numerical method We want to design a ball throwing robot arm that will throw a ball withinitial velocity Vo at an angle 0 to the ground plane. Assuming that therobot arm is at coordinates r = 0 the ball will hit the ground atVở sin 20If -where g = 9.8 is the gravitational constant.We want to ensure that the ball hits the ground at rfmeters. Unfortunately, we are not free to choose the necessary Vo and 0since the robot design constrains the speed to be a function of the angle as0.1730861Vo = k(1+ cos 0)where k = 0.75 is a design parameter.a. Write down a single constraint in terms of 0 that ensures that the ballhits the ground at the given value of xf.b. Convert the solution of 0 into a root finding problem, then solve thisproblem by searching for 0 in the interval (0°, 40°).c. Calculate the necessary Vo for the 0 you have found.Hint: Although the 0 range is given in degrees, perform the calculations inradians. Note that 360° = 2A radians.%3D

Given :- The robot arm is at coordinates x =0 the ball will hit the ground at xf = V02 sin 2θg…

We want to design a ball throwing robot arm that will throw a ball with initial velocity V at an angle 0 to the ground plane. Assuming that the robot arm is at coordinates r = 0 the ball will hit the ground at V sin 20 If where g = 9.8 is the gravitational constant. We want to ensure that the ball hits the ground at rf = 0.1730861 meters. Unfortunately, we are not free to choose the necessary Vo and 0 since the robot design constrains the speed to be a function of the angle as Vo = k(1+ cos 0) where k = 0.75 is a design parameter. a. Write down a single constraint in terms of 0 that ensures that the ball hits the ground at the given value of xf.

We want to design a ball throwing robot arm that will throw a ball with initial velocity V at an angle 0 to the ground plane. Assuming that the robot arm is at coordinates r = 0 the ball will hit the ground at V sin 20 If where g = 9.8 is the gravitational constant. We want to ensure that the ball hits the ground at rf = 0.1730861 meters. Unfortunately, we are not free to choose the necessary Vo and 0 since the robot design constrains the speed to be a function of the angle as Vo = k(1+ cos 0) where k = 0.75 is a design parameter. a. Write down a single constraint in terms of 0 that ensures that the ball hits the ground at the given value of xf.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Suppose we have some approximation N(h) to M, and we know that N(h) = M + C¡h+ C2h² + C3h³ +0 (h*) .…

Q: Methods of Antegratiorn 99 Techniques of Antegrad u U. Substitution E Evaluate sVitxz dx

Q: Question no. 1 Describe and the solution set of x, +5x2 -3x3 = 0 and x, + 5xr, – 3x, = -2 compare…

A: Solution: Consider the given set of equations : x1 + 5x2 -3x3 = 0x1 + 5x2 -3x3 = -2 Since the…

Q: How to use foil method?

A: Foil Method: The abbreviation FOIL is first outside inside last

Q: Ratio

A: A ratio indicates how many times one number contains another. For example, if there are 8 oranges…

Q: X V4X + dx

A: Substitution method helps us to solve the integration easily. ∫xndx = xn+1/(n+1) + c, where c…

Q: L-1 1 (s²+1)³

Q: just wondering why is the washer method used and not the shell? could you have used either or it had…

Q: Joxe 4x dx = +C

Q: Prove that r(2K2,K3) = 5.

A: The objective is to prove that r2K2,K3=5 In a red blue colored K6 let it be K1,5 since all edges are…

Q: 2/3 (6-3/2)

Q: on Harris actoring steps are based on the Not ksheet clockwise to the next person it your table, and…

Q: 4/5(-15/11)

A: The given fractions are,

Q: In a large clinical trial, 397,948 children were randomly assigned to two groups. The treatment…

Q: Same Direction Travel :A passenger plane left the airport and flew south. A cargo plane left one…

A: Given data: *The speed of the cargo plane left one hour after the passenger and flew south is v=40…

Q: missing solution for part D !

A: Here, , , and .

Q: Profit ($) = -13 + 0.09 *counter Sales ($) + 0.03 * Drive through sales How many extra counter…

Q: Total utility enjoyed by a naughty IUP student from bullyin his classmates is shown by u=m²f3, where…

A: The total utility function given for the naughty student who enjoys from bullying students is as…

Q: True or false: A formula is a rule that relates two or more quantities to one another. O True O…

A: We have to find whether the given statement is true or false.

