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4. Parameterization a) Find the parameterization of the trajectory from A to B. b) Determine the...
с 1. Determine the work done by force F along the path C, that is, compute...
с 1. Determine the work done by force F along the path C, that is, compute the line integral F.dr from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = ff.dr =[F(F(t)). 7"(t)dt с с Use F = (-y)ỉ +(x)ì in Newtons. and use a = 4 and b = 5 meters in the figure. Parameterization of a straight line: Remember that for any...
2. Determine the work done by force F along the path C, that is, compute the...
2. Determine the work done by force F along the path C, that is, compute the line integral SF. dr from point A to point B. You need to find the parameterization of the curve C с and use it to find the line integral: Work = [F-di =[F(F(t).F"(t)dt Use F = (-yx) { +(x²) j in Newtons. and use a = 3 meters in the figure. Parameterization of a circle: Remember that for a circle: r(t) = [rcos(t) rsin(t)...
Problem 2 2. Determine the work done by force along the path C, that is, compute...
Problem 2 2. Determine the work done by force along the path C, that is, compute the line integral SF.df from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = [F.dř =[F(F(t)). F"(t)dt с Use F = (-yx) { +(x²) j in Newtons. and use a = 3 meters in the figure. Parameterization of a circle: Remember that for a circle: F(t)=[rcos(t) rsin(t) 0);...
Problem 1 1. Determine the work done by force F along the path C, that is,...
Problem 1 1. Determine the work done by force F along the path C, that is, compute the line integral Si di from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = [ Fudi =[F(F(t)."(t)dt Use F = (- y) { +(x)ì in Newtons. and use a = 4 and b = 5 meters in the figure. Parameterization of a straight line: Remember that...
A bullet follows the trajectory c(t) = (1207 - 20, 1501 - 4.912). Describe this trajectory...
A bullet follows the trajectory c(t) = (1207 - 20, 1501 - 4.912). Describe this trajectory in the form y = f(x). (Use symbolic notation and fractions where needed.) y = 30 Find the equation of the tangent line to the cycloid generated by a circle of radius r = 1 ati => (Use symbolic notation and fractions where needed. ) y =
need explanation plz r-20m 6-60m 2. Consider the image above that shows the trajectory of a...
need explanation plz
r-20m 6-60m 2. Consider the image above that shows the trajectory of a roller coaster car. The roller coaster car has a mass of 200kg and is released from rest at position A. a. Find the velocity of the car at positions B, C, and D b. Determine the maximum possible radius of the circle such that the car will not lose contact with the track c. Suppose a breaking force (F 10 newtons) is applied as...
Can Someone help with problems 4 and 5? Problem 4. A circular-shaped archery target has three...
Can Someone help with problems 4 and 5?
Problem 4. A circular-shaped archery target has three concentric circles painted on it. The in- nermost circle has a radius of 1/V3 feet, the middle has a radius of 1 foot, and the outermost circle has a radius of v3 feet. An arrow hitting in the innermost circle counts for 4 points, between the in nermost and middle circle 3 points, between the middle and outermost circle 2 points, and not hitting...
20m Consider the image above that shows the trajectory of a roller coaster car. The roller...
20m Consider the image above that shows the trajectory of a roller coaster car. The roller coaster car has a mass of 200kg and is released from rest at position A. 2. a. Find the velocity of the car at positions B, C, and D b. Determine the maximum possible radius of the circle such that the car will not lose contact with the track. C. Suppose a breaking force (F 10 newtons) is applied as the car traverses the...
Consider a point charge q moving arbitrar ily along a trajectory described by vector function of...
Consider a point charge q moving arbitrar ily along a trajectory described by vector function of time r (t). The velocity of the charge is thus V(t)- di,(t)/dt. Suppose Q and Q'represent points on the trajectory where the charge is at time t and was at an earlier time t'. Let R(t) F r,(t) be the vector from the charge to the fixed point P as shown in the figure of particle re volume element de r" a) Prove the...
