Balance Definition and 491 Threads

Summary: Why does segway rider who leans forward when accelerating keep balanced ? Is it because the inertial torque acting on the rider balances the torque created by gravity? F=-ma

Hi all, Consider a platform with angular velocity ##\omega##. A particle on top of it has a velocity with only ##\hat \theta## component (no radial ##\hat r## velocity). In this case, the inertial forces read: $$ F_{in} = 2m\omega V_\theta \, \hat r + m \omega^2 r \, \hat r $$ If ##V_\theta =...

Here is the picture where person balancing a toy bird with using center of mass. I am bored with center of mass. I want to try same experiment with center of gravity. Is it possible to use center of gravity to balance bird toy ?

Attempt: No clue what equations to use from here.

Since ΔT is change in temperature, the container and it's contents and the led most have same temperature difference when the led is added. I tried by assuming that energy released by the led is same as the amount that container and it's contents absorb. Meaning Q1-Q2 = 0 => Q1 = Q2. $$ \Delta...

Here is diagram for Tower Crane. The Rack weight P=700kN, and the maximum load capacity for this crane is W=200kN. The long beam length is 12 metres, and the balance object weighs Q. The short beam length is 6 metres. What is the weight of Q to keep the crane's balance at all situation?

The question arises in which procedure to follow, a balance by element or by compound? The excersise is this: A mineral of a process contains contains 90% FeS2 and 10% inerts by weight. This materialit is calcined with 25% excess air, according to the reaction: FeS2 + 02 ► Fe203 + S02 The...

Homework Statement 180kmol/hr of a three component mixture made up of 60 mol % A, 25 mol % B and 15 mol %. Component A is the most volatile ,component C is the least volatile. The mixture is to be passed through a 2 stage distillation process. 80% of component C leaves the bottom of the first...

I am trying to determine a normal stress balance at an axisymmetric and dynamic fluid-fluid interface, ##z(r,t)##. For a static, free surface, this simplifies to the Young-Laplace equation: $$ \Delta p=\rho gz-\sigma2H=\rho gz-\frac{\sigma}{r}\frac{\partial}{\partial r}\left(r\frac{\partial...

Homework Statement The weight of a glass full of water is being measured using balance. a. An object is fully immersed so that some of water spilled out. How is the reading compared to before the object is immersed? b. If the experiment is repeated and now the object immersed has same volume...

Can anyone point to a refereed paper exploring the heat absorbed by melting around 500 GT of ie per year (Antarctic - 127 GT pa; Greenland 286 GT pa; sea ice, glaciers estim. 100 GT pa)? As latent heat of fusion is 333.55 KJoules per Kg, I reckon the heat absorbed per year is around 1.67 X 1023...

There are two aspects of uncertainty (a) how far different from the situation where all possibilities are of equal probability (b) how spread out the values are. In discussions about (Shannon) entropy and information, the first aspect is emphasized, whereas in discussions about the standard...

Homework Statement 2. Homework Equations [/B] So I basically have to establish the non linear differential equation that governs the movement of this robot (relates d and theta): The Attempt at a Solution So I know that we should have the sum of torques equal to...

Homework Statement [/B] A skier (mass M = 100 kg) going down a slope with inclination θ = 30°, sliding in a fluid-like snow (viscosity μ = 100 mPa*s) of thickness h = 0.01 m, using a pair of skis, each one with a surface area of As = 0.15 m2, reaches terminal velocity vt after some distance...

The lower plate of a parallel plate capacitor is supported on a rigid rod.The upper plate is suspended from one end of a balance.The two plates are joined together by a thin wire and subsequently disconnected.The balance is then counterpoised.Now a voltage V= 5000V is applied between the...

Homework Statement Two straight rods 60 cm long and 2.0 mm apart in a current balance carry currents of 18 A each in opposite directions. What mass must be placed on the upper rod to balance the magnetic force of repulsion? ## \mu_0 = 4 \pi * 10^-7 ~\frac {T * M} {A}## ## g = 9.81 ~m/s ##...

