lecture+notes+23 - 14:440:222 Dynamics(Lecture Note#23...

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14:440:222 Dynamics (Lecture Note #2 3 ) Instructor: Prof. Peng Song Rutgers University
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Today’s Lecture Conservation of energy
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The torsion springs located at the top of the garage door wind up as the door is lowered. When the door is raised, the potential energy stored in the spring is transferred into the gravitational potential energy of the door’s weight, thereby making it easy to open. Are parameters such as the torsional spring stiffness and initial rotation angle of the spring important when you install a new door? Applications
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Are the gravitational potential energy of the hood and the torsional spring stiffness related to each other? If so, how? Two torsional springs are used to assist in opening and closing the hood of the truck . Assuming the springs are uncoiled when the hood is opened, can we determine the stiffness of each spring so that the hood can easily be lifted, i.e., practically no external force applied to it, when a person is opening it? Applications (cont’d)
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The conservation of energy theorem is a “simpler” energy method (recall that the principle of work and energy is also an energy method) for solving problems. Once again, the problem parameter of distance is a key indicator for when conservation of energy is a good method to solve a problem. If it is appropriate for the problem, conservation of energy is easier to use than the principle of work and energy.
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