Equilibrium Definition and 1000 Threads

Its part B that I'm not sure about. I know how to do it. But I'm confused about why the support force is not acting vertically upwards (so no horizontal component). I assumed that the support force would always be directly perpendicular to the ground/slope/wall. Can someone explain this?

Hi, The question I have is not for a numerical answer but for clarification. Some of the questions involving torque/rotational equilibrium describe a person standing on a plank. I know that the gravitational force of the person on the plank needs to be considered for translational and...

Homework Statement Two reservoirs are connected. Water drains from one reservoir to the other, governed by the following ODE: dh/dt= -k1*(h)^0.5 -k2*(h-H)^0.5 , H<0, k1,k2>0 Does an equilibrium exist? What happens in terms of Picard's Existence Theorem? Draw a phase diagram of possible h*...

Homework Statement A block of weight 50N is hung by 3 cables from the ceiling. Each rope ZA, ZB, ZC converges at Z so that they form a tetrahedron. (ZA=ZB=ZC=AB=BC=CA). Find the magnitude of the tension of each cable. a=0 tetrahedron symmetryHomework Equations F=mgThe Attempt at a Solution I...

Homework Statement A rod of negligible mass is supported by a hinge at the wall by a horizontal wire fastened at a 30 degree angle one-third of the way along the rod. A weight of 12 N hangs from the left end of the rod. a) Find the tension (T) in the horizontal wire. (T = 62.2 N) b) Find...

Homework Statement See: http://www.aapt.org/physicsteam/2010/upload/2010_FmaSolutions.pdf Question 11Homework Equations T_net = 0 F_net = 0 The Attempt at a Solution Start with F_net = 0: Let T1 be the force of tension on the left, T2 on the right T1cosθ=T2cosθ Y components: T1sinθ+T2sinθ = mg...

Homework Statement How to find equilibrium points between four point charges? How do you determine whether these equilibrium points are stable, unstable, or neutral? I know the sum of the forces should equal zero, but that's it. How do you determine the stability of the equilibrium...

What makes objects in dynamic equilibrium move? It can't be gravity because then it would only be one force and if an object is under the influence of one force, then it cannot be in equilibrium. Any help would be appreciated.

Two masses, 300 g and 400 g, are connected by a cord that passes over a pulley with a radius of 6.64 cm (an Atwood's machine). When released from rest, the 400-g mass falls 60 cm and the 300-g mass rises 60 cm in 4.00 seconds. Find the rotational inertia of the pulley. Four 100-g ice cubes at...

Homework Statement Find the forces of the three strings of this image. http://www.flickr.com/photos/79276401@N05/8395815988/in/photostream Homework Equations Using gravitational constant to find force of the mass. Using algebra to find the forces of the three strings. The Attempt at a...

on a meter stick the pivot point is placed at 1/4 its length; predict the force needed to balance the meter stick by pulling upward on the end of it with a string making an angle of 30 degrees w/ respect to the vertical. Me trying to solve it: sigma T=0 T1+T2=0 T1 = 0 <--this is the pivot...

Homework Statement I attached the original problem and a diagram I made with the variables on it. Basically we have a rod hanging from a wire at an angle theta with tension and the other end floating in water. So there is T=tension, weight=w=mg and buoyant force=F_b. I introduced symbols for...

Hi there, This could be absolute nonsense but I just got thinking about this. Say you had a certain metal into which a quantity of hydrogen had diffused, and then you placed it in communication with another hydrogen-free metal (say, titanium), would it be possible that the hydrogen would move...

Homework Statement I am making a hanging mobile which needs to be done mathematically by calculating torque. The problem is, I can't seem to figure out how to solve for the distance. You see, all of the problems we did in class talked about finding mass, but to do this project, I already...

Homework Statement Two fixed charges, +1.07 uC and -3.28 uC, are 61.8 cm apart. Where may a third charge be located so that no net force acts on it? Homework Equations Coulombs law The Attempt at a Solution q1 = 1.07 uC q2 = -3.28 uC q3 = q q1 ----- q2 ----- q q1 and q2...

is it true that all matter and everything in this universe microscopic or macroscopic have a tendency to go to an equilibrium state ?

Homework Statement A clothesline is attached to two fixed ends which are 10.0m apart. A pulley of mass 40.0kg hangs freely in the middle of the line. The sag at the centre is 0.20m. Find the tension in each half of the clothesline. Homework Equations The Attempt at a Solution...

