ASE 365 HW 1 - a force applied to m to the downward displacement of m Since the problem is asking for an equivalent spring constant do you need to

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Homework 1 1. Problem 1.3 in the textbook. This problem gives you the opportunity to exercise your skills in kinematics, free-body diagrams, and energy methods. 2. Problem 1.5 in the textbook. We started this problem as an example problem in the lecture. 3. Problem 1.8 in the textbook. The book is suggesting that you write one equation related to forces and translation, and another related to moments and rotation. How many components does the force at the point of contact have? You will need to relate θ and ψ kinematically—think about how far the contact point moves around the disk and around the circular surface on which the disk rolls. 4. Problem 1.13 in the textbook. The equivalent spring constant must relate
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Unformatted text preview: a force applied to m to the downward displacement of m . Since the problem is asking for an equivalent spring constant, do you need to do a dynamic or static analysis? Is the (massless) bar in translation or rotation? 5. Verify the expressions in Table 1.2 for the equivalent spring constants for a uniform cantilever beam with (a) a force, and (b) a moment (so you need a torsional spring constant), at the free end. Derive the beam deflection from the ordinary differential equation , where is the bending moment in the beam resulting from the concentrated force or moment applied at the free end. 6. Problem 1.29 in the textbook. Are the beam and the spring acting in parallel or in series?...
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This note was uploaded on 09/18/2011 for the course ASE 365 taught by Professor Staff during the Spring '10 term at University of Texas at Austin.

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