a. Determine the moment of
inertia about the rotated x’-axis. b. Determine the moment of
inertia about the rotated y’-axis. c. Find a set of principle axes
(meaning find the principle angle).
Homework Answers
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A. Determine the moment of inertia about the rotated x’-axis. b. Determine the moment of inertia ...
For the rectangular region, 1) determine the moment of inertia about the u-axis 2) determine the...
For the rectangular region,
1) determine the moment of inertia about the u-axis
2) determine the product of inertia about the u-v axes
3) determine the moment of inertia about the v-axis
4) determine the principal moments of inertia and the principal
directions at the centroid C (Imax, Imin, angle about the
x-axis)
304 4 in. 3 in.
What is the moment of inertia of the object when rotated around the x-axis, y-axis, and...
What is the moment of inertia of the object when rotated around
the x-axis, y-axis, and also the z-axis. Please explain.
Follow-Up Example Moment of Inertia You place 4 masses on the corner of a massless sheet as shown (in the shape of a kite). You then rotate this object. What is the moment of inertia of this object when you rotate it around the z-axis? r1=(0,2)m mi 1kg , r4 (-3,0)m m4-2kg a) 29 kg m b) 18 kg...
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and z-axes respectively, then rotated another 30° about the a-axis. Find the...
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and z-axes respectively, then rotated another 30° about the a-axis. Find the new location (10 marks) and orientation of the frame. 0 0 -1 3 -1 0 0 4
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and...
(10 points) Determine the moment of inertia of the composite beam about the centroidal x and...
(10 points) Determine the moment of inertia of the composite beam about the centroidal x and y axis. Hint: You need to locate the centroid of the composite area. You can use the tables in Appendix B and C. Then, using the same tables and parallel axis theorem you can calculate the moment of inertia about the centroidal axes. 20 in Ism 5 in W10x54 Note: The drawing is not to scale. is the centerline symbol Problem 1
Determine the Moment of Inertia Ix and Iy of the composite cross section about the centroidal x and y axes. Parallel Axis Theorem I = I + Ad2
Determine the Moment of Inertia Ix and Iy of the composite cross section about the centroidal x and y axes. Parallel Axis Theorem I = I + Ad2 HINT: 1st find the composite centroidal x and y axes, 2nd find the distance from the centroids of each section to the new composite centroidal axis, 3rd calculate the centroidal Ix and ly and areas using formulas for common shapes, 4th use the parallel axis theorem to calculate the moment of inertia. Also find...
Determine the moment of inertia for the shaded area about the y axis for the shape...
Determine the moment of inertia for the shaded area about the y axis for the shape below. у - y² = 1- x 1 m 1 m -1 m
Use integration to determine the mass moment of inertia about the x axis shown. Also determine th...
Use integration to determine the mass moment of inertia about the x axis shown. Also determine the mass moment of inertia about axis O-O. Give answer in terms of total mass m. 10 3" 8"
Use integration to determine the mass moment of inertia about the x axis shown. Also determine the mass moment of inertia about axis O-O. Give answer in terms of total mass m. 10 3" 8"
Determine the moment of inertia of the shaded area about the x axis and the y...
Determine the moment of inertia of the shaded area about the x
axis and the y axis.
Figure < 1 of 1 > 1 m
End 2) 3)Determination of the area moment of inertia of a rectangular object about the X-x...
End 2) 3)Determination of the area moment of inertia of a rectangular object about the X-x & Y--Y axes: 3a) Compute the x-x axis and the y-y axis area moment of inertia of the figure below about a) Moment of Inertia about the X-X axis 2 3 b) Moment of Inertia about the Y-y axis ?
For the composite area shown: a) Determine the moment of inertia about the centroidal y-axis.
For the composite area shown: a) Determine the moment of inertia about the centroidal y-axis. b) Determine the moment of inertia about the centroidal x-axis.
For the rectangular region,
1) determine the moment of inertia about the u-axis
2) determine the product of inertia about the u-v axes
3) determine the moment of inertia about the v-axis
4) determine the principal moments of inertia and the principal
directions at the centroid C (Imax, Imin, angle about the
x-axis)
304 4 in. 3 in.
What is the moment of inertia of the object when rotated around
the x-axis, y-axis, and also the z-axis. Please explain.
Follow-Up Example Moment of Inertia You place 4 masses on the corner of a massless sheet as shown (in the shape of a kite). You then rotate this object. What is the moment of inertia of this object when you rotate it around the z-axis? r1=(0,2)m mi 1kg , r4 (-3,0)m m4-2kg a) 29 kg m b) 18 kg...
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and z-axes respectively, then rotated another 30° about the a-axis. Find the new location (10 marks) and orientation of the frame. 0 0 -1 3 -1 0 0 4
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and...
(10 points) Determine the moment of inertia of the composite beam about the centroidal x and y axis. Hint: You need to locate the centroid of the composite area. You can use the tables in Appendix B and C. Then, using the same tables and parallel axis theorem you can calculate the moment of inertia about the centroidal axes. 20 in Ism 5 in W10x54 Note: The drawing is not to scale. is the centerline symbol Problem 1
Determine the moment of inertia for the shaded area about the y axis for the shape below. у - y² = 1- x 1 m 1 m -1 m
Use integration to determine the mass moment of inertia about the x axis shown. Also determine the mass moment of inertia about axis O-O. Give answer in terms of total mass m. 10 3" 8"
Use integration to determine the mass moment of inertia about the x axis shown. Also determine the mass moment of inertia about axis O-O. Give answer in terms of total mass m. 10 3" 8"
Determine the moment of inertia of the shaded area about the x
axis and the y axis.
Figure < 1 of 1 > 1 m
End 2) 3)Determination of the area moment of inertia of a rectangular object about the X-x & Y--Y axes: 3a) Compute the x-x axis and the y-y axis area moment of inertia of the figure below about a) Moment of Inertia about the X-X axis 2 3 b) Moment of Inertia about the Y-y axis ?
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