Chapter 13 Skill Building

Chapter 13 Skill Building - MasteringPhysics Assignment...

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MasteringPhysics: Assignment Print View PSS 13.1: Let's Go for a Spin Learning Goal: To practice Problem-Solving Strategy 13.1 for problems involving rotational dynamics. A uniform board of mass and length is pivoted on one end and is supported in the horizontal position by a rope attached to the other end. Another rope, attached to the board a distance from the pivot point, is being pulled straight down with a constant force of magnitude . Suddenly, the rope attached to the end of the board breaks. What is the instantaneous angular acceleration of the board? MODEL: Model the object as a simple shape. VISUALIZE: Draw a pictorial representation to clarify the situation, define cordinates and symbols, and list known information. Identify the axis about which the object rotates. Identify forces and determine their distance from the axis. For most problems it will be useful to draw a free-body diagram. Identify any torques caused by the forces and the signs of the torques. SOLVE: The mathematical representation is based on Newton's 2nd law for rotational motion: . Find the moment of inertia in Table 13.13 or, if needed, calculate it as an integral or by using the Parallel-Axis Theorem. Use rotational kinematics to find angles and angular velocities. ASSESS: Check that your result has the correct units, is reasonable, and answers the question. Identify the object for which you will write the equation of Newton's 2nd law. Make reasonable simplifying assumptions. Part A

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MasteringPhysics: Assignment Print View When you write Newton's 2nd law for the rotational motion of the board, how many nonzero torques will it contain? ANSWER: one two three four Although the reaction force acting on the board at the pivot point is not zero, its torque about that point is zero because that force is applied at the axis of rotation, and the moment arm is zero.

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This note was uploaded on 11/29/2010 for the course PHYSICS PHYS310 taught by Professor Coleman during the Spring '10 term at Rutgers.

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Chapter 13 Skill Building - MasteringPhysics Assignment...

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