UAE Inspire Science Physics Practice Problems

A solid ball has a greater moment of inertia than a hollow ball with equal diameter and mass when rotating.

Moment of inertia is a measure of how difficult it is to change the angular velocity of a rotating object.

2kg⋅m² for a thin hoop with a 2m radius and a 1kg mass.

Approximately 1.33 kg⋅m² for a cylinder with a 2m radius and 1kg mass

Approximately 0.67 kg⋅m² for a solid sphere with a 2m radius and 1kg mass.

The moment of inertia changes depending on the axis of rotation.

α = net torque / moment of inertia, where α = angular acceleration.

Adding mass increases it a factor of four if placed 0.6m from centre.

Ranking the moment of inertia for a collection of objects from least to greatest based on the object's configuration and mass distribution.

For a series of identical spheres, the number of spheres dictates the moment of inertia's magnitude.

Moments of inertia increase when mass moves further from the axis of rotation (e.g., moving children on a seesaw).

Hoops have larger moments of inertia than similarly sized, equally massive cylinders/spheres due to the mass being concentrated at the outer edge of the object.

A solid cylinder's moment of inertia is larger than that of a sphere, because the mass distribution is generally farther from the rotation axis.

A solid sphere has a smaller moment of inertia than a cylinder with the same mass & diameter, due to its mass distribution.

The choice of rotation axis significantly influences the object's moment of inertia; therefore, the different position of rotation affect the inertia.

Two identical spheres have a greater moment of inertia than a single sphere.

Three identical spheres have a greater moment of inertia than two spheres.

Four identical spheres have a greater moment of inertia than three spheres with the same properties.