b Four identical thin rods, each with mass m and length L, are connected as shown...
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b Four identical thin rods, each with mass m and length L, are connected as shown to form a square with mass m. Note that the moment of inertia for each rod is Icm = mL²/12. (Remember that this is for an axis perpendicular to the rod and passing from the midpoint.) You are going to use the parallel-axis theorem to compute the moment of inertia of the square object around three possible axes shown on the figure. (a) Find the moment of inertia around the axis a that passes from midpoints of opposite sides. Ia (b) Find the moment of inertia around the axis b that passes from opposite corners of the square. (Hint: Moments of inertia do not depend on the distribution of mass along the axis direction.) Ib (c) Find the moment of inertia around the axis c, which is perpendicular to the square and passes from the center point. Ic = b Four identical thin rods, each with mass m and length L, are connected as shown to form a square with mass m. Note that the moment of inertia for each rod is Icm = mL²/12. (Remember that this is for an axis perpendicular to the rod and passing from the midpoint.) You are going to use the parallel-axis theorem to compute the moment of inertia of the square object around three possible axes shown on the figure. (a) Find the moment of inertia around the axis a that passes from midpoints of opposite sides. Ia (b) Find the moment of inertia around the axis b that passes from opposite corners of the square. (Hint: Moments of inertia do not depend on the distribution of mass along the axis direction.) Ib (c) Find the moment of inertia around the axis c, which is perpendicular to the square and passes from the center point. Ic =
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Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
Posted Date:
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