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- The line of action of force F passes through points A and B. Find the moment of force F about axis CD in Cartesian vector notation, given : F = 45 N AX = 7 m, AY = 8 m, AZ = 10 m BX = 3 m, BY = 5 m, BZ = 5 m CX = 7 m, CY = 7 m, CZ = 8 m DX = 6 m, DY = 5 m, DZ = 4 m Answer Selection: MCD = <288, -74.5, -371> N·m <485, -61.9, -185> N·m <334, -51.3, -308> N·m <201, -44.3, -447> N·m <402, -30.9, -266> N·mPlz answer this engineer math question ASAP,and used parameter equation,thx find the derivative directed f at point P in the direction of a= f= XY+YZ+25 P(-2,4,7) a=(-i+j+5k)1) A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(πZ/2L)where Jo is a constant.The boundary conditions are dΦ(o)/dz =0 AND Φ(L)=0 Find Φ(z) and graph (1/GJo)Φ(Z), and (1/GJo)(dΦ(Z)/dz) ?
- As shown in the figure below two boats are traveling in circular paths. Boat A is traveling at a constant vA = 19m/s and Boat B is traveling at a constant vB = 17m/s but in the opposite direction. Radius of Curvature for boat A is ρA = 199m, and for boat B is ρB = 110m. Find the e^tA component of v¯B/A in m/s: Find the e^nA component of v¯B/A in m/s: Find the e^tA component of a¯B/A in m/s^2: Find the e^nA component of a¯B/A in m/s^2: (Remember: Boat A is traveling at a constant vA = 19m/s and Boat B is traveling at a constant vB = 17m/s but in the opposite direction. Radius of Curvature for boat A is ρA = 199m, and for boat B is ρB = 110m) e^nA=−e^nB at this moment Select one: True FalseConsider a hollow sphere of radii h and 3h, interior and exterior respectively. The mass density in the sphere is ρ = k / r, Kg / m³, where k is a constant, and r is the distance from the center of the sphere to an arbitrary point within it. If k = 3 m, find the gravitational field of the distribution at a point (P), on the x-axis, located at a distance of 4h, measured with respect to the center of the sphere. Ans: 5.655e-10For equation, x^3 +2(x^2)-103x-440, evaluate the integral of the function between 0 and 5 using the Trapezoid Rule using n=4.
- Two variable quantities A and B are found to be related by the equation given below. What is the rate of change dA/dtat the moment when A=3 and dB/dt=5? A3+B3=35Consider the following linear equations,ɪɴ ᴀɴ ᴀᴍᴍᴏɴɪᴀ ʀᴇꜰʀɪɢᴇʀᴀᴛᴏʀ , ᴛʜᴇ ᴘʀᴇꜱꜱᴜʀᴇ ɪɴ ᴛʜᴇ ᴇᴠᴀᴘᴏʀᴀᴛᴏʀ ɪꜱ 267. 58 ᴋᴘᴀ ᴀɴᴅ ᴛʜᴇᴀᴍᴍᴏɴɪᴀ ᴀᴛ ɪꜱ 0.14 ᴅʀʏ ᴡʜɪʟᴇ ᴀᴛ ᴛʜᴇ ᴇxɪᴛ ɪꜱ 0.86 ᴅʀʏ . ᴅᴜʀɪɴɢ ᴄᴏᴍᴘʀᴇꜱꜱɪᴏɴ ᴛʜᴇ ᴡᴏʀᴋ ᴅᴏɴᴇ ᴘᴇʀ ᴋɢᴏꜰ ᴀᴍᴍᴏɴɪᴀ ɪꜱ 20 ,000 ᴋɢ .ᴍ . ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴛʜᴇ ᴠᴀᴘᴏʀ ᴇɴᴛᴇʀɪɴɢ ᴛʜᴇ ᴄᴏᴍᴘʀᴇꜱꜱᴏʀ ᴘᴇʀ ᴍɪɴᴜᴛᴇɪꜰ ᴛʜᴇ ʀᴀᴛᴇ ᴏꜰ ᴀᴍᴍᴏɴɪᴀ ᴄɪʀᴄᴜʟᴀᴛɪᴏɴ ɪꜱ 6.54 ᴋɢ. ᴛʜᴇ ᴄᴏᴍᴘʀᴇꜱꜱᴏʀ ʜᴀꜱ ᴀ ᴠᴏʟᴜᴍᴇᴛʀɪᴄ ᴇꜰꜰɪᴄɪᴇɴᴄʏ ᴏꜰ 90%ᴀɴᴅ ɪᴛ ʀᴜɴꜱ ᴀᴛ 150 ʀᴘᴍ .ᴛʜᴇ ʀᴀᴛɪᴏ ᴏꜰ ꜱᴛʀᴏᴋᴇ ᴛᴏ ʙᴏʀᴇ ɪꜱ 1 .ʟᴀᴛᴇɴᴛ ᴇɴᴛʜᴀʟᴘʏ ᴏꜰ ᴀᴍᴍᴏɴɪᴀ ᴀᴛ ʙᴀꜱᴇᴅᴏɴ ɪᴛꜱ ᴇᴠᴀᴘᴏʀᴀᴛɪɴɢ ᴘʀᴇꜱꜱᴜʀᴇ ɪꜱ 320 ᴋᴄᴀʟ ᴘᴇʀ ᴋɢ ᴀɴᴅ ɪᴛꜱ ʟᴀᴛᴇɴᴛ ꜱᴘᴇᴄɪꜰɪᴄ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴀᴍᴍᴏɴɪᴀ ʙᴀꜱᴇᴅᴏɴ ɪᴛꜱ ᴇᴠᴀᴘᴏʀᴀᴛɪɴɢ ᴘʀᴇꜱꜱᴜʀᴇ ɪꜱ 0.436 ᴍ3 ᴘᴇʀ ᴋɢ .ꜱᴘᴇᴄɪꜰɪᴄ ᴠᴏʟᴜᴍᴇ ᴏꜰ ᴀᴍᴍᴏɴɪᴀ .ꜱᴜᴘᴘᴏʀᴛ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀ ᴡɪᴛʜ ᴛʜᴇ ɴᴇᴄᴇꜱꜱᴀʀʏ ꜱᴄʜᴇᴍᴀᴛɪᴄ ᴅɪᴀɢʀᴀᴍꜱ , ᴘʜ ᴀɴᴅ ᴛꜱ ᴅɪᴀɢʀᴀᴍꜱ thank youOption:ᴀ) 2.23 ᴄ) 2.46ʙ) 3.23 ᴅ) 4.62
- 11) A cylindrical rod of constant radius andconstant shear modulus, G is of length Land located between z=0 and z=L.t=zsin(πZ/2L). call the polar moment of inertia J. The boundary conditions areΦ(0)=0 AND Φ(L)=0 Find Φ(z) and graph (1/GJ)*Φ(Z), and (1/GJ)*(dΦ/dz) ?Describe Lagrangian Approach hence show that Lagrangian's equation is given as d/dt dL/dqj - dL/dqj = 0Engine oil at 60°C rotates as a rigid body about the z-axis in a spinning cylindrical container. There are no viscous stresses since the water moves as a solid body; thus the Euler equation is appropriate. (We neglect viscous stresses caused by air acting on the water surface.) Integrate the Euler equation to generate an expression for pressure as a function of r and z everywhere in the water. Write an equation for the shape of the free surface (zsurface as a function of r). (Hint: P = Patm everywhere on the free surface. The flow is rotationally symmetric about the z-axis.)