Final answer:
Without additional details, it's impossible to determine the measure of angle 4 when line AB is parallel to line CD. However, angles and their relationships, such as the 90° angle between tangential velocity and centripetal force vectors or the 45° optimum angle for projectile range, are crucial in physics and geometry.
Step-by-step explanation:
To answer the student's question regarding the measure of angle 4 when line AB is parallel to line CD, more information is necessary to provide an accurate answer, such as the angles' relationship to each other or additional lines and points in the configuration. However, using the reference information you provided:
- The angle formed between the vectors of tangential velocity and centripetal force is 90° because these two vectors are always perpendicular to each other.
- When the angle of a projectile is either 0° or 90°, its range is equal to zero.
- The optimum angle for a projectile to achieve maximum distance when launched is 45°.
- The x-component of a vector with angle will be greater than its y-component when the angle is less than 45°.
- If a point on a rotating disc (CD) makes one complete revolution, it covers an angle of 360°.
- The perpendicular component of a box's weight on an inclined plane is at its maximum when the angle of incline is 90°.
Unfortunately, without additional details for the specific configuration of line AB and CD, we cannot determine the measure of angle 4. However, the mentioned principles and angles can be used to solve a variety of physics and geometry problems involving angles and vectors.