Based on the principle of moment of inertia, which statement correctly describes how an object’s rotational inertia is affected by its mass distribution?

• The moment of inertia decreases when mass is placed closer to the axis of rotation.

• The moment of inertia increases when mass is placed farther from the axis of rotation.

• The moment of inertia remains constant regardless of mass distribution.

• The moment of inertia decreases when torque is applied to the axis of rotation.

Which of the following statements correctly describe the principle of moment of inertia?

(SELECT ALL THAT APPLY)

• It depends on both the mass of an object and how that mass is distributed relative to the axis of rotation.

• It represents an object’s resistance to changes in its rotational motion or angular velocity.

• It is analogous to mass in linear motion, requiring more torque to change angular velocity when larger.

• It depends only on the torque applied and not on the distribution of mass.

A solid disk of mass 2 kg and radius 0.5 m rotates about its central axis. What is its moment of inertia?

(ANSWER WITH UNIT ONLY)

Which statement best describes the principle of torque based on its definition as a cross product?

• Torque is the product of mass and acceleration acting on an object.

• Torque is the product of force and distance measured along the direction of the force.

• Torque is the vector product of the position vector and the force, determining rotational effect.

• Torque is the scalar product of the position vector and the force, determining linear motion.

Which of the following statements correctly describe the principle of torque as a cross product?

(SELECT ALL THAT APPLY)

• Torque is a vector quantity that causes rotational motion about an axis.

• The magnitude of torque depends on the force, the lever arm, and the sine of the angle between them.

• The direction of torque is determined using the right-hand rule.

• Torque is calculated by multiplying the force and distance in the same direction.

A force of 20 N is applied at the end of a 0.5 m wrench at an angle of 90° to the handle. What is the magnitude of the torque produced about the pivot point? (ANSWER WITH UNIT ONLY)

Which statement best describes why rotational quantities are represented as vectors?

• Because they only have magnitude and no direction.

• Because they describe both the size and direction of rotational motion.

• Because they depend only on the mass of the rotating object.

• Because they are always perpendicular to the axis of rotation.

Which of the following statements correctly describe rotational quantities using vectors?

(SELECT ALL THAT APPLY)

• Rotational quantities have both magnitude and direction along the axis of rotation.

• The direction of rotational vectors is determined using the right-hand rule.

• Angular velocity and angular acceleration are examples of rotational vector quantities.

• Rotational quantities are always measured in linear units of distance and time.

How are angular velocity, angular acceleration, and torque related when described as vectors?

• They all act along the axis of rotation and follow the right-hand rule for direction.

• They all act perpendicular to the axis of rotation and follow the left-hand rule for direction.

• They all act along the plane of rotation and have no specific direction.

• They all act opposite to the axis of rotation and depend only on linear speed.

Which condition must be satisfied for a system to be in static equilibrium?

• The net force acting on the system must be zero.

• The system must be moving at a constant velocity.

• The net torque acting on the system must be increasing.

• The system must have unbalanced forces acting on it.