Rotational Dynamics and Equilibrium Principles

Torque

Force causing angular acceleration, depends on application point.

Equilibrium

State where net forces and torques are zero.

Center of Gravity

Point where weight acts, affecting torque calculations.

Moment of Inertia

Resistance of an object to angular acceleration.

Rotational Work

Work done by torque through an angle in radians.

Rotational Kinetic Energy

Energy due to rotation, depends on angular speed.

Angular Momentum

Product of moment of inertia and angular velocity.

Conservation of Angular Momentum

Angular momentum remains constant without external torque.

Rigid Body

Object with fixed shape, no deformation under force.

Translational Acceleration

Change in linear velocity of an object.

Angular Acceleration

Rate of change of angular velocity, in rad/s².

Fulcrum

Pivot point around which a lever rotates.

Seesaw Example

Two children balance by equalizing torques.

Diving Board Example

Calculates forces exerted by fulcrum and bolt.

Rotational Motion

Movement of an object around an axis.

Fixed Axis

Axis that does not move during rotation.

SI Unit of Torque

Newton-meter (N·m), measures rotational force.

SI Unit of Work

Joule (J), energy transferred by force.

SI Unit of Angular Momentum

kg·m²/s, measures rotational motion.

Rolling Motion

Combination of translational and rotational motion.

Inclined Plane

Surface tilted at an angle, affects motion.

Thin-Walled Hollow Cylinder

Cylinder with mass concentrated at radius.

Solid Cylinder

Cylinder with mass distributed throughout volume.

Angular Velocity

Rate of rotation, measured in radians per second.

Right-Hand Rule

Method to determine direction of angular quantities.