ch09-rotation-of-rigid-bodies - MasteringPhysics 11/3/08...

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11/3/08 5:59 PM MasteringPhysics Page 1 of 16 http://session.masteringphysics.com/myct?productID=22377 [ Print View ] Introductory mechanics Chapter 09 - Rotation Of Rigid Bodies Due at 11:59pm on Tuesday, November 4, 2008 View Grading Details Angular Motion with Constant Acceleration Learning Goal: To understand the meaning of the variables that appear in the equations for rotational kinematics with constant angular acceleration. Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or off, the spinning parts tend to change the rate of their rotation with virtually constant angular acceleration. Many introductory problems in rotational kinematics involve motion of a particle with constant, nonzero angular acceleration. The kinematic equations for such motion can be written as and . Here, the symbols are defined as follows: is the angular position of the particle at time . is the initial angular position of the particle. is the angular velocity of the particle at time . is the initial angular velocity of the particle. is the angular acceleration of the particle. is the time that has elapsed since the particle was located at its initial position. In answering the following questions, assume that the angular acceleration is constant and nonzero: . Part A True or false: The quantity represented by is a function of time (i.e., is not constant). ANSWER: true false Part B True or false: The quantity represented by is a function of time (i.e., is not constant). ANSWER: true false Keep in mind that represents an initial value, not a variable. It refers to the angular position of an object at some initial moment. Part C True or false: The quantity represented by is a function of time (i.e., is not constant). [ Print ]
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11/3/08 5:59 PM MasteringPhysics Page 2 of 16 http://session.masteringphysics.com/myct?productID=22377 ANSWER: true false Part D True or false: The quantity represented by is a function of time (i.e., is not constant). ANSWER: true false The angular velocity always varies with time when the angular acceleration is nonzero. Part E Which of the following equations is not an explicit function of time ? Keep in mind that an equation that is an explicit function of time involves as a variable. ANSWER: An equation that is not an explicit function of time is useful when you do not know or do not need the time. Part F In the equation , what does the time variable represent? Choose the answer that is always true. Several of the statements may be true in a particular problem, but only one is always true. ANSWER: the moment in time at which the angular velocity equals the moment in time at which the angular velocity equals the time elapsed from when the angular velocity equals until the angular velocity equals Consider two particles A and B. The angular position of particle A, with constant angular acceleration, depends on time according to
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This note was uploaded on 11/30/2009 for the course PHYS physics taught by Professor Physics during the Spring '09 term at Abraham Baldwin Agricultural College.

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ch09-rotation-of-rigid-bodies - MasteringPhysics 11/3/08...

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