What is the Magnetic Field Needed to Tilt a Rectangular Loop?

ervillalobos
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Homework Statement


The rectangular loop has a mass of .15 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.2 A in the direction shown. Find the maggnitude and direction of the magnetic field parallel to the y-axis that will cause the loop to swing up until it's plane makes an angle of 30 degrees with the yz plane.


Homework Equations



torque=IBAsin(phi)
I=current
B= Magnitude
30 degrees
A= area (8cm*6cm)=48cm^2 => .48m^2

The Attempt at a Solution



using the right hand rule i know the direction is in the + y-direction.
with the equation i have, i don't how to fit the mass of the loop. so then i was trying to find the force but lack enough information from the problem. please help!
 
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side ab is on the z-axis
 
NEED SERIOUS HELP!
ervillalobos said:

Homework Statement


The rectangular loop has a mass of .15 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.2 A in the direction shown. Find the maggnitude and direction of the magnetic field parallel to the y-axis that will cause the loop to swing up until it's plane makes an angle of 30 degrees with the yz plane.


Homework Equations



torque=IBAsin(phi)
I=current
B= Magnitude
30 degrees
A= area (8cm*6cm)=48cm^2 => .48m^2

The Attempt at a Solution



using the right hand rule i know the direction is in the + y-direction.
with the equation i have, i don't how to fit the mass of the loop. so then i was trying to find the force but lack enough information from the problem. please help!
 
side ab lies on the z axis
 
how can i use mass in this problem?
 
ervillalobos said:

Homework Statement


The rectangular loop has a mass of .15 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.2 A in the direction shown. Find the maggnitude and direction of the magnetic field parallel to the y-axis that will cause the loop to swing up until it's plane makes an angle of 30 degrees with the yz plane.


Homework Equations



torque=IBAsin(phi)
I=current
B= Magnitude
30 degrees
A= area (8cm*6cm)=48cm^2 => .48m^2

The Attempt at a Solution



using the right hand rule i know the direction is in the + y-direction.
with the equation i have, i don't how to fit the mass of the loop. so then i was trying to find the force but lack enough information from the problem. please help!

The mass of the loop comes in as part of the gravitational force acting on the loop. While the magnetic field is responsible for the torque in one direction, gravity provides an opposing torque that keeps the loop in equilibrium.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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