Pg_rot_g_shm - Physics 81 – Fundamental Physics 1 Lecture First Semester AY 2009-2010 Problems on Rotational Dynamics Equilibrium Gravitation and

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Unformatted text preview: Physics 81 – Fundamental Physics 1 Lecture First Semester AY 2009-2010 Problems on Rotational Dynamics, Equilibrium, Gravitation and Simple Harmonic Motion Direction: Analyze the problems well . Solve them completely completely completely completely and neatly neatly neatly neatly in bond in bond in bond in bond papers. papers. papers. papers. Box Box Box Box your final answers. Lastly, do not forget to staple staple staple staple the papers. Thanks for the usual cooperation! Warning: I will not check solutions that are identical Warning: I will not check solutions that are identical Warning: I will not check solutions that are identical Warning: I will not check solutions that are identical/similar /similar /similar /similar/copied verbatim /copied verbatim /copied verbatim /copied verbatim with your with your with your with your classmates. classmates. classmates. classmates. By doing so, your grade for the problem set will be 0 (zero) even if you are By doing so, your grade for the problem set will be 0 (zero) even if you are By doing so, your grade for the problem set will be 0 (zero) even if you are By doing so, your grade for the problem set will be 0 (zero) even if you are the source of the solution. the source of the solution. the source of the solution. the source of the solution. You are required to answer the following questions: A.3, A.4, B.2, B.3, C.3, C.7, C.9, D.3, E.1, F.2, G.3, G.6, H.2, and H.4. Submit your problem sets on September 11, 2009 (Friday), 1-3:45 pm. Late submissions will not be accepted no matter what the reason is. A . ROTATIONAL KINEMATICS 1. A cylinder 0.150m in diameter rotates in a lathe at 700rpm. What is the tangential speed of the surface of the cylinder? The proper tangential speed for machining cast iron is about 0.60m/s. At how many rpm should a piece of stock 0.090m in diameter be rotated in a lathe to produce this tangential speed? 2. A diver makes 2.5 complete revolutions on the way from a 10-m platform to the water below. Assuming zero initial vertical velocity, calculate the average angular velocity. 3. An airliner arrives at the terminal, and its engines are shut off. The rotor of one of the engines has an initial clockwise angular speed of 2 000 rad/s. The engine’s rotation slows with an angular acceleration of magnitude 80.0 rad/s 2 . (a) Determine the angular speed after 10.0 s. (b) How long does it take for the rotor to come to rest? 4. The axle through which a rotating wheel has turned in time t is given by θ = 6.0t – 8.0t 2 +4.5t 4 , ( θ- radians & t - sec.) What is the average ω and the average α between t=2.0s and t=3.0s? Determine the expression for the instantaneous ω and the instantaneous α . Evaluate ω and α at t=3.0s....
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This note was uploaded on 10/03/2009 for the course COL PHYS 81 taught by Professor Tapia during the Spring '09 term at University of Santo Tomas.

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Pg_rot_g_shm - Physics 81 – Fundamental Physics 1 Lecture First Semester AY 2009-2010 Problems on Rotational Dynamics Equilibrium Gravitation and

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