Partial Solns Manual - Andy Ruina

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18 Chapter 9.3. Elementary vibration analysis Problem 9.3.69.3.6 A spring k with rest length `0 is attachedto a mass m which slides frictionlesslyon a horizontal ground as shown.At time t D 0 the mass is released fromrest with the spring stretched a distance d.Measure the mass position x relative to thewall.a) What is the acceleration of the massjust after release?b) Find a differential equation whichdescribes the horizontal motion x ofthe mass.c) What is the position of the mass atan arbitrary time t?d) What is the speed of the mass whenit passes through x D `0 (the positionwhere the spring is relaxed)?Filename:s97f1l 0Problem 9.6dmIntroduction to Statics and Dynamics, c Andy Ruina and Rudra Pratap 1992-2009.
Chapter 9.3. Elementary vibration analysis Problem 9.3.6 (continued) 19Introduction to Statics and Dynamics, c Andy Ruina and Rudra Pratap 1992-2009.
Page 1 and 2: Partial Solutions ManualRuina and P
Page 3 and 4: 9.1.15 Consider a force F .t/ actin
Page 5 and 6: Chapter 9.1. Force and motion in 1D
Page 11 and 12: Chapter 9.2. Energy methods in 1D P
Page 17: Chapter 9.2. Energy methods in 1D P
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Page 27 and 28: Chapter 9.4. Coupled motion in 1D P
Page 33 and 34: Chapter 9.5. 1D Collisions Problem
Page 39 and 40: 10.1.22 An object C of mass 2 kg is
Page 41 and 42: Chapter 10.1. Dynamics of a particl
Page 57 and 58: Chapter 10.2. Momentum and energy f
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Page 63 and 64: Chapter 11.1. Coupled motions of pa
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Chapter 11.2. Collisions and explos
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Chapter 12.1. 1D constrained motion
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Chapter 12.1. 1D constrained motion
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78 Chapter 12.2. 1D motion with 2D
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100 Chapter 13.4. 2D rigid-object a
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102 Chapter 13.6. Dynamics of rigid
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14.1.1 A disk of radius R is hinged
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112 Chapter 14.1. Rigid object kine
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114 Chapter 14.2. Dynamics of a rig
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120 Chapter 14.3. Kinematics of rol
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126 Chapter 14.4. Mechanics of cont
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15.1.5 Picking apart the polar coor
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138 Chapter 15.1. Polar coordinates
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140 Chapter 15.1. Polar coordinates
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142 Chapter 15.3. General expressio
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156 Chapter 15.4. Kinematics of 2-D
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Partial Solns Manual - Andy Ruina

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