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Equilibrium

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

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

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

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

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.

Oscillation and Equilibrium

a) A 0.24-kg mass is attached to a spring with spring constant 6.1 N/m and let fall. To the nearest hundredth of a meter what is the point where it 'stops'? b) What is the amplitude of the resulting motion? See the attached file.

Oscillations and Equilibrium

The velocity of a simple harmonic oscillator is given by: v = -9.55sin(21.8t) (mks units) a.) What is its angular frequency? b.) What is the amplitude of the motion in meters to two decimal places? c.) To the nearest hundredth of a meter where is the mass at the time t=18.29 seconds? d.) If the mass in letter c

Equilibrium: Force on the legs of table with a cat on it.

The top view of a table, with weight W_t, is shown in the figure. The table has lost the leg at ( L_x, L_y), in the upper right corner of the diagram, and is in danger of tipping over. Company is about to arrive, so the host tries to stabilize the table by placing a heavy vase (represented by the green circle) of weight W_v at (

The mobile in the figure below is in equilibrium.

The mobile in the figure below is in equilibrium. The object B has mass of 0.860 kg. Determine the mass of object C. Assume L1 = 30.6 cm, L2 = 7.90 cm, L3 = 15.0 cm, L4 = 5.00 cm, L5 = 16.9 cm and L6 = 5.00 cm. (Neglect the weights of the crossbars.)

Mass on a rope between two walls

A mass is hung on ropes between two walls, as shown in the diagram. The tension in the rope on the right, which is horizontal, is 20.0 N. (A) Find the tension in the rope on the left. (B) Find the mass that is hanging. (Answers: 26.1 N, 1.7 kg) Graphic is attached.

Charged Articles Fixed in Place on an Axis

Please see attached files. Place step by step solutions and answers on separate piece of paper and give answer please. Draw pictures if needed. 3. Figure 21-14 shows four situations in which charged particles are fixed in place on an axis. In which situations is there a point to the left of the particles where an electron

Torque, Equilibrium, and Stability

While standing on a long board resting on a scaffold, a 70 kg painter paints the side of a house. The boards length across the scaffolding is: end of board to scaffold is 1.5m, then from one end of the scaffold to the other end of the scaffold is 2.5m, then from the end of scaffold to end of the board is 1.5m. If the mass of t

What is the tension in the string?

A 5.0 N uniform meter stick is pivoted so that it can rotate about a horizontal axis through one end. If a 0.15 kg mass is suspended 75 cm from the pivoted end, what is the tension in the string? Please see the attached picture for the arrangement.

Equilibrium and Force Distribution Problem

A uniform steel beam has a mass of 1178kg. On it is resting half of an identical beam, as shown in the figure attached. What is the vertical support at the right end. How about at the left end?

Static Equilibrium for an Exercise Regime

Q2- as a part of an exercise regime,,a lady lifts herself up from standing position at the rest,wth wait distributed normally across the soles of her feet,onto tiptoe(standing on 2 feet)which muscle group she is exercising ?is it possible to achieve the static equilibrium by loading only one muscle group?if so draw a free body d

Statics -- Equilibrium

Please look at the attached problem 5-20: Determine the reactions at the points A and B of the frame. I know that the following must hold true: Sum(Moments(b)) = 0 Sum(Fx) = 0 Sum(Fy) = 0 No moment is indicated in the problem, so I'm not sure if that's needed. Your help is appreciated.

Fluid mechanics

A beaker of mass m-beaker containing oil of mass m-oil (density = p-oil) rests on a scale. A block of iron of mass m-iron is suspended from a spring scale and completely submerged in the oil. Determine the equilibrium readings of both scales.