Q: Pleaase do handwritten solution in part 2 nd 3 because I couldn't understand it thank you

Q: M - 30 39 22 31 23 ' 4 न्या -58 -33 -46 -34 / 2 / 3 2

A: By multiplication of matrix, Column by column multiplication

Q: ou apply it? why do you apply it?

A: Correction Factor: This factor is applied when there is a change or it is deviating from the…

Q: (s+1)* (s+2)

Q: Equation n +7 = 10 n = 3 3+7 = 10 Tru x- 5 10 x = 5 3b = 18 b 15 %3D 5и 3D 20 u = 4 = 2 x = 15 2 w =…

A: To solve the table

Q: 5. G4)= +3 こ G(4)= 11

A: G(y)=y2y+35

Q: Mayati's solution

A: Given:

Q: initial deflection

Q: Sy3(a²-y?) 3 2 ANSWER: (3yd 15

Q: x+13 8 (x) = %3D h= (-9, 8), (-4, 9), (5, 7), (7, 4). (9. 5)} Find the following.

A: The given function is gx=x+135. Replace x by g-1x and gx by x and simplify as follows.…

Question

numerical method

We want to design a ball throwing robot arm that will throw a ball with
initial velocity Vo at an angle 0 to the ground plane. Assuming that the
robot arm is at coordinates r = 0 the ball will hit the ground at
Vở sin 20
If -
where g = 9.8 is the gravitational constant.
We want to ensure that the ball hits the ground at rf
meters. Unfortunately, we are not free to choose the necessary Vo and 0
since the robot design constrains the speed to be a function of the angle as
0.1730861
Vo = k(1+ cos 0)
where k = 0.75 is a design parameter.
a. Write down a single constraint in terms of 0 that ensures that the ball
hits the ground at the given value of xf.
b. Convert the solution of 0 into a root finding problem, then solve this
problem by searching for 0 in the interval (0°, 40°).
c. Calculate the necessary Vo for the 0 you have found.
Hint: Although the 0 range is given in degrees, perform the calculations in
radians. Note that 360° = 2A radians.
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Matrix Factorization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

The general solution of the linear DE y'-2y36e5x is Select one: O A. y=6e*+Ce-2x O B. y=2e*+Ce-2x OC. y=6e5x+Ce2x O D. y=2e5x+Ce2x
Name: Pd Weekly Work 2.4 Weekly work is always due on Fridays. They will always have 8 problems that were previously learned from other Units and 1 problem from our current lesson. You MUST show your work! 1.1-(-3)= 4 2.-4.6(3.25) = -14.95 3. -111 +(-54) = -165 -4-6x325 -111+(-su) 7. 19 12-(-34) 114.75 4. Solve for x =15 x= 45 5x3 ² (-3) = -2, -² Date: 8. 125.6 -0.2 299 5. Write 0.42 as a percent= 42 100 201-14 17 =-6628 6. Jane bought 3lbs of apples for $7.50. Fill in the table which shows the relationship between the price of apples (y) and the weight (x). Pounds 0 1 Price 123÷1 # of Trees 2 123 9. Write an equation for the proportional relationship. 3 669 7th 10 12 2 3 # of Apples 13 26 39 78 130 146 y=13*
first ode , proof the answer (separating the variable)
Initial Knowledge: Check lultiply. (u+2)(u-5) mplify your answer.
Struggling with this trying to help my son solve, any help is welcome and appreciated
How to Compute the sum of squares Y?
numerical method
x+1 Given the replacement value of x = 2, find the value of *+4x+3 5 Type here to search F4 F5 F7 F8 F9 F10 @ $ % & 1 2 4 5 6 7 8. Q W E R I
Find k such that the following matrix M is not invertible. 2 P k = M = -1] 7 −5+ k -4 5 1 -6 -6
100(1, +12)+300(1,-)+ 2501, -0 Original form of equation ..distributing to terms within parentheses... 1001, + 1001, +3001, - 3001, +2501, = 0 ..combining like terms... 1001, + 6501, - 3001, = 0 Simplified form of equation
so how can you find the LCM easiest way possible
Integrating Factor by Inspection