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# Equilibrium

### Hookes Law: A massless spring and Morse function

1) A massless spring has unstretched length lo and force constant k. One end is now attached to the ceiling and a mass m is hung from the other. The equilibrium length of the spring is now l1. (a) Write down the condition that determines l1. Suppose now that the spring is stretched a further distance x beyond its new equilibri

### Curvilinear One-Dimensional Systems

These problems are on curvilinear one dimensional systems and are giving me a lot of difficulty, if you could provide help along with visuals to help explain that would be very helpful. 1) Which of the following forces is conservative? (a) F = k (x, 2y, 3z) where k is constant. (b) F = k (y, x, 0). (c) F = k (-y, x, 0). For

### Physics Lab - Static Equilibrium

Physics Lab experiment on Static Equilibrium: Laboratory data for this experiment has been provided. Do the data analysis and final conclusions. Draw the diagrams and show all equations used to understand. Also do questions at the end of the lab manual please.

### Compressional force in the spine when a person bends forward to lift an object

Referring to the person is figure P12.51 on Page 384 in the text, determine the compressional force in the spine when the person bends forward to lift a 300 N object. The spine and upper body are represented as a uniform horizontal rod of weight 400 N. The erector spinalis muscle attaches at a point two thirds of the way up the

### Harmonic oscillator and vibration

See attached files for full problem description. 1. In a physics lab, you attach a 0.200 kg air-track glider to the end of an ideal spring of negligible mass and start it oscillating. The elapsed time from when the glider first moves through the equilibrium point to the second time it moves through that point is 2.60 s. a) F

### Spring Oscillations

A particle of mass ,m, is at rest at the end of a spring(force constant=k)hanging from a fixed support. At t=0 a constant downward forcd F is applied to the mass and acts for a time T. Show that after the force is removed, the displacement of the mass from its equilibrium position (x=Xe, where x is down) is: x - Xe =F

### Normal force exerted by incline

A 2.00 kg block is held in equilibrium on an incline of angle = 70° by a horizontal force applied in the direction shown in Figure P4.50. If the coefficient of static friction between block and incline is µs = 0.300, determine the following (b) the normal force exerted by the incline on the block Your answer differs fro

### Tension, force, pulleys, friction.

A clown weighs 890 N. The coefficient of static friction between the clown's feet and the ground is 0.53. He pulls vertically downward on a rope that passes around three pulleys and is tied around his feet. What is the minimum pulling force that the clown must exert to yank his feet out from under himself?

### Equilibrium of Forces

An unknown weight is placed on a string that is attached to two spring scales at a 60degree angle. The weight is evenly distributed and each spring scale reads 2.4 N. With this information and the conditions of static equilibrium, determine the weight of the unknown object. Please show all work. The same setup is used to me

### 1-D Quantum Mechanics with Atomic Ions

In most metals, the atomic ions form a regular arrangement called a crystal lattice. The conduction electrons in the sea of electrons move through this lattice. The figure below is a one-dimensional model of a crystal lattice. The ions have mass m, charge e, and an equilibrium separation b. a) Suppose the middle charge is d

### Buoyant Force of a Helium Balloon

A helium filled balloon is attched to a 2 meter long, 0.050 kg string. The ballon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equillibrium, as in the attached picture. When deflated, the ballon has a mass of 0.25 kg. Determine the value of h.

### Find the angular velocity of a merry-go-round

See the diagram in the attached file. A small 0.140 kg sphere is suspended by a light string from a vertical post mounted at the edge of a merry-go-round of radius R = 0.440 m. The equilibrium position of the sphere is shown in the figure, with a = 0.410 m and b = 0.730 m. The axis of rotation is indicated by the dashed line

### Examples of Objects in Equilibrium

The arm in the figure (see attachment) weighs 44.1 N. The force of gravity acting on the arm acts through point A. Assume that L1 = 0.0890 m, L2 = 0.320 m and alpha = 12.4 degrees. 1.) Determine the magnitude of the tension force Ft in the deltoid muscle. 2.) Determine the magnitude of the tension force Fs of the should

### Calculating Tension, Horizontal Force, and Vertical Force

A 22.5 kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole. A cable at an angle of alpha=34.6 degrees with the beam helps to support the light. 1.) Find the tension in the cable. 2.) Find the horizontal force exerted on the beam by the pole. 3.) Find the vertic

### Wave Motion and Mechanics

The figure shows two masses hanging from a steel wire. The mass of the wire is 60.0 g. A wave pulse travels along the wire from point 1 to point 2 in 24.0 ms. What is mass m? The figure can be found at: http://session.masteringphysics.com/problemAsset/1001594/5/knight_Figure_20_80.jpg

### Speed of wave in steel wire and tension in the wire.

A steel wire (8 m long and 60 g mass) is clamped between two parallel walls. Two equal masses are hung from the wire at equal distance from each end. The left and right sections of the wire are 2m long and make an angle of 40 degree with each wall and the middle section is 4 m long and is horizontal. A wave pulse travels along t

### Standing waves

A 75 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of 1.80 m, then vibrated at 20 Hz. This produces a standing wave with two antinodes. What is the spring constant (k) of the bungee cord?

### Description of Equilibrium

I need help with these two question on moments and equilibrium: 1. In the figure, a 6.00-m-long, uniform beam is hanging from a point 1.00 m to the right of its center. The beam weighs 140N and makes an angle of 30.0 degrees with the vertical. At the right-hand end of the beam a 100-N weight is hung; an unknown weight w hangs

### Equilibrium of 3 force vectors

Given 3 force vectors as shown in part C (attached file). With the measured directions for the first and second quadrant forces, and the magnitude of the force measurement along the negative y direction, calculate the theoretical tensions in the cords that are in the first two quadrants (use the summation of x and y component

### Potential Energy and Energy Conservation (Graph)

Please see attached file for the problem Learning Goal: To be able to interpret potential energy diagrams and predict the corresponding motion of a particle. Potential energy diagrams for a particle are useful in predicting the motion of that particle. These diagrams allow one to determine the direction of the force acting o

### Electricity: Magnitude of plate charge, speed of particle, electric potential difference

See attached file for full problem description including graphs. --- A small plastic ball of mass 6.39 x 10-3 kg and charge +0.164 C is suspended from an insulating thread and hangs between the plates of a capacitor (see the drawing). The ball is in equilibrium, with the thread making an angle of 30.0° with respect to the

### Free Body Diagrams of Forces

Please solve each problem step by step giving solutions please. SHOW every equation used and every step getting to the answer. Show substitutions, etc. Please give units. Look below for pages. Adult student learning from ya'll and so you can read what I need help with I cut and paste the questions cause some cannot read m

### 6 Hydrostatics Problems:Fluid pressure, Pascal's, Archimedes

Please help with problems 23,26,28,29,33, and 37 and give step by step solutions using and showing equations used with answers please. Also, if a picture may work please include. (See attached file for full problem description)

### The problem requires calculation of pressure on the bottom of a barge.

1) A loaded flat bottom barge floats in fresh water. The bottom of the barge is 4.06m below the water line. When the barge is empty the barge's bottom is only 1.36m below the water line. What is the difference between the pressure on the bottom of the loaded barge and the pressure at the water line? Answer in Pascals. 2) I

### Simple harmonic motion of a marble around the equilibrium position in a verticle circular hoop.

A marble can roll around the inside of a vertical circular hoop of radius R. It undergoes small-amplitude oscillations if displaced slightly from the equilibrium position at the lowest point. Find an expression for the period of these small amplitude oscillations.

### Equilibrium of Bodies: Weights and pulley system.

For the system depicted, find W1, W2 T1 T2 when W3 = 800 N (See attached file for full problem description with diagram)

### Torque Problem

5. A crane of mass mc = 3400 kg supports a load of ml = 11300 kg as in Figure. The crane is pivoted with a frictionless pin at A and rests against a smooth support at B. Find the reaction forces at A and B.

### Simple Harmonic Motion: Coupled spring and pendulum system

Please go to the word document, which includes a graph and explains better. It should be much easier to understand it on word. A mass M1 on a frictionless plane is connected to a support O by a spring of stiffness k. Mass M2 is supported by a string of length l from M1. a. What are the forces acting on M1 and M2? b. By a co

### Physics: Free-body Diagram

(See attached file for full problem description) --- 6. A 25 kg mass is supported by ropes as shown... --- A 25-kg mass is supported by ropes as shown. Draw a free-body diagram of the "knot" where the ropes join. Use this to determine the tension in each of the ropes.

### Connected masses in equilibrium, mass sliding on an incline

6. A hanging 2-kg block begins to accelerate a 4-kg block on a horizontal surface. But a rope connected to the wall at 60.8 degrees brings the block to an equilibrium position. What is the tension (to two decimal places) in the angled rope that is required to keep the block from accelerating? The coefficient of friction between