What Current Prevents the Cylinder from Rolling Down the Inclined Plane?

Click For Summary
SUMMARY

The discussion focuses on determining the necessary current (I) that must flow through a wire wrapped around a cylinder to prevent it from rolling down an inclined plane. The cylinder has a mass of 0.250 kg and a length of 0.100 m, with the wire coiled 10 times around it. A vertical magnetic field of 0.500 T is present, and the angle of the incline (θ) is crucial for calculations. Participants suggest using Biot-Savart's law and considering torque to solve the problem effectively.

PREREQUISITES
  • Understanding of torque and its application in rotational motion
  • Familiarity with Biot-Savart's law for calculating magnetic fields
  • Knowledge of the relationship between current, magnetic fields, and forces on conductors
  • Basic principles of electromagnetism and mechanics
NEXT STEPS
  • Study the application of Biot-Savart's law in various scenarios
  • Learn how to calculate torque in rotational systems
  • Research the effects of magnetic fields on current-carrying conductors
  • Explore the dynamics of rolling motion and static equilibrium
USEFUL FOR

Students in physics, particularly those studying electromagnetism and mechanics, as well as educators looking for practical examples of applying theoretical concepts in problem-solving.

carah90
Messages
2
Reaction score
0

Homework Statement


The figure shows a tree cylinder of mass m = 0.250 kg and length L = 0.100 m. In a plane containing the cylinder axis of symmetry a conducting wire has been longitudinally wrapped 10.0 times around the cylinder. The cylinder is released along an inclined plane (angle θ), so that the plane formed by the wire coil is parallel to the inclined plane. How much current(I) should go through the wire so that the cylinder does not begin to roll down the plane, if a vertical magnetic field B = 0.500 T intersect with the inclined plane?

Here's a link to the figure: https://lh3.googleusercontent.com/_Z0fi2BqoS24/TVFxISWgGbI/AAAAAAAAAuY/U3-f2ua1Fnc/Picture%201.png

Homework Equations


The Attempt at a Solution


I don't know where to begin. Maybe using Biot-Savart's law?
Thanks in advance:)
 
Last edited by a moderator:
Physics news on Phys.org
Think torque.
 
okey. thanx. will give it a try.
 

Similar threads

Cylinder wrapped with wire on hill with magnetic field
  • · Replies 3 ·
Replies
3
Views
4K
Rolling Down an Off Center Cylinder on an Incline
  • · Replies 2 ·
Replies
2
Views
1K
Torque on cylinder due to current in loop
  • · Replies 1 ·
Replies
1
Views
3K
What is the Velocity of a Cylinder on an Inclined Plane with a Magnetic Field?
  • · Replies 30 ·
2
Replies
30
Views
3K
Magnetic field in the case of a thin magnetized cylinder
  • · Replies 11 ·
Replies
11
Views
3K
Cylinders rolling down without slipping
  • · Replies 8 ·
Replies
8
Views
2K
How Does Angular Velocity of a Rolling Cylinder Change Over Time?
  • · Replies 5 ·
Replies
5
Views
2K
Magnetic field outside a conducting hollow cylinder
  • · Replies 8 ·
Replies
8
Views
5K
What is the least current to prevent the cylinder from rolling down the incline?
  • · Replies 3 ·
Replies
3
Views
8K
Find i such that ##t_{net}=0## for a loop/(Cross prod. help)
  • · Replies 5 ·
Replies
5
Views
2K