Hi, this problem should be very simple: I have a tank containing water. (going in and out). I want to write the differential equations to see what happen to the temperature and the level of the vessel if the flow of water is not constant. the system should be: $$A \frac {dl} {dt} = F_{in} -...

The question is: The orange and blue cat are currently balanced on the see saw. The orange cat then eats a bird, which of the following could make the see saw balanced again? - I attached the picture that the question is referencing. And the possible answers are: A. Orange cat stays at same...

I need to find out how calculate magnetic forces appearing in AC induction motor rotor when it is not magnetically centered inside the stator.

Please tell me what capital V and v mean in this equation. And how can we derive the second equation from the first one.

Homework Statement Homework Equations only basic school level physics will be needed in this question. The Attempt at a Solution The mass m1 pulls spring from first side and m2 pulls spring from the other side therefore reading should be m1-m2. But my answer is wrong. I can't understand what...

I am currently working on a project which requires a mass and energy balance on a fin/ fan heat exchanger. The problem I am running into is finding how to apply the fin efficiency to find out the amount of hea tbeing dissipated through the fins. The hot fluid is water and the cooling fluid is...

For #8b ( https://www.docdroid.net/5W4Imc9/question.pdf ), I don't understand how $104,771.14 is obtained. #8 re-typed here for your convenience: A family has a $130,000, 25-year mortgage at 4.2 %, compounded monthly. a) Find the monthly payment. b) Find the unpaid balance after 15 years. c)...

A smooth flexible tube 1mm in diameter and 1 foot in length holds air at normal / atmospheric pressure (14.7psi). the tube is open at one end. the other end is connected to a tank by an open valve. the tube is peristaltically compressed so all the air in the tube is forced into the tank. the...

Hi all, I have been battling this topic for one year now. Frequenctly revisiting it and trying to find a clear answer on the internet and in but without finding it. Could be that my knowledge level is too low. However, I'll give it a shot here. So what I have been learned is that during...

How does the Chinook balance itself with only 2 main rotors and no tail rotor? Is it the difference of height and angle between the front and back rotor, equivalent to the stabilization function of a tail rotor?

I know bicycles and other single track vehicles stay upright with countersteering only, especially at lower speeds. But the guy rides his bike on a slackline that is obviously not wide enough to countersteer. Does his body movements work because there is slack in the rope so when he moves the...

Homework Statement The figure shows a uniform thin rigid plank of length 2b which can roll without slipping on top of a rough circular log of radius a. The plank is initially in equilibrium, resting symmetrically on top of the log, when it is slightly disturbed. Find the period of small...

In quantum mechanics, I've learned that when there are incident photons with energy spectral density ##ρ(ω)## , two states system with ##E_i## and ##E_n## (##E_n > E_i##) goes through transition (absorption and emission) with transition rate Γ_{i→n}=Γ_{n→i}=\frac {2π}{ħ}|V_{ni}|^2ρ(E_n-E_i).Is...

First, I am not a scientist, so this may be a stupid question. But with all the concern about global warming - and given that temperature and pressure are related - why doesn’t rising temperature cause the atmosphere to expand outward and the temperature to fall as a result, back to an...

Homework Statement Attach a 216.82 g mass at the 90 cm position. Red-adjust the position of the knife edge such that the meter stick is once again balanced. Determine the mass of the meter stick without using the balance. 2. Homework Equations Torque = force * distance from center F=ma T1+T2...

Hello everyone, I know that the any object, human body included, when the vertical line from its center of mass to the floor falls outside the base of support, topples under the influence of gravity: the force of gravity produces a nonzero torque that rotates the body. Is the human body able to...

Homework Statement :[/B]Use the energy balance equations you wrote down for the ground layer, the atmospheric layer, and the above the atmosphere layer (space) in part (a) to show that the ground temperature Tg can be expressed in terms of the emission temperature TE as follows: $$ T_g =...

Homework Statement Use the data in the energy balance diagram for the Earth shown below to determine numerical values for α, a and e. Assess your results by comparing them to the commonly used approximations α = 0.3, a = 0 and e = 1. Show your calculations. Homework Equations Look at the the...

