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Io = axial intensity w = beam waist (i.e. 1/e^2 radius) at r= w, I(r) is at 1/e^2 (13.5%) of the axial intensity...
Laserpointer Points:1 A laserpointer has a beam intensity of 54 W/m2 and a beam radius of...
Laserpointer Points:1 A laserpointer has a beam intensity of 54 W/m2 and a beam radius of 2 mm. A first grader attempts to use it to move a black toy car. Assuming perfect absorption, what is the force on the car? 9.04*10A-12 N Incorrect. Tries 4/12 Previous Tries Submit Answer Send Feedback Post Discussion
#1 Laminar Flow in Pipes The axial velocity in a pipe of radius R is given by, . Find the value o...
Fluid Mechanics
#1 Laminar Flow in Pipes The axial velocity in a pipe of radius R is given by, . Find the value of r (as a fraction of R) that maximizes u(r). How does this value of velocity compare with Vc? Compute the wall shear stress, du or Perform a control volume analysis on a pipe section of length e. Relate the pressure drop across the pipe section to the shear stress. Substitute the relation above for tw to...
06M.3 Suppose we prepare a beam of photons with wave- length λ and intensity I whose...
06M.3 Suppose we prepare a beam of photons with wave- length λ and intensity I whose spin angular momentum vectors are aligned with their direction of motion, and we allow these photons to fall on a circular metal plate of mass M and radius R that is free to rotate around an axis per- pendicular to the plate and parallel to the beam of light. As the photons are absorbed by the metal plate, the plate will have to rotate...
2 1 0 T" A(1/r)dA=b-In(r/r The figure (not drawn to scale) shows a curved I-beam of given section and inner rad...
2 1 0 T" A(1/r)dA=b-In(r/r The figure (not drawn to scale) shows a curved I-beam of given section and inner radius subjected to a bending moment. Given Sections parameters w 12 mm, h 115 mm, w85mm and he 21 mm, Inner radlus Ro320 mm, and bending moment M 850 MPa Calculate the radius of curvature at the beam's section centroid F, the radius of curvature at the neutral axis R and the stress at point Bop
2 1 0
T"...
Problem 4. At one end of an elastic beam (length 2L, annular cross section with outer radius R, inner radius r, and pla...
Problem 4. At one end of an elastic beam (length 2L, annular cross section with outer radius R, inner radius r, and planar moment of inertia z(R4- that is supported by a truss structure (cross-sectional area A), a vertical load P is applied, which results in a vertical deflection at that point that can be determined by 5PL 2PL3 EA 3EIz Two experiments with the same data but different inner radii r were conducted, and the deflections w were measured....
certain beam of light has an intensity of 2,000 W/m2 and a wavelength of 500 nm....
certain beam of light has an intensity of 2,000 W/m2 and a wavelength of 500 nm. If the beam is of sufficient diameter to ill uminate a 1.00-m2 area, how many photons does i detiver to that area uingch second? a. 5 x 1021 b. 1 x 1021 c. 3 x 1022 d. 2 x 1022 e. 4 x 1023
1)- Give the correct names for the structures drawn (i.e. A-E) or draw the structure for each of the names given (i.e., F) for the compounds below, and use the E/Z, cis/trans, equatorial/axial, R/S l...
1)- Give the correct names for the structures drawn (i.e. A-E) or draw the structure for each of the names given (i.e., F) for the compounds below, and use the E/Z, cis/trans, equatorial/axial, R/S labeling when appropriate (Choose 4 overall which include A and E) он O2N NO2 CN NO2 Br Common Name (CH,)-СОНСОН(CH3)2 Common Name 4-Carbomethoxy-5-formyl-2-hydroxybenzenesulfonic acicd
1)- Give the correct names for the structures drawn (i.e. A-E) or draw the structure for each of the names given (i.e.,...
2. [40 pts] Gaussian Beam (Based on Textbook problem 1.4 and 1.5) A diode laser emits...
2. [40 pts] Gaussian Beam (Based on Textbook problem 1.4 and 1.5) A diode laser emits a Gaussian beam. The minimum waist diameter is 1 mm. The lasing wavelength is 514 nm. Find (a) Divergence angle 6div (b) The Rayleigh range (c) The diameter of the beam after propagating 10 m (d) 10 m away from the laser output aperture, you want to place a spherically curved mirror to reflect 1.0 mmthe beam back perfectly. Find the radius of curvature...