Homework Statement A pole is suspended horizontally between a wall and an attached string.(See the attachment). An object(W) is hanging from the pole at a distance of x from the wall. Find the value of x that preserves the equilibrium. 1) the angle between the pole and the...

Homework Statement if the equilibrium rule states ƩF=0N, how can something move or be moving at a constant speed ? eg I push on a box with 50N and friction provides 50N back, resulting in ƩF=0N. So I am not providing more N than the box is resisting with. I thought something could only be...

Homework Statement The sign for Lew's Bait Shop and Sushi Restaurant is a uniform rectangle, 1.50m wide and 0.800m tall, weighing 300N. It is supported by a wire at its upper-right corner and a pivot at its lower left corner. a) Late one night the wire was cut while the sign stays in...

I have studied a few online sources about static equilibrium in a mechanical system. My overall understanding is that for an object to be in static equilibrium, two following conditions have to be fulfilled: 1) Vector sum of all external forces that act on body must be zero. 2) Vector sum of...

Hello, I am currently reading the about the topic mentioned in the title of this thread. In my textbook, the author gives the example with the wine-bottle and it's holder (I attached a photo). In this example, the author states that in order for this to be in static equilibrium, the second...

I don't necessarily understand the explanation given to the solution. Is it basically saying: A (valley) --> 0 (equilibrium) --> -A (valley) --> 0 (equilibrium) --> A (valley)?

Homework Statement Find the mass necessary for equilibrium to occur in the following image. Assume that the mass and the friction of the pulleys are negligible. Homework Equations None directly provided for this problem. The Attempt at a Solution I figured for this problem I...

What should be the molarity in an aquatic dissolution for Trimethylamine, ##(CH_3)_3N## if ##pH=11,2##? ##(CH_3)_3N+H_2O \rightleftharpoons (CH_3)_3NH^++OH^-##, ##K_b=6.3 \times 10^{-5}## I know that ##pH+pOH=14 \rightarrow pOH=2.8##, then ##[OH^-]=1.58 \times 10^{-3}## And...

Homework Statement At 100 o C Kc=.078 for the reaction SO2Cl2<-->SO2 + Cl2. In an equilibrium mixture the [SO2CL2]=.0108 M and [SO2]=.052 M. What is the partial pressure of Cl2 in the eq. mixture? Homework Equations Kp=Kc(RT)\Deltan P=RT/V The Attempt at a Solution I solve for...

Homework Statement Compound A can react to form B and C according to the following A<->2B Kc=1 A<->C Kc=1 If 1 mole of A is solved into 1 litre of water, what will the concentration of A be after equilibrium has been reached?Homework Equations ICE-tables(?) A<->2B+C Kc=([B]^2[C])/[A] The...

hi, for question two on the attached pdf, how would the equilibrium in the x work? From what i understand there must be an x and y component for the pin support at A because it acts at an angle but the support at B only has a y component because it is a rocker.

Homework Statement Assume Harvard has the following marginal cost equation and acts like a competitive firm: MC = 10X + 100 The aggregate demand for education at the College is: X^D("D" simply stands for demand)= 200 - .5p The demand function above does not account for an additional...

Homework Statement The attachment shows a simple diagram of a system consisting of a Sphere(uniform) and and rod(uniform) in equilibrium. The rod is in rough contact with the sphere and hence there would be friction (acting vertically at the point of contact of the two objects). Both...

Suppose a square metal mesh sheet is hung off-center from a string and you are charged with the task of hanging various weights so that the mesh will be in static equilibrium, roughly horizontal. Why is it that this task must be done with masses that can exert torques large enough to flex the...

searching for equation for translational equilibrium for horizontal components of force

Homework Statement A 1kg of ice at -30° C is added to 10 kg of steam at 500°C. answer the following questions: a) What is the final phase of the system of ice + steam if no heat escaped from it. b) What is the final temperature when the equilibrium is established Homework Equations...

So let's say we have a mechanical system described by some Lagrangian L=L(q_i,\dot{q}_i), where the qi's are the generalized coordinates of the system. Does the condition \frac{\partial L}{\partial q_i}=0 give the equilibrium configurations of the system? Intuitively it seems so, but I can't...

