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M, + Axis B Problem 3: Three identical point masses of mass M are fixed at the corners of an equilateral triangle of sides I as shown. Axis A runs through a point equidistant from all three masses, perpendicular to the plane of the triangle. Axis B runs through M, and is perpendicular to the plane of the triangle. Axes C, D, and E, lie in the plane of the triangle and are as shown. Axis A AxisC Axis D M2 Axis E M3 Otheexpertta.com Part (a) Determine an expression in terms of M and I for the moment of inertia of the masses about Axis A. Expression : M,2 Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P, t Part (b) Determine an expression for the moment of inertia of the masses about Axis B in terms of M and I. Expression : I = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, D, g, h, i, 1, M, P, q, r, R, t Part (c) Determine an expression for the moment of inertia of the masses about Axis C in terms of M and 1. Expression: Ic = Select from the variables below to write your expression. Note that all variables may not be required. n, a, ß, b, d, D, g, h, i, 1, M, P,r, R, t Part (d) Determine an expression for the moment of inertia of the masses about Axis D in terms of M and l. Axis D is parallel to the base of the triangle. Expression : Ip = Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P,t Part (e) Determine an expression for the moment of inertia of the masses about Axis E in terms of M and I. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P, t

M, + Axis B Problem 3: Three identical point masses of mass M are fixed at the corners of an equilateral triangle of sides I as shown. Axis A runs through a point equidistant from all three masses, perpendicular to the plane of the triangle. Axis B runs through M, and is perpendicular to the plane of the triangle. Axes C, D, and E, lie in the plane of the triangle and are as shown. Axis A AxisC Axis D M2 Axis E M3 Otheexpertta.com Part (a) Determine an expression in terms of M and I for the moment of inertia of the masses about Axis A. Expression : M,2 Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P, t Part (b) Determine an expression for the moment of inertia of the masses about Axis B in terms of M and I. Expression : I = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, D, g, h, i, 1, M, P, q, r, R, t Part (c) Determine an expression for the moment of inertia of the masses about Axis C in terms of M and 1. Expression: Ic = Select from the variables below to write your expression. Note that all variables may not be required. n, a, ß, b, d, D, g, h, i, 1, M, P,r, R, t Part (d) Determine an expression for the moment of inertia of the masses about Axis D in terms of M and l. Axis D is parallel to the base of the triangle. Expression : Ip = Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P,t Part (e) Determine an expression for the moment of inertia of the masses about Axis E in terms of M and I. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P, t

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.35P
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8.3 please answer parts d and e, other parts are answered

M, Axis B Problem 3: Three identical point masses of mass M are fixed at the corners of an equilateral triangle of sides I as shown. Axis A runs through a point equidistant from all three masses, perpendicular to the plane of the triangle. Axis B runs through M, and is perpendicular to the plane of the triangle. Axes C, D, and E, lie in the plane of the triangle and are as shown. Axis A AxisC Axis D М, Axis E M, 3 ©theexpertta.com Part (a) Determine an expression in terms of M and I for the moment of inertia of the masses about Axis A. Expression : Ia = M,? Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, B, 0, d, g, h, i, 1, M, P, t Part (b) Determine an expression for the moment of inertia of the masses about Axis B in terms of M and l. Expression : Ih = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, D, g, h, i, 1, M, P, q, r, R, t Part (c) Determine an expression for the moment of inertia of the masses about Axis C in terms of M and l. Expression : Ic= (2M,?) I(2) Select from the variables below to write your expression. Note that all variables may not be required. n, a, B, b, d, D, g, h, i, 1, M, P, r, R, t Part (d) Determine an expression for the moment of inertia of the masses about Axis D in terms of M and I. Axis D is parallel to the base of the triangle. Expression : Ip = Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P, t Part (e) Determine an expression for the moment of inertia of the masses about Axis E in terms of M and I. Expression : I = Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P, t
Transcribed Image Text:M, Axis B Problem 3: Three identical point masses of mass M are fixed at the corners of an equilateral triangle of sides I as shown. Axis A runs through a point equidistant from all three masses, perpendicular to the plane of the triangle. Axis B runs through M, and is perpendicular to the plane of the triangle. Axes C, D, and E, lie in the plane of the triangle and are as shown. Axis A AxisC Axis D М, Axis E M, 3 ©theexpertta.com Part (a) Determine an expression in terms of M and I for the moment of inertia of the masses about Axis A. Expression : Ia = M,? Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, B, 0, d, g, h, i, 1, M, P, t Part (b) Determine an expression for the moment of inertia of the masses about Axis B in terms of M and l. Expression : Ih = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, D, g, h, i, 1, M, P, q, r, R, t Part (c) Determine an expression for the moment of inertia of the masses about Axis C in terms of M and l. Expression : Ic= (2M,?) I(2) Select from the variables below to write your expression. Note that all variables may not be required. n, a, B, b, d, D, g, h, i, 1, M, P, r, R, t Part (d) Determine an expression for the moment of inertia of the masses about Axis D in terms of M and I. Axis D is parallel to the base of the triangle. Expression : Ip = Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P, t Part (e) Determine an expression for the moment of inertia of the masses about Axis E in terms of M and I. Expression : I = Select from the variables below to write your expression. Note that all variables may not be required. a, b, n, r, a, ß, 0, d, g, h, i, 1, M, P, t
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