The moment of inertia of a thin circular ring about an axis through its center is I = MR^2.

The moment of inertia of a thin circular ring about an axis through its center is I = MR^2.

The moment of inertia of a thin circular ring about an axis through its center is I = MR^2.

The moment of inertia of a thin circular ring about an axis through its center is I = MR^2.

The moment of inertia of a thin rod about an axis through its center is given by I = (1/12)ML^2.

The moment of inertia of a thin rod about an end is given by I = (1/3)ML^2.

The moment of inertia of a thin spherical shell about an axis through its center is I = 2/3 MR^2.

The moment of inertia of a thin wire bent in the shape of a semicircle about the diameter is I = 3/8 MR^2.

The moment of inertia of a rectangular plate about an axis through its center and parallel to side a is I = 1/3 Mb^2.

The moment of inertia of a uniform thin circular plate about an axis through its center and perpendicular to its plane is I = 1/2 MR^2.

The moment of inertia of a square plate about an axis through its center and parallel to one side is I = 1/12 Ma².

The moment of inertia of a triangular lamina about an axis through its centroid is I = 1/12 Mb^2.

Angular momentum L is given by L = Iω, where ω is the angular velocity.

The relationship is given by v = ωr, where r is the radius of the rotation.

The relationship is given by τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration.

Torque = Force × Distance = 12 N × 0.25 m = 3 Nm.

Torque = Force × Distance = 8 N × 0.75 m = 6 Nm.

Torque = Force × Distance = 60 N × 0.75 m = 45 Nm.

Torque = Force × Distance = 60 N × 0.75 m = 45 Nm.

Torque (τ) = Force (F) × Distance (r) = 10 N × 2 m = 20 Nm.

Torque = Force × Distance × sin(θ) = 15 N × 0.5 m × sin(90°) = 15 Nm.

Torque = Force × Distance × sin(90°) = 25 N × 0.5 m × 1 = 12.5 Nm.

The unit of angular momentum is kg·m^2/s.

The unit of torque in the SI system is Newton-meter (Nm).

As the object descends, its gravitational potential energy is converted into kinetic energy.

The acceleration of the center of mass of a wheel rolling down an incline is g sin(θ).

The point of contact with the ground is momentarily at rest when the wheel rolls without slipping.

The distance traveled by the center of mass d is equal to the product of the radius R and the angle rotated θ in radians, i.e., d = Rθ.

The mass of the object does not affect the torque; torque depends on the force, distance from the pivot, and angle of application.

The mass of the object does not affect the torque; torque depends on force, distance, and angle.