Consider a point charge q moving arbitrar ily along a trajectory described by vector function of time r (t). The velocity of the charge is thus V(t)- di,(t)/dt. Suppose Q and Q'represent points o...
Consider a point charge q moving arbitrar ily along a trajectory described by vector function of time r (t). The velocity of the charge is thus V(t)- di,(t)/dt. Suppose Q and Q'represent points on the trajectory where the charge is at time t and was at an earlier time t'. Let R(t) F r,(t) be the vector from the charge to the fixed point P as shown in the figure of particle re volume element de r" a) Prove the...
с 1. Determine the work done by force F along the path C, that is, compute the line integral F.dr from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = ff.dr =[F(F(t)). 7"(t)dt с с Use F = (-y)ỉ +(x)ì in Newtons. and use a = 4 and b = 5 meters in the figure. Parameterization of a straight line: Remember that for any...
2. Determine the work done by force F along the path C, that is, compute the line integral SF. dr from point A to point B. You need to find the parameterization of the curve C с and use it to find the line integral: Work = [F-di =[F(F(t).F"(t)dt Use F = (-yx) { +(x²) j in Newtons. and use a = 3 meters in the figure. Parameterization of a circle: Remember that for a circle: r(t) = [rcos(t) rsin(t)...
Problem 2 2. Determine the work done by force along the path C, that is, compute the line integral SF.df from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = [F.dř =[F(F(t)). F"(t)dt с Use F = (-yx) { +(x²) j in Newtons. and use a = 3 meters in the figure. Parameterization of a circle: Remember that for a circle: F(t)=[rcos(t) rsin(t) 0);...
Problem 1 1. Determine the work done by force F along the path C, that is, compute the line integral Si di from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = [ Fudi =[F(F(t)."(t)dt Use F = (- y) { +(x)ì in Newtons. and use a = 4 and b = 5 meters in the figure. Parameterization of a straight line: Remember that...
A bullet follows the trajectory c(t) = (1207 - 20, 1501 - 4.912). Describe this trajectory in the form y = f(x). (Use symbolic notation and fractions where needed.) y = 30 Find the equation of the tangent line to the cycloid generated by a circle of radius r = 1 ati => (Use symbolic notation and fractions where needed. ) y =
need explanation plz
r-20m 6-60m 2. Consider the image above that shows the trajectory of a roller coaster car. The roller coaster car has a mass of 200kg and is released from rest at position A. a. Find the velocity of the car at positions B, C, and D b. Determine the maximum possible radius of the circle such that the car will not lose contact with the track c. Suppose a breaking force (F 10 newtons) is applied as...
Can Someone help with problems 4 and 5?
Problem 4. A circular-shaped archery target has three concentric circles painted on it. The in- nermost circle has a radius of 1/V3 feet, the middle has a radius of 1 foot, and the outermost circle has a radius of v3 feet. An arrow hitting in the innermost circle counts for 4 points, between the in nermost and middle circle 3 points, between the middle and outermost circle 2 points, and not hitting...
20m Consider the image above that shows the trajectory of a roller coaster car. The roller coaster car has a mass of 200kg and is released from rest at position A. 2. a. Find the velocity of the car at positions B, C, and D b. Determine the maximum possible radius of the circle such that the car will not lose contact with the track. C. Suppose a breaking force (F 10 newtons) is applied as the car traverses the...
Consider a point charge q moving arbitrar ily along a trajectory described by vector function of time r (t). The velocity of the charge is thus V(t)- di,(t)/dt. Suppose Q and Q'represent points on the trajectory where the charge is at time t and was at an earlier time t'. Let R(t) F r,(t) be the vector from the charge to the fixed point P as shown in the figure of particle re volume element de r" a) Prove the...
Consider a point charge q moving arbitrar ily along a trajectory described by vector function of time r (t). The velocity of the charge is thus V(t)- di,(t)/dt. Suppose Q and Q'represent points on the trajectory where the charge is at time t and was at an earlier time t'. Let R(t) F r,(t) be the vector from the charge to the fixed point P as shown in the figure of particle re volume element de r" a) Prove the...
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