Question

(1). The mass density of a semicircular wire of radius a varies directly with the distance...

(1). The mass density of a semicircular wire of radius a varies directly with the distance from the diameter that joins the two endpoints of the wire. ​Find the mass equation 人(x,y)

(2) Let say now the density varies directly as the cube of the distance from the line that divided the wire in half vertically. Fin the mass equation 人(x,y)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If ρ(x,y) is the density of a wire (mass per unit length), then m=∫Cρ(x,y)ds is the...
If ρ(x,y) is the density of a wire (mass per unit length), then m=∫Cρ(x,y)ds is the mass of the wire. Find the mass of a wire having the shape of a semicircle x=1+cos(t),y=sin(t), where t is on the closed interval from 0 to π, if the density at a point P is directly proportional to the distance from the y−axis and the constant of proportionality is 3. Round in the tenths place.
The current density inside a long, solid, cylindrical wire of radius a = 3.6 mm is...
The current density inside a long, solid, cylindrical wire of radius a = 3.6 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 420 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 2.0 mm and (c) r=3.6 mm from the center.
Consider the hemispherical shell of inner radius 3 and outer radius 7. The mass density at...
Consider the hemispherical shell of inner radius 3 and outer radius 7. The mass density at any point P(x,y,z) is directly proportional to the square of the distance from P to the origin. Set up an integral in an appropriate coordinate system for the moment of inertia about the z-axis. Simplify your integrand as much as possible, but do not evaluate the integral.
1. First consider a mass on an inclined slope of angle θ, and assume the motion...
1. First consider a mass on an inclined slope of angle θ, and assume the motion is frictionless. Sketch this arrangement: 2. As the mass travels down the slope it travels a distance x parallel to the slope. The change in height of the mass is therefore xsinθ. By conserving energy, equate the change of gravitational potential energy, mgh = mgxsinθ, to the kinetic energy for the mass as it goes down the slope. Then rearrange this to find an...
10. A spherical conductor of radius R = 1.5cm carries the charge of 45μ, (a) What...
10. A spherical conductor of radius R = 1.5cm carries the charge of 45μ, (a) What is the charge density (ρ) of the sphere? (b) Calculate the electric field at a point r = 0.5cm from the center of the sphere. (c) What is the electric field on the surface of the sphere? 11. Two capacitors C1 and C2 are in series with a voltage V across the series combination. Show that the voltages V1 and V2 across C1 and...
1. A cord of mass 0.65 kg is stretched between two supports 8.0 m apart. If...
1. A cord of mass 0.65 kg is stretched between two supports 8.0 m apart. If the tension in the cord is 140 N, how long will it take a pulse to travel from one support to the other? 2. A 50.0 Kg ball hangs from a steel wire 1.00 mm in diameter and 6.00 m long. What would be the speed of a wave in the steel wire? 3. The intensity of an earthquake wave passing through the earth...
Finding the Spring Constant We can describe an oscillating mass in terms of its position, velocity,...
Finding the Spring Constant We can describe an oscillating mass in terms of its position, velocity, and acceleration as a function of time. We can also describe the system from an energy perspective. In this experiment, you will measure the position and velocity as a function of time for an oscillating mass and spring system, and from those data, plot the kinetic and potential energies of the system. Energy is present in three forms for the mass and spring system....
1) 2 point charges are separated by a distance of 8 cm. The left charge is...
1) 2 point charges are separated by a distance of 8 cm. The left charge is 48 mC and the right charge is -16mC. Using a full sheet of paper: draw the 2 charges separated by 8cm, centered in the sheet. (if you are missing a ruler estimate 8cm as ⅓ a paper sheet length). [6] a) Draw field lines to indicate the electric fields for this distribution. [4] b) Draw 3 equipotential surfaces, 1 each, that pass: -Through the...
In this exercise, you will analyze the supply-demand equilibrium of a city under some special simplifying...
In this exercise, you will analyze the supply-demand equilibrium of a city under some special simplifying assumptions about land use. The assumptions are: (i) all dwellings must contain exactly 1,500 square feet of floor space, regardless of location, and (ii) apartment complexes must contain exactly 15,000 square feet of floor space per square block of land area. These land-use restrictions, which are imposed by a zoning authority, mean that dwelling sizes and building heights do not vary with distance to...
1) Describe an example of each of the following that may be found of your kitchen:...
1) Describe an example of each of the following that may be found of your kitchen: Explain how your choice falls into this category, and if there is a chemical name or symbol for it, provide that as well. Provide a photo of your example with your ID card in it. a) a compound b) a heterogeneous mixture c) an element (symbol) Moving to the Caves… Lechuguilla Caves specifically. Check out this picture of crystals of gypsum left behind in...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT