WeBWork M 201FA16 Homework10 6107 9 Google Chrome https webw

WeBWork M 2-01-FA16 Homework10. 6-10.7 9 Google Chrome https:// webwork clayton.edu /webwork 2/M 2-01-FA16/Homework 10.6-10.7/9/?effectiveUser kmagby3&user; kmagby3&key; sDjZVezi9u5cb7DcXunuRoePZNcyZcz WeBWorK Log Out Logged in as kmagby3 MATHEMATICAL ASSOCIATION 0F AMERICA MAIN MENU K webwork m 2-01-fa16 homework 10.6-10.7 9 Courses Homework Sets Homework 10.6-10.7: Problem 9 Homework 10.6-10.7 Problem 9 Previous Problem List Next User Settings Grades (1 point) Problems A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the center of the wheel. The wheel begins to roll to the right along the the x-axis. The curve traced out by P is given by the following parametric equations: 90- 5 sin 9-5 cos (0) Problem 1 Problem What must we have for R and d? Problem 3 Problem 4 Problem 5 V Problem 6 Problem 7 Note: You can earn partial credit on this problem. Problem 8 Preview My Answers Submit Answers Problem 9 Problem 10 You have attempted this problem 0 times. Problem 11 You have unlimited attempts remaining Problem 12 Problem 13. Email instructor Pa dill E /11/2016

Solution

y=9-5cos()
Since cos() is always in between -1 and 1,
the biggest value of y is when cos()=-1 : y=9-5(-1)=9+5=14
the smallest value of y is when cos()=+1 : y=9-5(+1)=9-5=4
Here,
R+d=14
R-d=4
adding these two we get
2R=14+4
2R=18
R=9, d=14-R => 14-9=5

Since this is the height of the point P, we know that the center of the wheel is at y=9 and P is placed 5cm from the center of the wheel. This means that (the distance from the center to the ground is the radius) R=9 and d=5