Question

A long thin solid rod lies along the positive x-axis. One end is at x =...

A long thin solid rod lies along the positive x-axis. One end is at x = 1.50 m and the other at x = 3.60 m. The linear mass density is λ = ax3 + bx, where λ is measured in kg/m, and the constants have the following values: a = 1.80 kg/m4 and b = 2.40 kg/m2.

1. Determine the total mass of the rod.

2. Calculate the x-coordinate of the center of the mass for this rod.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Definition of center of mass and integration method is used to solve the question

Add a comment
Know the answer?
Add Answer to:
A long thin solid rod lies along the positive x-axis. One end is at x =...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 0 A rod of length L and mass M is placed along the x-axis with one...

    0 A rod of length L and mass M is placed along the x-axis with one end at the origin, as shown in the figure above. The rod has linear mass density λ=en-x, where xis the distance from the origin. Which of the following gives the x-coordinate of the rod's center of mass? 2M 12 (B) I (C)江 4

  • A long, thin rod (length = 3.0 m) lies along the x axis, with its midpoint...

    A long, thin rod (length = 3.0 m) lies along the x axis, with its midpoint at the origin. In a vacuum, a +9.0C point charge is fixed to one end of the rod, and a -9.0HC point charge is fixed to the other end. Everywhere in the x, y plane there is a constant external electric field (magnitude 4.0 x 103 N/C) that is perpendicular to the rod. With respect to the z axis, find the magnitude of the...

  • A thin rod of length L lies along the x-axis. It has a uniform linear charge distribution λ0.

    A thin rod of length L lies along the x-axis. It has a uniform linear charge distribution λ0. a)  What is the value of the electric potential at a given point x located to the right of the rod? Take V=0 at infinity.b) What is the strength of the electric field at the point x? 

  • A rod of Length L lies along the x axis with its left end at the...

    A rod of Length L lies along the x axis with its left end at the origin. It has a nonuniform charge density lambda = alpha x, where alpha is a positive constant. Calculate the electric potential at point B, which lies on the perpendicular bisector of the rod a distance b above the x-axis. (Use the following as necessary: alpha, k_, L, b, and d.) v = A wire having a uniform linear charge density lambda is bent into...

  • A charged rod of length L 8.30 m lies centered on the x axis as shown....

    A charged rod of length L 8.30 m lies centered on the x axis as shown. The rod has a linear charge density which varies according to λ-az where a-_65.5 pC/m2 L/2 +L/2 What is the total charge on the rod? 4pts Submit Answer Tries 0/10 What is the x component of the electric field at a point on the z axis a distance of D = 4.40 m from the end of the rod?

  • A long thin rod of length 2.0 m has a linear density λ(x) = Ax where...

    A long thin rod of length 2.0 m has a linear density λ(x) = Ax where x is the distance from the left end of the rod and A=3.0 kg/m. What is the mass (in kg) of the rod ?

  • A uniform thin rod of mass M and length L lies on the positive x-axis with...

    A uniform thin rod of mass M and length L lies on the positive x-axis with one end at the origin.Consider an element of the rod of length dx., and mass dm at point where 0<x<L. a) What is the gravitational field produced by the mass element of any value of X? b)Calculate the total gravitational field produced by the rod. C)Find the gravitational force on a point particle of mass m0 at x0. D) Show that for x0>>L the...

  • An infinite line of positive charge lies along the y axis, with charge density λ =...

    An infinite line of positive charge lies along the y axis, with charge density λ = 1.50 fC/m. A dipole is placed with its center along the x axis at x = 27.0 cm. The dipole consists of two charges ±10.0 pC separated by 2.00 cm. The axis of the dipole makes an angle of 30.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted...

  • 8 A semi-infinite thin rod has a uniform linear positive charge density λ and is located along th...

    8 A semi-infinite thin rod has a uniform linear positive charge density λ and is located along the x-axis between x = x° (>0) and x = +ㆀ. Find the electric field at the origin. Hint: Ja .2 = a-b A.의 dx 1 B. 一巡i E. zero 8 A semi-infinite thin rod has a uniform linear positive charge density λ and is located along the x-axis between x = x° (>0) and x = +ㆀ. Find the electric field at...

  • A thin rod of uniformly distributed total charge Q lies along the x-axis, from x =...

    A thin rod of uniformly distributed total charge Q lies along the x-axis, from x = 0 to x = a. What is the y-component of the electric field at a distance y along the y-axis (where y is not equals to 0)? Show all your workings from first principles

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT