Find the mass and the indicated coordinates of the center of mass of the solid region Q of density p bounded by the graphs of the equations. Find y using p(x, y, z) = ky. Q: 3x + 3y + 6z = 18, x = 0, y = 0, z = 0
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A: m1 = 1.76 kg r1 = (-1.41 , 0.619) m m2 = 5.63 kg r2 = (0.206 , -0.607) m m3 =3 kgrc.m= (-0.848 ,…
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- A water molecule consists of an oxygen atom and two hydrogen atoms. The two O—H bonds are each0.1 nm long and form an angle of 107◦ with each other. Where is the molecule’s centre of mass located?Consider the mass of the oxygen atom to be 16 times the mass of a hydrogen atom, and place yourhydrogen atoms along the x-axis of your coordinate system. [Hint: Draw your coordinate system!].Consider a system of two particles in the xy plane: m₁ has velocity (3.001 - 2.00ĵ) m/s. This answer has not been graded yet. (a) Plot these particles on a grid or graph paper. Draw their position vectors and show their velocities. (Include the center of mass of the system and its velocity found below. Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Find the position of the center of mass (in m) of the system and mark it on the grid. XCM усм Vx,CM Vy,CM = m 2.20 kg is at the location ₁ = (1.00Î + 2.00ĵ) m and has a velocity of (3.00î + 0.500ĵ) m/s; m₂ = 1 m Px Py (c) Determine the velocity of the center of mass (in m/s) and also show it on the diagram. m/s m/s (d) What is the total linear momentum of the system (in kg • m/s)? kg. m/s kg. m/s 3.50 kg is at r₂ = (-4.00î – 3.00ĵ) m andWhat’s the center of mass for each situation?
- A system composed of the following particles: a 0.500 kg particle at the origin; a 1.25 kgkg particle at x = 0.150 mm, y = 0.200 mm; and a 0.750 kg particle at x = 0.200 mm, y = -0.800 mm. a. Find the x-coordinate of the center of mass of the system. b. Find the y-coordinate of the center of mass of the system.A water molecule consists of an oxygen atomwith two hydrogen atoms bound to it. Theangle between the two bonds is 106◦. If each bond is 0.093 nm long, how far fromthe oxygen atom is the center of mass of themolecule? Take the mass of an oxygen atomto be 16 times the mass of a hydrogen atom.Answer in units of nmHow do you find the the center of mass of a lamina whose density is given by p(x, y) on a region R?? Here m is the mass, M, is the moment in the x- axis and My is the moment in the y- axis М, М, Center of mass is located at т m The coordinates of the center are (M2, My) Find the moment M, and divide by the mass m The center of mass is located in the center of the universe. Find the moment M, and divide by moment My о ООО
- K:30)Current Attempt in Progress Three uniform-density spheres are positioned as follows: A 5 kg sphere is centered at « 12, 24, -8 > m. A 10 kg sphere is centered at « 6, -17, 10 > m. A 11 kg sphere is centered at m cm√9-x² and y = 25-2 Problem #7: The boundary of a lamina consists of the semicircles y together with the portions of the x-axis that join them. Find the center of mass of the lamina if the density at any point is inversely proportional to its distance from the origin. Enter the x- and y-coordinates of the center of mass (in that order) into the answer box below, separated with a comma.