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Rotational Motion
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Rotational Motion
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25 Questions

1. What is the main difference between linear motion and rotational motion?
2. Where is the center of mass of a binary star system with a white dwarf star of mass (M) and a Sun-like star of mass (m), separated by a distance (L)?
3. What is the kinetic energy of the space junk in Question 224?
4. A piece of space junk has a mass of 3 kg and is orbiting the Earth every 90 min at an altitude of 300 km. The Earth’s radius is 6.38 × 106 m. What is the junk’s orbital velocity?
5. What is Kepler’s first law of planetary motion?
6. When a skater performs a spin on ice with his arms outstretched, what happens when he brings his arms close to his body?
7. What is the moment of inertia of a solid cylinder around an axis parallel to its central axis but along its outside surface?
8. The study of rotational motion uses what coordinate system?
9. Why is a person’s weight greater at the Earth’s equator than at its poles?
10. On a moving Ferris wheel, at what point will a rider’s weight be greatest? At what point will it be the least?
11. If a ball attached to a string is being twirled in a circle, what happens to the ball if the string is suddenly cut?
12. What are the angular velocities of the hour hand and the minute hand of Big Ben in the tower of Westminster Palace in London, England?
13. What is moment of inertia?
14. What happens to the body on which a torque is acting?
15. A bead slides freely and without friction on a circular wire. If the wire is rotated about a diameter, what will happen to the bead?
16. A race car is speeding on a circular track. It takes 2 min for the race car to finish one circuit of the 1-km radius track. At what speed is the car moving?
17. Why is torque a vector?
18. A roller coaster car is moving around a circular loop of the track. At what point is the car’s speed fastest? At what point is the car’s speed the slowest? (Neglect friction.)
19. A car is rounding a flat unbanked curve. At what speed can it go without being thrown from the curve? (Assume the coefficient of friction between the tires and the road is 0.9, the radius of the curve is 50 m, and the mass of the car is 2,000 kg.)
20. When a body is moving in circular motion, what accelerations can be acting on it?
21. Newton’s first law states that a body is in equilibrium if the net forces acting on it are zero. How are torques included in this law?
22. How much power is a windmill capable of generating in a steady breeze that causes the blades to rotate at 200 rpm? (Assume each of the mill’s three 10-m long blades has a mass of 2,000 kg and neglect all friction losses.)
23. A proposed “space elevator” would carry materials from the ground to an orbit of 300 km. At what speed would the orbiting platform have to move to keep the elevator perpendicular above the Earth platform?
24. How can one tell if a star has a companion or planet system?
25. Why must radians be used in rotational motion problems?