Translational Acceleration: Results in linear motion, changes the object's position in a straight line. | Rotational Acceleration: Results in rotational motion, changes the object's angular velocity around an axis.

1. Determine the induced current (I) in the conductor. 2. Identify the magnetic field vector ($\vec{B}$). 3. Define the displacement vector ($\vec{d}$). 4. Integrate $I(\vec{d} \times \vec{B})$ over the length of the conductor to find the magnetic force $\vec{F}_{B}$.

1. Identify all forces acting on the loop (including magnetic force). 2. Calculate the net force ($\vec{F}_{net}$). 3. Use $\vec{F}_{net} = m\vec{a}$ to find the acceleration ($\vec{a}$). 4. Use kinematic equations to predict the loop's motion.

The vector representing the force exerted on a current-carrying conductor by a magnetic field.

The electric current generated in a conductive loop due to a changing magnetic flux.

A tiny vector representing a small segment of the conductor's length, used in calculating magnetic force.

A vector field that describes the magnetic influence of electric currents and magnetic materials.

A measure of the amount of magnetic field lines passing through a given area. It's the product of the magnetic field strength and the area perpendicular to the field.

Acceleration in a straight line, resulting in a change in linear velocity.

Acceleration around an axis, resulting in a change in angular velocity.