Torque on cylinder due to current in loop

AI Thread Summary
The discussion focuses on calculating the minimum current required to prevent a cylinder from rolling or sliding down an inclined plane in a magnetic field. The cylinder has specific dimensions and mass, and the problem involves understanding the torque produced by the current in the wire loop compared to the torque due to the cylinder's weight and friction. The relevant equation for torque is identified as Torque = IABsin(theta), where I is the current, A is the area, and B is the magnetic field strength. Participants emphasize the importance of drawing a free body diagram to visualize the forces acting on the cylinder. The goal is to achieve a net torque of zero to maintain equilibrium.
Rabbittt
Messages
3
Reaction score
0

Homework Statement


The figure shows a cylinder of mass 3.38 kg, radius 5.20 cm and length 8.12 cm with 70 turns of wire wrapped around it lengthwise, so that the plane of the wire loop is parallel to the incline and contains the axis of the cylinder. What is the least current which while flowing through the loop will prevent the cylinder from rolling or sliding down the inclined plane in the presence of a vertical magnetic field of B = 0.34 T? The angle of inclination http://lon-capa.mines.edu/adm/jsMath/fonts/cmmi10/alpha/100/char12.png = 22.0 degrees. The plane of the windings is parallel to the inclined plane. You should assume that the wires are wound much tighter than the figure implies (ie, assume that the wire loop has the same dimensions as the cylinder).

CylinderOnInclinedPlane.jpg

Homework Equations


Torque= IABsin(theta)

The Attempt at a Solution



I know I need to find the current so the net torque equals zero. I am confident that the torque due to a current is IABsin(theta). However I can't figure out what the torque due to the cylinders weight or friction might be. Any help would be greatly appreciated.
 
Physics news on Phys.org
Draw a free body diagram.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Derivation Of Torque On Current Loop Due To Uniform Magnetic Field
Replies
4
Views
1K
Cylinder wrapped with wire on hill with magnetic field
Replies
3
Views
4K
Torque on a Circular Current Loop under a Misaligned Magnetic Field
Replies
1
Views
933
How to get the magnetic moment for this loop?
Replies
9
Views
2K
Find i such that ##t_{net}=0## for a loop/(Cross prod. help)
Replies
5
Views
2K
Maximum torque for current loop
Replies
3
Views
5K
Torque on current carrying loop/Diploe moment of loop
Replies
3
Views
2K
How Do You Calculate the Magnetic Moment and Torque of a Rectangular Loop?
Replies
3
Views
3K
How to Calculate the X-Component of the Magnetic Moment in a Rectangular Loop?
Replies
3
Views
4K
Torque on a coil in a magnetic field
Replies
1
Views
5K

Hot Threads

Recent Insights

Back
Top