Magnetic force, coefficient of friction, forces in equilibrium

In summary, we have a 1.0 kg copper rod on two horizontal rails with a current of 50 A. The coefficient of static friction between the rod and rails is 0.60. We need to determine the smallest magnetic field magnitude and angle (relative to the vertical) that will cause the rod to start sliding. Before continuing, it is important to draw a force diagram and list all the forces acting on the rod.
  • #1
wushumaster
10
0
A 1.0 kg copper rod rests on two horizontal rails 1.0 m apart and carries a current of 50 A from one rail to the other. The coefficient of static friction between rod and rails is 0.60. What are the (a) Magnitude and
(b) Angle (relative to the vertical) of the smallest magnetic field that puts the rod on the verge of sliding?

I can get what B times sin theta is by setting mu times mg = iLBsin theta, but how to get B or theta?
 
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  • #2
wushumaster said:
A 1.0 kg copper rod rests on two horizontal rails 1.0 m apart and carries a current of 50 A from one rail to the other. The coefficient of static friction between rod and rails is 0.60. What are the (a) Magnitude and
(b) Angle (relative to the vertical) of the smallest magnetic field that puts the rod on the verge of sliding?

I can get what B times sin theta is by setting mu times mg = iLBsin theta, but how to get B or theta?
Before we go farther with this, I don't think this equation is correct. Have you drawn a free-body or force diagram for the rod? Since it can be difficult to post a figure here, I'll just ask you to list here all the forces acting on the rod -- and you should still draw a force diagram for yourself.
 

Related to Magnetic force, coefficient of friction, forces in equilibrium

1. What is magnetic force?

Magnetic force is a force that is exerted between magnets or between a magnet and a magnetic material. It is caused by the interaction of magnetic fields.

2. How is the coefficient of friction calculated?

The coefficient of friction is calculated by dividing the force required to move an object over a surface by the weight of the object. It is a measure of the resistance between two surfaces in contact.

3. What are the different types of forces in equilibrium?

The different types of forces in equilibrium are static equilibrium, dynamic equilibrium, and mechanical equilibrium. Static equilibrium occurs when an object is at rest and all forces acting on it are balanced. Dynamic equilibrium occurs when an object is moving at a constant velocity and all forces are balanced. Mechanical equilibrium occurs when an object is in a state of rest or constant motion with no acceleration.

4. How does magnetic force affect the motion of an object?

Magnetic force can either attract or repel an object depending on the orientation of the magnetic fields. If the magnetic fields are in the same direction, the object will experience a repulsive force and if they are in opposite directions, the object will experience an attractive force. This force can cause the object to move in a circular or curved path.

5. What factors affect the coefficient of friction?

The coefficient of friction can be affected by the type of materials in contact, the roughness of the surfaces, and the amount of force applied. It can also vary with temperature and the presence of lubricants between the surfaces.

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