Homework Equations The Attempt at a Solution I know that I need to set z equal to the equation of the line and then integrate, but in this case I'm not sure how to express the equation of...

Homework Statement An object of 6.0kg is whirled round in a vertical circle of radius 2.0m with a speed of 8.0m/s. If the string breaks when the tension in it exceeds 360N, calculate the maximum speed of rotation, and state where the object will be when the string breaks. Homework Equations...

Homework Statement An object of mass m=200g slides down a frictionless ramp from a height H= 60 cm. Near the bottom of the ramp, the path changes into an arc of a circle with radius r= 20 cm. The arc has coefficient of kinetic friction μk=0.4. The angle θ=120° and points P1 and P2 which are the...

Homework Statement A liquid is flowing through a horizontal pipe whose radius is 0.02m. The pipe bends staight upward through a height of 10.0m and joins another horizontal pipe whose radius is 0.04m. Homework Equations what volume flow rate will keep the pressures in the two horinontal...

I am a little confused about a histogram of force measurements. I was asked for my physics lab to state what the vertical axis and horizontal axis represent for a histogram of force measurements? the physics lab consists of pulling a wooden block with a force sensor to record the tension...

Homework Statement In a cathode ray tube (CRT) used in older television sets and oscilloscopes, a beam of electrons is steered to different placed on a phosphor screen, which glows at locations hit by electrons. The CRT is evacuated, so there are few gas molecules present for the electrons to...

Homework Statement At x=3 does the function y=x^3 + (x-3)^(1/3) have a vertical tangent, cusp, corner or none? The Attempt at a Solution I took the derivative y'=3x^2 + 1 / 3x^(2/3) then i replaced 3 in which gave 27 + 1 / 0 I don't understand how to come to the correct...

Piecewise continuous --> NO vertical asymptotes Why is it impossible for a piecewise continuous function to have vertical asymptotes, per this website: http://www.mathwords.com/p/piecewise_continuous_function.htm?

18. An elevator that weighs 3.5 x 103 N is accelerated upward at 1.0 m/s2. What force does the cable exert to give it this acceleration? A. 357 N B. 0 N C. 3500 N D. 3857 N (For this quesion I was really confused and I guessed that the force of tension in the cable was what the cable...

Homework Statement A ball is thrown straight up from the edge of the roof of a building. A second ball is dropped from the roof a time of 1.14 s later. You may ignore air resistance. A.) If the height of the building is 20.6 m, what must the initial speed be of the first ball if both are...

I'm having trouble selecting a suitable motor to lift a single leaf 1000kg door. To cut down on power costs i plan to use perfectly (or as close as i can get) balanced counterweights. The door is to be lifted 4m vertically using wire rope hung over two sheaves connected to the respective...

Homework Statement Santa is in trouble. His reindeer just made a rough crosswind landing on the snow covered apex of this gingerbread house. Upon impact the hitch breaks free and the reindeer shoot skyward leaving Santa teetering on the very peak. As he slightly shifts the sleigh tilts...

Homework Statement Studying the mirage, we can assume that the index of refraction depends only on the vertical coordinate z. A ray of light starts from {0,0} with angle \beta\leq30. It's trajectory fits on an ellipse with major axis a and minor axis b. a) Give n(z)=? b) What is the trajectory...

Homework Statement An object of mass m is attached to a light rod of length r which is driven by a motor at a steady rate. The object performs uniform vertical circular motion. Centripetal force is provided by tension and weight. Draw the net force acting on the mass when the mass is at a...

Homework Statement Given a Ferris wheel that rotates 5 times each minute and has a diameter of 19 m, with the acceleration of gravity as 9.8 m/s^2, what is the centripetal acceleration of a rider? Answer in units of m/s^2. (There's a diagram that shows a ferris wheel with radius 9.5 m spinning...

Homework Statement A swimming pool has the dimensions 24 m multiplied by 9.0 m multiplied by 2.5 m. (a) When it is filled with water, what is the force (resulting from the water alone) on the bottom, on the short sides, and on the long sides? Homework Equations F = P*A P =...

