Question

Notify Me Bookmark

The coordinate axes in the figure run through the centroid of a solid wedge parallel to the labeled edges. The wedge has a = 4, b = 6, and c = 9. The solid has constant density δ = 1. The square of the distance from a typical point (x, y, z) of the wedge to the line L: z = 0, y = 6 is r2 = (y−6)2 + z2. Calculate the moment of inertia of the wedge about L. IL = (Simplify your answer. Type an integer or fraction.)

The coordinate axes in the figure run through the centroid of a solid wedge parallel to the labeled edges. The wedge has a = 4, b = 6, and c = 9. The solid has constant density δ = 1. The square of the distance from a typical point (x, y, z) of the wedge to the line L: z = 0, y = 6 is r2 = (y−6)2 + z2. Calculate the moment of inertia of the wedge about L. IL = (Simplify your answer. Type an integer or fraction.)

Image text
The coordinate axes in the figure run through the centroid of a solid wedge parallel to the labeled edges. The wedge has a = 4 , b = 6 , and c = 9 . The solid has constant density δ = 1 . The square of the distance from a typical point ( x , y , z ) of the wedge to the line L : z = 0 , y = 6 is r 2 = ( y − 6 ) 2 + z 2 .
Calculate the moment of inertia of the wedge about L.
I L =
◻ (Simplify your answer. Type an integer or fraction.)

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Ball a, of mass ma, is connected to ball b, of mass mb, by a massless rod of length L. (Figure 1 )The two vertical dashed lines in the figure, one through each ball, represent two different axes of rotation, axes a and b. These axes are parallel to each other and perpendicular to the rod. The moment of inertia of the two-mass system about axis a is Ia, and the moment of inertia of the system about axis b is Ib. It is observed that the ratio of Ia to Ib is equal to 3: Ia Ib = 3 Assume that both balls are pointlike; that is, neither has any moment of inertia about its own center of mass. Figure 1 of 1 Find the ratio of the masses of the two balls. Express your answer numerically. View Available Hint(s) ma mb = Find da, the distance from ball a to the system's center of mass. Express your answer in terms of L, the length of the rod. View Available Hint(s) da =Ball a, of mass ma, is connected to ball b, of mass mb, by a massless rod of length L. (Figure 1 )The two vertical dashed lines in the figure, one through each ball, represent two different axes of rotation, axes a and b. These axes are parallel to each other and perpendicular to the rod. The moment of inertia of the two-mass system about axis a is Ia, and the moment of inertia of the system about axis b is Ib. It is observed that the ratio of Ia to Ib is equal to 3: Ia Ib = 3 Assume that both balls are pointlike; that is, neither has any moment of inertia about its own center of mass. Figure 1 of 1 Find the ratio of the masses of the two balls. Express your answer numerically. View Available Hint(s) ma mb = Find da, the distance from ball a to the system's center of mass. Express your answer in terms of L, the length of the rod. View Available Hint(s) da =Ball a, of mass ma, is connected to ball b, of mass mb, by a massless rod of length L. (Figure 1 )The two vertical dashed lines in the figure, one through each ball, represent two different axes of rotation, axes a and b. These axes are parallel to each other and perpendicular to the rod. The moment of inertia of the two-mass system about axis a is Ia, and the moment of inertia of the system about axis b is Ib. It is observed that the ratio of Ia to Ib is equal to 3: Ia Ib = 3 Assume that both balls are pointlike; that is, neither has any moment of inertia about its own center of mass. Figure 1 of 1 Find the ratio of the masses of the two balls. Express your answer numerically. View Available Hint(s) ma mb = Find da, the distance from ball a to the system's center of mass. Express your answer in terms of L, the length of the rod. View Available Hint(s) da =
Solution
3 0

Potential in a charge distribution 3 points We have a sphere with diameter d = 7 m and charge density profile ρc(r) = Ar2ω where A = 6×10−8. The change in potential energy of a charge q = 5 mC moved from a radius of r = 2.3 m inside the sphere to the very edge of the sphere was found to be −25 J. Find the value of the constant ω. (Next three questions) We have a spherical ball in a vacuum with three layers: the center and outer layers have constant charge density ρ = 0.7 μC/m3 and the middle layer is a perfect conductor. We'll define zero potential, V = 0, at an infinite distance away from the sphere. The radii are a = 0.3 m, b = 0.7 m, and c = 1 m. Figure 3: Figure for Problems 9-11 Potential at purple dashed line 1 point (a) What is the potential at r = 0.4 m away from the center of the sphere (purple dashed line)? (number 10) Potential at yellow dashed line 1 point What is the potential at r = 0.85 m away from the center of the sphere (yellow dashed line)? (number 11) Potential at green dashed line 1 point What is the potential at r = 1.2 m away from the center of the sphere (green dashed line)?

Solution
0 0

In the figure shown below, three charges are places at the corners of a rectangle. Charges q1 and q2 are located in the upper left and right corners, respectively and charge q3 is places in the lower left corner. The separation distance of q1 and q3 is the distance a. The lower right corner, which does not contain a charge, is labeled as point P1. A second point, P2, is on the top side of the rectangle, a distance b from charge q1 and c from charge q2. For this question, let q1 = 58.00000 nC, q2 = −12.00000 nC, q3 = −20.00000 nC, a = 12.00000 cm, b = 16.00000 cm and c = 6.00000 cm. (If you wish to get correct answers, then be sure to use ke = 9.00000×109 N⋅m2 /C2 and e = 1.60000×10−19 C.) The angle of the electric field at point P2 due only to q3, as measured from the positive x-axis, in degrees and to three decimal places, is
Solution
0 0