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

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Chapter1: Units, Trigonometry. And Vectors
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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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