Corey deposited 1,500 in a savings account that earns simple interest at 5.75 percent. What is the balance in his account at the beginning of the third quarter? a. 1,556.78 b. 1,528.13 c. 1,543.13 d. 1,612.50 When I multiply 1500 by 0.0575 and add to 1500, the answer is different than those...

Homework Statement In an industrial process, a tank containing 200 liters of water must be heated from a temperature of 293 K to 372 K at a constant pressure. There is a negligible change in the volume of the water. The water is stirred during this process to maintain a uniformly distributed...

In a heavy nucleus, the balance of the Coulomb and nuclear forces is a delicate one. This can be seen in two cases: First, in oblong deformed nuclei, alpha particle emission is more likely to occur at the poles, where the Coulomb barrier is thinner, than at the waist. Second, heavy synthetic...

Q : sample 0.2795 g containing only C6H6Cl6 (Mw = 209.8) and C14H9Cl5 (Mw = 354.5) precipitate AgCl 0.7161 g (Calculate %(C6H6Cl6) and %(C14H9Cl5) in sample) AgCl has 143.3 g/mol and 4.997 x 10-3 I get 0.2795 g = weight of (C6H6Cl6) + weight of (C14H9Cl5) mol of AgCl =...

From meeting of cardiologists in Spain: Study on +135000 people worldwide, researchers interpretation: Note that the study included many residents of third world countries where macronutrient (fats and carbohydrates) over consumption is not common. For biology types...

Homework Statement As shown in Fig. P5.39, a system undergoing a power cycle develops a net power output of 1 MW while receiving energy by heat transfer from steam condensing from saturated vapor to saturated liquid at a pressure of 100 kPa. Energy is discharged from the cycle by heat transfer...

Question A mass of 1.5 kg of air at 120 kPa and 24 C is contained in a piston-cylinder device. The air is compressed to a final pressure of 600 kPa. During the process heat is transferred from the air such that the temperature inside the cylinder remains constant. Calculate the work input...

Hi, I am Gary. I like to stretch the limits of my conceptualizing, and catch up to it with experiential awareness. This characteristic leads me to write a blog of experiments, realizations and experiences, such as having a conversation with a stone about 'cooperative networks of conscious...

Homework Statement I want to find the angular frequency of the system below Homework Equations F = -kx U = 1/2*k*x^2 The Attempt at a Solution But here's the answer: I don't know how come this solution. Any one help me? Thank you so much.

When oil is taken from the ground, it leaves a cavity that doesn't get backfilled. If material were taken from anywhere on a billiard cue ball, it would throw it out of balance. Trillions of gallons of oil have been displaced over roughly 100 years, shouldn't that affect Earth's rotation on...

I'm trying to find some basic physics information. Suppose you have a (massless) beam, supported at two points, 10 feet apart. You have a force (m*g) of 100 Newtons resting on that beam, say 4 meters from the left point (6 meters from the right)... How much force does that exert on each point...

Homework Statement Here we divide the mole balance by the volume ##4*\pi## ##*## r2##*##dr and take lim as dr->0(standard procedure) 1) How exactly he makes the transition from equation from 6 to 7? Exercise #2(see below please) Solution for Problem#2 2)Why does he divide here by...

The text in the paper says that C1 has Vout/N-1 = Vout/6, C2 has 2*Vout/6 and so on... Can someone please explain how? Source : Liao, Zitao, Yutian Lei, and Robert CN Pilawa-Podgurski. "A GaN-based flying-capacitor multilevel boost converter for high step-up conversion." Energy Conversion...

Homework Statement Homework Equations 0=viscous+gravitational+pressure I saw in the solutions that pressure=0 in this case, but why? I also knew that : accumulation= flow in - flow out+generation, why not use this one? The Attempt at a Solution (their solution) We are interested in...

As some of you may know I have several times linked to the website www.mikeholt.com. This site is for engineers, electricians, inspectors, etc. Usually my links to this site relate to a more technical in nature subject but in this case it is more about consumer issues. - Here is the precise...

I am trying to find an animation (from the internet) explaining the intricate balance of heavenly bodies (stars, planets, satellites, comets etc) in their own orbits. What happens if there is a sudden change in anyone of characteristics of those heavenly bodies. Is a small perturbation in...