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for #1 Show that equation of an elliptical trajectory in polar...
MATLAB, Please answer question 1. + ENGR 102 Homework 9 :- 1) An elliptical staircase that...
MATLAB, Please answer question 1.
+ ENGR 102 Homework 9 :- 1) An elliptical staircase that decreases in size with height can be modeled by the parametric equations: r cos(t) y-rsint) it m) Where, e-0.04t Ib cos(O)+ [a sin()]- a and b are the semimajor and semiminor axes of the ellipse, h is the staircase height, and n is the number pf revolutions that the staircase makes. Make a 3-D plot of the staircase with a 20 m, b 10...
-/1 points LarCale 11 1 My NetesAsk Your write the equation for the ellipse rotated π/6 radian clockwise from the e...
-/1 points LarCale 11 1 My NetesAsk Your write the equation for the ellipse rotated π/6 radian clockwise from the ellipse shown below &-1 points LawrCakc11 10 6 033 My Notes Ask Your Find a polar equation r for the conic with its focus at the pole and the givern eccentricity and directrix. (For the equation for the directrix is given in rectangular form.) Conic Eccentricity Directrix Parabela e- 1 .-/1 points LarCale11 10.6.035 My Noles Ask Your Find a...
4. Given a point (-3,-) in polar representation, answer each question. a) Plot the point b)...
4. Given a point (-3,-) in polar representation, answer each question. a) Plot the point b) Find two additional polar representations, using -2n< < 26 c) Convert to rectangular coordinates. 5. Convert the rectangular point (V3.1) to polar coordinates where 0 <<2 6. Given a polar equation r = 4sin e a) Sketch the graph of the polar equation by completing the table. r 0 FT/6 1/2 5/6 b) Convert the polar equation into a rectangular equation,
An eight turn coil encloses an elliptical area having a major axis of 40.0 cm and...
An eight turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm (Fig. P19.23). The coil lies in the plane of the page and has a 5.90 A current flowing clockwise around it. If the coil is in a uniform magnetic field of 2.01 × 10-4 T, directed toward the left of the page, what is the magnitude of the torque on the coil? (Hint: The area of an ellipse...
Convert the polar equation to rectangular form and sketch its graph. r = 7 cot(0) csc(O)...
Convert the polar equation to rectangular form and sketch its graph. r = 7 cot(0) csc(O) Step 1 The polar coordinates (r, e) of a point are related to the rectangular coordinates (x, y) of the point as follows. x=rcos(0) cos y = r sin(0) sin e Step 2 The given polar equation can be rewritten as follows. r 7 cote csco 1 r = 7 coto sino 2 sin(0) = 7 coto Converting to rectangular coordinates using x =...
An eight-turn coil encloses an elliptical area having a major axis of 40.0 cm and a...
An eight-turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm (see figure). The coll lies in the plane of the page and has a 5.77-A current flowing clockwise around it. If the coil is in a uniform magnetic field of 1.91 x 10" T directed toward the left of the page, what is the magnitude of the torque on the coil? Hint: The area of an ellipse is A...
#49,53,57 3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0...
#49,53,57
3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0 and the ove describe of the the rectangular con 050<27. 37. (-1,1) be app 39. (V8, V8) 41. (3.4) 38. (3V3,-3) 40. (-V6, -V2) 42. (1,-2) 44. (0, -V3) your a (a) Yo (b) YO 43. (-6,0) Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x = y *.47. y = x² 49. x = 4 46. x² + y2...
1.2 A satellite P describes an elliptic trajectory about the Earth of center 0. In polar...
1.2 A satellite P describes an elliptic trajectory about the Earth of center 0. In polar coordinates (r, 0) (defined relative to 0) this trajectory is de- scribed by P 1+ e cose where p and e are given constant parameters (0 < e < 1). Furthermore, the motion is such that the quantity r20 is a constant during the motion. De- note by PC this constant. a. What is the dimension of C? b. Show that that the acceleration...
1. A particle of unit mass moves along a trajectory , 2r) θ E (03), and θ E ( a coal, -a cose r(8...
Acceleration in polar coordinates is required
1. A particle of unit mass moves along a trajectory , 2r) θ E (03), and θ E ( a coal, -a cose r(8)--, expressed in plane polar coordinates. The angle 6(t) changes with time according to the equation θ wt. Here a, are positive constants independent of time. (a) [10 marks) Compute the transverse acceleration of the particle (b) [10 marks) Find the force acting on a particle and express it in terms...
If you can show work to prove your question that would be greatly appreciated. Polar coordinates:...
If you can show work to prove
your question that would be greatly appreciated.
Polar coordinates: 13. Describe the following curves: a./ r = 3, b./ r cos 0 = 3 c./ r sin 0 = 3 14. Convert from polar to rectangular coordinates: a./ r = 2 sino b./ r = 2 cos cos 15. Convert from rectangular to polar: a./ y=x2, b./ eV +2+y2 = 1 c./ ry = 1 Area calculation in polar coordinates. - sin
MATLAB, Please answer question 1.
+ ENGR 102 Homework 9 :- 1) An elliptical staircase that decreases in size with height can be modeled by the parametric equations: r cos(t) y-rsint) it m) Where, e-0.04t Ib cos(O)+ [a sin()]- a and b are the semimajor and semiminor axes of the ellipse, h is the staircase height, and n is the number pf revolutions that the staircase makes. Make a 3-D plot of the staircase with a 20 m, b 10...
-/1 points LarCale 11 1 My NetesAsk Your write the equation for the ellipse rotated π/6 radian clockwise from the ellipse shown below &-1 points LawrCakc11 10 6 033 My Notes Ask Your Find a polar equation r for the conic with its focus at the pole and the givern eccentricity and directrix. (For the equation for the directrix is given in rectangular form.) Conic Eccentricity Directrix Parabela e- 1 .-/1 points LarCale11 10.6.035 My Noles Ask Your Find a...
4. Given a point (-3,-) in polar representation, answer each question. a) Plot the point b) Find two additional polar representations, using -2n< < 26 c) Convert to rectangular coordinates. 5. Convert the rectangular point (V3.1) to polar coordinates where 0 <<2 6. Given a polar equation r = 4sin e a) Sketch the graph of the polar equation by completing the table. r 0 FT/6 1/2 5/6 b) Convert the polar equation into a rectangular equation,
An eight turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm (Fig. P19.23). The coil lies in the plane of the page and has a 5.90 A current flowing clockwise around it. If the coil is in a uniform magnetic field of 2.01 × 10-4 T, directed toward the left of the page, what is the magnitude of the torque on the coil? (Hint: The area of an ellipse...
Convert the polar equation to rectangular form and sketch its graph. r = 7 cot(0) csc(O) Step 1 The polar coordinates (r, e) of a point are related to the rectangular coordinates (x, y) of the point as follows. x=rcos(0) cos y = r sin(0) sin e Step 2 The given polar equation can be rewritten as follows. r 7 cote csco 1 r = 7 coto sino 2 sin(0) = 7 coto Converting to rectangular coordinates using x =...
An eight-turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm (see figure). The coll lies in the plane of the page and has a 5.77-A current flowing clockwise around it. If the coil is in a uniform magnetic field of 1.91 x 10" T directed toward the left of the page, what is the magnitude of the torque on the coil? Hint: The area of an ellipse is A...
#49,53,57
3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0 and the ove describe of the the rectangular con 050<27. 37. (-1,1) be app 39. (V8, V8) 41. (3.4) 38. (3V3,-3) 40. (-V6, -V2) 42. (1,-2) 44. (0, -V3) your a (a) Yo (b) YO 43. (-6,0) Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x = y *.47. y = x² 49. x = 4 46. x² + y2...
1.2 A satellite P describes an elliptic trajectory about the Earth of center 0. In polar coordinates (r, 0) (defined relative to 0) this trajectory is de- scribed by P 1+ e cose where p and e are given constant parameters (0 < e < 1). Furthermore, the motion is such that the quantity r20 is a constant during the motion. De- note by PC this constant. a. What is the dimension of C? b. Show that that the acceleration...
Acceleration in polar coordinates is required
1. A particle of unit mass moves along a trajectory , 2r) θ E (03), and θ E ( a coal, -a cose r(8)--, expressed in plane polar coordinates. The angle 6(t) changes with time according to the equation θ wt. Here a, are positive constants independent of time. (a) [10 marks) Compute the transverse acceleration of the particle (b) [10 marks) Find the force acting on a particle and express it in terms...
If you can show work to prove
your question that would be greatly appreciated.
Polar coordinates: 13. Describe the following curves: a./ r = 3, b./ r cos 0 = 3 c./ r sin 0 = 3 14. Convert from polar to rectangular coordinates: a./ r = 2 sino b./ r = 2 cos cos 15. Convert from rectangular to polar: a./ y=x2, b./ eV +2+y2 = 1 c./ ry = 1 Area calculation in polar coordinates. - sin
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