2. The governing differential equation that relates the deflection y of a beam to the load w ia w...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
Consider the Laplace equation for a ball of radius R described in spherical coordinates (r, 0) 2 1 cot 72 0= n where...
Consider the Laplace equation for a ball of radius R described in spherical coordinates (r, 0) 2 1 cot 72 0= n where is the zenith angle and assume u is independent on the azirnuth angle d. a) By separation of variables, derive two ordinary differential equations of r and w:= cos e given by 2 F" (r) +2rF (r) - n(n + 1) F, (r) = 0, (1 w2)G (w) - 2wG", (w) +n(n +1)G, (w) 0. (n 0,1,2,....
Laserpointer Points:1 A laserpointer has a beam intensity of 54 W/m2 and a beam radius of 2 mm. A first grader attempts to use it to move a black toy car. Assuming perfect absorption, what is the force on the car? 9.04*10A-12 N Incorrect. Tries 4/12 Previous Tries Submit Answer Send Feedback Post Discussion
Fluid Mechanics
#1 Laminar Flow in Pipes The axial velocity in a pipe of radius R is given by, . Find the value of r (as a fraction of R) that maximizes u(r). How does this value of velocity compare with Vc? Compute the wall shear stress, du or Perform a control volume analysis on a pipe section of length e. Relate the pressure drop across the pipe section to the shear stress. Substitute the relation above for tw to...
06M.3 Suppose we prepare a beam of photons with wave- length λ and intensity I whose spin angular momentum vectors are aligned with their direction of motion, and we allow these photons to fall on a circular metal plate of mass M and radius R that is free to rotate around an axis per- pendicular to the plate and parallel to the beam of light. As the photons are absorbed by the metal plate, the plate will have to rotate...
2 1 0 T" A(1/r)dA=b-In(r/r The figure (not drawn to scale) shows a curved I-beam of given section and inner radius subjected to a bending moment. Given Sections parameters w 12 mm, h 115 mm, w85mm and he 21 mm, Inner radlus Ro320 mm, and bending moment M 850 MPa Calculate the radius of curvature at the beam's section centroid F, the radius of curvature at the neutral axis R and the stress at point Bop
2 1 0
T"...
Problem 4. At one end of an elastic beam (length 2L, annular cross section with outer radius R, inner radius r, and planar moment of inertia z(R4- that is supported by a truss structure (cross-sectional area A), a vertical load P is applied, which results in a vertical deflection at that point that can be determined by 5PL 2PL3 EA 3EIz Two experiments with the same data but different inner radii r were conducted, and the deflections w were measured....
certain beam of light has an intensity of 2,000 W/m2 and a wavelength of 500 nm. If the beam is of sufficient diameter to ill uminate a 1.00-m2 area, how many photons does i detiver to that area uingch second? a. 5 x 1021 b. 1 x 1021 c. 3 x 1022 d. 2 x 1022 e. 4 x 1023
1)- Give the correct names for the structures drawn (i.e. A-E) or draw the structure for each of the names given (i.e., F) for the compounds below, and use the E/Z, cis/trans, equatorial/axial, R/S labeling when appropriate (Choose 4 overall which include A and E) он O2N NO2 CN NO2 Br Common Name (CH,)-СОНСОН(CH3)2 Common Name 4-Carbomethoxy-5-formyl-2-hydroxybenzenesulfonic acicd
1)- Give the correct names for the structures drawn (i.e. A-E) or draw the structure for each of the names given (i.e.,...
2. [40 pts] Gaussian Beam (Based on Textbook problem 1.4 and 1.5) A diode laser emits a Gaussian beam. The minimum waist diameter is 1 mm. The lasing wavelength is 514 nm. Find (a) Divergence angle 6div (b) The Rayleigh range (c) The diameter of the beam after propagating 10 m (d) 10 m away from the laser output aperture, you want to place a spherically curved mirror to reflect 1.0 mmthe beam back perfectly. Find the radius of curvature...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
Consider the Laplace equation for a ball of radius R described in spherical coordinates (r, 0) 2 1 cot 72 0= n where is the zenith angle and assume u is independent on the azirnuth angle d. a) By separation of variables, derive two ordinary differential equations of r and w:= cos e given by 2 F" (r) +2rF (r) - n(n + 1) F, (r) = 0, (1 w2)G (w) - 2wG", (w) +n(n +1)G, (w) 0. (n 0,1,2,....
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