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

AI Thread Summary
The discussion revolves around determining the necessary current through a wire wrapped around a cylinder to prevent it from rolling down an inclined plane in the presence of a magnetic field. The cylinder has a mass of 0.250 kg and a length of 0.100 m, with the wire coiled 10 times around it. Participants suggest using Biot-Savart's law and considering torque to solve the problem. The focus is on calculating the current required to balance gravitational forces and magnetic effects. The conversation emphasizes the importance of understanding the interaction between the magnetic field and the current in the wire to achieve equilibrium.
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.
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

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

Hot Threads

Recent Insights

Back
Top