1. A giant wheel, 40 meters in diameter, is fitted with a cage and platform on which a man can stand. The wheel rotates at such a speed that when the cage is at the top of the wheel, then the force exerted by the man on the platform is equal to his weight. The speed of the man is: 2. T + mg...

Homework Statement mass1 = 10kg connected to ceiling by a spring mass2 = 2kg connected to mass1 by a spring 2m/s is applied to mass 1 in the downward direction (positive direction) to get the system in motion At equilibrium Mass 1 is 2m from the ceiling while mass 2 is 4m from the...

Homework Statement A Saturn V rocket has a mass of 2.75x10^6 Kg and exerts a force of 3.3x10^6N on the gases it expels. determine the initial vertical acceleration of the rocket. 2. The attempt at a solution heres my attempt... F=3.3x10^6N Fg= M=2.75x10^6 Fnet-MA F-Fg=ma F-mg=ma...

two "vertical" stabilizers on the F-22 Raptor angled Why are the two "vertical" stabilizers on the F-22 Raptor angled sort of like a V-Tail as opposed to being completely vertical?

Mass on vertical spring with force applied. dy/dt = v dv/dt = 5sin(wt) - 16y I am trying to figure out the velocity of this object at any given time when w= 2 rad/ sec. (Would ideally like to have it for any w and any t) Did I do this correctly? (In calc 2, haven't had diff eq yet)...

I'm thinking of building a small vertical-axis wind turbine as a project over school vacation. By small I mean maybe three feet across and three or four feet high. I'm trying to come up with the best design. This type of turbine is good at generating torque, not RPM's, so I want to try to...

Homework Statement State one known vertical asymptote of the graph of 1/secx Homework Equations None The Attempt at a Solution 1/secx = cosx

Homework Statement A uniform stick of mass m and length L, initially upright on a frictionless horizontal surface, starts falling. The circle at the center of the stick marks the center of mass. Derive an expression for the speed of the center of mass as a function of y and θ if the stick falls...

Homework Statement Find the vertical and horizontal asymptotes. Homework Equations f(x) = earctan x The Attempt at a Solution Honestly, I am pretty stumped on this problem. I have graphed it on my calculator and messed around a bit, it seems that the horizontal asymptotes are around y =...

Homework Statement The three balls in the figure which have equal masses, are fired with equal speeds at the angles shown. Rank in order, from largest to smallest, their speeds as they cross the dashed horizontal line. (All three are fired with sufficient speed to reach the line.) Homework...

Homework Statement A bead of mass m slips without friction an a vertically oriented hoop of radius R. The hoop rotates around the z axis at a constant rate w. (question 4 if anyone wants to see the figure) http://phstudy.technion.ac.il/~wn114101/hw/wn2010_hw05.pdf" Homework Equations Write...

This is all the given info: On a foreign planet (g cannot equal 9.8m/s), a profectile is fired Maximum horizontal distance= 40.2 m and it reaches this distance at 25s Maximum vertical distance= 25 m and it reaches this distance at 12.5s There is no horizontal acceleration, and there is...

hi, i've read in a lot of places that the minimum speed fora body to "finish" a vertical circle is (rg)^0.5, but I've never understood why.. they assume the if the body passes the top, it will finish the whole circle.. but i can't actually see it... can someone explain/proof it to me? secondly...

Sorry, I'm a newbie here and didn't know how to start a new thread, so I posted a question in another forum and then figured out how. I'm trying to redirect answers here. I'm arguing with a friend about how a half-Earth would appear from the Moon. Since we see the Moon in phases, it makes...

Homework Statement A 0.12-kg block is suspended from a spring. When a small stone of mass 30 g is placed on the block, the spring stretches an additional 5 cm. With the stone on the block, the spring oscillates with an amplitude of 12 cm. What is the net force of the stone when it is at a point...

Why are Horizontal Axis Wind Turbines used more often than vertical axis when it looks like a vertical axis has more of an advantage? Please can you explain it simply?

I need to find the vertical sections and level curves of the function z=max(x,y^{2}) associated with the constants 1,2,3 and 4. I know that the function defined in this way basically means that f(x,y)=x if x\geqy^{2} or f(x,y)=y^{2} if x\precy^{2} But I don't know where to go from here...

Homework Statement A student gets a 3 kg mass to oscillate up and down on bottom of a light vertical spring by pulling her hand up and down on the top end of the spring. The spring is a real spring with a spring constant of 89 N/m and a damping constant of 0.5 N sec/m. Homework...

I need to find the vertical sections and level curves of the function z=max(x,y^2) associated with the constant 1,2,3,4 so that I can sketch them. I know given z=f(x,y) then the vertical sections of the function are z=f(c,y) where c is a constant and the level curves are c=f(x,y). I've been...

Homework Statement A rod of mass 4.5 kg and length 1.2 m hangs from a hinge as shown in the figure below. The end of the rod is then given a "kick" so that it is moving at a speed of 5 m/s. How high will the rod swing? Express your answer in terms of the angle the rod makes with the vertical...

Homework Statement A roller coaster moves through a vertical loop at a constant speed and suspends its passengers upside down. In what direction is the force that causes the coaster and its passengers to move in a circle? What provides this force? The Attempt at a Solution We started this...

Homework Statement A toy rocket is projected vertically upwards from rest and it rises with an acceleration of (9-5t)g m / s^2 for the first two seconds and, thereafter, freely against gravity. Find: the maximum speed and the maximum height. Homework Equations a = (9-5t)g for the first 2...

I have a question about vertical oscillations. If a vertical spring, fixed at one end with a mass attached to the other and held so that the spring is not stretched.. is then released, will the amplitude of the subsequent oscillations be the distance between the new equilibrium point (of mass...

The speed of light in a gravitational field is predicted to vary between the horizontal and the vertical. This prediction comes from the Schwarzschild solution. The vertical speed c = cof The horizontal speed c = coSQRT(f) Where f is 1-2GM/rc2 Because f is smaller than 1, the vertical...

Homework Statement A small remote-control car with a mass of 1.51 kg moves at a constant speed of v = 12.0 m/s in a vertical circle inside a hollow metal cylinder that has a radius of 5.00 m. What is the magnitude of the normal force exerted on the car by the walls of the...

Homework Statement A 50.0kg stunt pilot who has been diving her airplane vertically pulls out of the dive by changing her course to a circle in a vertical plane. If the plane's speed at the lowest point of the circle is 95.0m/s, what should the minimum radius of the circle be in order for...

Homework Statement You throw a ball toward a wall with a speed of 32 m/s at an angle of 40.0° above the horizontal directly toward a wall. The wall is 22.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? (b) What are the...

I'm working on a problem that analyzes vertical jump kinetics. I have a data file that has force plate data and corresponding time steps when a person jumped straight up and then landed on a force plate. I also have the vertical distance that the person jumped. I want to calculate: 1. The...

Homework Statement Jimmy has caught two fish in Yellow Creek. He has tied the line holding the 4.10 kg steelhead trout to the tail of the 1.45 kg carp. To show the fish to a friend, he lifts upward on the carp with a force of 86.7 N. What is the tension of the rope connecting the steel trout...

A kicker must kick the football from a point 29.4m from the goal and clear a bar 3.00m above the ground. The ball leaves the ground with a speed of 20.0m/s at an angle of 53.0 degrees above the horizontal. a) By how much does the ball clear, or fall short of the cross bar? I used the...

Homework Statement A woman pushes a 20 kg lawnmower at a steady speed. She exerts a 87 N force in a direction of 32 (degrees) below the horizontal. The acceleration of gravity is 9.8 m/s^2. Find the magnitude of the vertical force this lawnmower exerts on the lawn. Answer in units of N...

Homework Statement You throw a ball toward a wall with a speed of 32 m/s at an angle of 40.0° above the horizontal directly toward a wall (Fig. 5-33). The wall is 22.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? not sure what...

Hello, this was a topic we were discussing in class, but its not mandatory to solve and not for credit so hopefully it's ok to post here: So take a horizontal block of mass M on a spring with length L. If coordinate system is x is positive to the right and spring and block are to the right...