Homework Statement Suppose the ruler in procedure 3 is asymmetrical, balancing at the 60.2 cm mark. The ruler is now supported at the 41.3 cm mark, and a mass of 364 g is placed at the 26.2 cm mark. Find the mass of the ruler. The ruler is 1.00 m long. Homework Equations...

Homework Statement When I drag my feet on the ground (on a frictionless surface), there will be an equal but opposite force acting on another body. What is that body exactly?Homework Equations none The Attempt at a Solution Will it be transferred to some other parts to my body? So in space...

Homework Statement In Figure, a 103 kg uniform log hangs by two steel wires, A and B, both of radiuses 1.20 mm. Initially, wire A was 2.50 m long and 2.00 mm shorter than wire B. The log is now horizontal. What are the magnitudes of the forces on it from Wire A, and Wire B? Ysteel= 2.00*10^(11)...

Homework Statement A painter (mass 61 kg) is walking along a trestle, consisting of a uniform plank (mass 20.0 kg, length 6.00 m) balanced on two sawhorses. Each sawhorse is placed 1.40 m from an end of the plank. A paint bucket (mass 4.0 kg, diameter 28 cm) is placed as close as possible to...

Homework Statement A 93-kg box hangs from the ceiling of a room—suspended from a spring with a force constant of 540 N/m. The unstressed length of the spring is 0.505 m. (a) Find the equilibrium position of the box. (b) An identical spring is stretched and attached to the ceiling and the box...

Homework Statement Suppose I have two substances in a solution, each forming an equilibrium with its corresponding vapor phase, and thus having its own partial pressure. How can I measure this partial pressure of one of the components, given the pressure of each component in its pure form...

Is the time taken to reach equilibrium the same whether starting from reactants or products, under the same conditions? I think intuitively it is but cannot find a reference or proof.

(solved) Finding charges in a pendulum in equilibrium Homework Statement Two small metallic spheres, each of mass 0.20 g, are suspended as pendulums by light strings from a common point. The spheres are given the same electric charge, and it is found that the two come to equilibrium when...

Homework Statement The reaction is PCl5 (g) <=> PCl3 (g) + Cl2 In an unknow volume, the following mixture is balanced: 0.14 atm of PCl5 0.36 atm of PCl3 0.50 atm of Cl2 What would be the the pressure of the whole mixture if the volume would be halved? (the answer is 1.88 atm) Homework...

Homework Statement A cube of wood having an edge dimension of 20.9 cm and a density of 651 kg/m3 floats on water. what is the distance between the top of the cube to the water level? Homework Equations F = density*g*Volume The Attempt at a Solution I believe i have the right...

Homework Statement In this problem, you'll model the lower atmosphere of Venus. The atmospheric pressure reaches 1 bar (100 kPa) in the middle of the dense cloud deck, where T ~ 350 K. At the surface, the pressure is 90 bars (9000 kPa). From the surface to the 1 bar level, the temperature T(z)...

1. A block with a mass of 6 kg is held in equilibrium on an inclined plane of angle θ=30 degrees by a horizontal force F. Find the magnitudes of normal force on the block and of F (ignore friction). So far, I've found Fg=6(-9.81)=-58.86 N I then found Fgy=-58.86(sin240)=50.97 and...

Homework Statement Consider a sphere conductor with a inner concentric sphere cavity. The radius of the inside and outside of sphere are 10 cm and 20 cm. The electric field in a point P, along the outer surface has a intensity of 450 N/C and it is directed out of the surface. When a particle...

Homework Statement The image in the attachment shows two uniform ladders (red and blue) in equilibrium resting on grass(green). The distance between A and B is "L" units. The two ladders are freely hinged at C. Because the ladders are uniform their Centers of mass lie at their mid...

Hello. I am preparing for certain exams and I encountered these question. Can you guys help me to solve these ones? The 1st one I tried to apply formula about density (p=m/v), but I guess that I need to solve through that ice cube. That I firstly sort out the number of atoms in ice cube...

Homework Statement What is the value of Kc for the reaction H2(g) + F2(g) <=> 2HF(g) given that when 0.010 mol H2 and 0.050 mol F2 are added to a 1.00 L container, 0.0125 mol HF is present at equilibrium. Homework Equations The Attempt at a Solution I'm confused about how to set up the ICE...