About the Exam…

1. About the Exam… • EXAM will begin promptly at11:00 am • Closed book, closed notes • Bring a pencil and calculator • Paper will be provided

2. Study Strategies • Start now! • Do lots (and lots) of practice problems • Study with a class mate • Get enough sleep

3. Test taking strategies • Look through the entire test to see what problems you immediately know how to do and do them first! • Check your numerical answers to see that they do make sense • Make sure your answers include correct units • If you do not know how to do a problem, write down what you do know

4. Chapter 10 - Potential Energy & Energy Conservation Conservative & Nonconservative Forces Potential Energy Net Work-Energy Theorem Mechanical Energy Conservation Potential Energy Curves Conservation of Energy Energy Conservation in Elastic Collisions Chapter 11 - Rotation Angular Displacement, Velocity, & Acceleration Kinematic Equations for Rotation Relating Rotational & Translational Quantities Outline • Rotational Kinetic Energy • Rotational Inertia • Torque Defined • Newton’s 2nd Law for Rotations • Net Work-Kinetic Energy Theorem for Rotations Chapter 12 - Complex Rotations • Vector Product • Torque as a Vector Product • Newton’s 2nd Law for Rotations • Rotational Momentum • Rotational Momentum of a System • Conservation of Rotational Momentum

5. Q1 A small object of mass m, on the end of a light cord, is held horizontally at a distance r from a fixed support as shown. The object is then released. What is the tension in the cord when the object is at the lowest point of its swing? • mg/2 • mg • 2mg • 3mg • mgr r m

6. Q2 A ladybug sits at the outer edge of a turn table, and a gentlemanbug sits halfway between her and the axis of rotation. The turntable makes a complete revolution once each second. The gentlemanbug’s tangential speed is • half the ladybug’s • the same as the ladybug’s • twice the ladybug’s • impossible to determine

7. Q3 A force with a given magnitude is to be applied to a wheel. The torque can be maximized by: • applying the force near the axle, radially outward from the axle • applying the force near the rim, radially outward from the axle • applying the force near the axle, parallel to a tangent to the wheel • applying the force at the rim, tangent to the rim • applying the force at the rim, at 45 to the tangent

8. Q4 The rotational inertia of a body tends to cause the body to: • produce more torque • rotate slower over time • maintain its rotational motion • change its angular momentum • change its rotational kinetic energy

9. Q5 Three identical point masses of massmare fastened to a massless rod of length L as shown. The rotational inertia about one end of the rod of this array is: • mL2/2 • mL2 • 3mL2/2 • 5mL2/4 • 3mL2 m m m L/2 L/2

10. Q6 A hoop (Ih= mR2), a uniform disk (Id= 0.5 mR2), and a uniform sphere (Is= 0.4mR2), all with the same mass and outer radius, start with the same speed and roll without slipping up identical inclines. Rank the objects according to how high they go, least to greatest. • hoop, disk, sphere • disk, hoop, sphere • sphere, hoop, disk • sphere, disk, hoop • all three tie

11. Q7 Josiah, with his arms at his sides, is spinning on a light frictionless platform. When he extends his arms: • his angular velocity increases • his angular velocity remains the same • his rotational inertia decreases • his rotational kinetic energy increases • his angular momentum remains the same