Consider a planar lamina whose density function is given by delta(x,y), measured in kg/m^2. Assume x and y are measured in meters.
What are the units of the first moment of the region about the x-axis?
What are the units of the second moment of the region about the x-axis?
First moment of inertia depends on mass and it's distance r from axis of rotation.while second moment of inertia depends on mass and square of its distance from axis of rotation.
So unit of first moment of inertia is kg-m
Unit of second moment of inertia is kg-m2
Hope this will help!
Consider a planar lamina whose density function is given by delta(x,y), measured in kg/m^2. Assume x...
1. Given the planar lamina in the first quadrant bounded by the graph: y = 1 - x', with an area density: (x,y) = kx, a) sketch the lamina, and b) find the mass, center of mass, and I of the lamina.
Hi, I need help solving number 13. Please show all the steps,
thank you. :)
Consider the solid Q bounded by z-2-y2;z-tx at each point Р (x, y, z) is given by mass of Q [15 pts] 9. x-4. The density Z/m 3 . Find the center of (x, y, z) [15 pts] 10. Evaluate the following integral: ee' dy dzdx [15 pts] 11. Use spherical coordinates to find the mass m of a solid Q that lies between the...
For the lamina that occupies the region D bounded by the curves x = y2 – 2 and x = 2y + 6, and has a density function: p(x, y) = y + 4, find: a) the mass of the lamina; b) the moments of the lamina about x-axis and y-axis; c) the coordinates of the center of mass of the lamina.
#326
ignore 325, only need 326
In the following exercises, consider a lamina occupying the region R and having the density function p given in the first two groups of Exercises. a. Find the moments of inertia IX, Iy, and I, about the x-axis, y-axis, and origin, respectively. b. Find the radii of gyration with respect to the x-axis, y-axis, and origin, respectively. 325. R is the trapezoidal region determined by the lines y=-**+ , y = 0, y =...
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Consider the random variable Y, whose probability density function is defined...