Mechanics

Calculates the time for one full swing of a pendulum.

Total mechanical energy (sum of kinetic and potential) of an object in SHM.

Relates the moment of inertia of a body about any axis to the moment of inertia about a parallel axis through the center of mass.

Position of an oscillating mass at any time $t$.

The rotational equivalent of mass for a uniform solid sphere rotating about its diameter.

The minimum speed needed for an object to break free from the gravitational attraction of a massive body.

Calculates the work when the applied force changes with position.

The rotational inertia of a uniform thin rod rotating about an axis through its center perpendicular to its length.

In an isolated system, the total momentum remains constant during a collision.

Newton's universal law of gravitation, including the direction of force (attractive).

A measure of the quantity of rotation of an object, taking into its mass and speed relative to an axis.

Total time an object remains in the air when projected at an angle.

The highest vertical point reached by a projectile.

The horizontal distance covered by the projectile.

The speed at which a vehicle can safely turn on a banked road without relying on friction.

The change in momentum resulting from a force acting over a time interval.

Total momentum remains constant in the absence of an external force.

Ratio of relative velocity after collision to relative velocity before collision.

The property of a body to resist changes in its rotational motion.

Work done in bringing a mass from infinity to a point in a gravitational field.

Velocity required for a satellite to stay in a circular orbit.

The square of the time period of a planet is proportional to the cube of the semi-major axis.

The rate of doing work expressed as the dot product of force and velocity.

Minimum velocity required to escape Earth's gravity.