{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Pre-Calc Exam Notes 18

Pre-Calc Exam Notes 18 - θ with the line OA The...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
18 Chapter 1 Right Triangle Trigonometry §1.3 Example1.18 A slider-crank mechanism is shown in Figure 1.3.2 below. As the piston moves downward the con- necting rod rotates the crank in the clockwise direction, as indicated. connecting rod b A B O crank a c C r θ piston Figure 1.3.2 Slider-crank mechanism The point A is the center of the connecting rod’s wrist pin and only moves vertically. The point B is the center of the crank pin and moves around a circle of radius r centered at the point O , which is directly below A and does not move. As the crank rotates it makes an angle
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: θ with the line OA . The instantaneous center of rotation of the connecting rod at a given time is the point C where the horizontal line through A intersects the extended line through O and B . From Figure 1.3.2 we see that ∠ OAC = 90 ◦ , and we let a = AC , b = AB , and c = BC . In the exercises you will show that for ◦ < θ < 90 ◦ , c = r b 2 − r 2 sin 2 θ cos θ and a = r sin θ + r b 2 − r 2 sin 2 θ tan θ ....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern