{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

EX13.1 Dependent Motion Example

EX13.1 Dependent Motion Example - the pulley Also h is a...

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

View Full Document Right Arrow Icon
Relate the velocities and accelerations of Block B and Block A. Need to write an expression for the length of the cable – label distances on the picture and write your equation Can you Determine the velocity relationship? Can you Determine the acceleration relationship EX13.1 Dependent Motion Example What is your first step? Solution: Problem Type: Find: Given: Geometry v A in terms of v B , a A in terms of a B Constrained Motion Reflection: As Block B moves downward, Block A moves to the left. You must be consistent with your sign conventions! Note that s B is only defined to the center of the pulley above block B, since this block moves with
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: the pulley. Also, h is a constant no matter how the blocks move. Finally the red colored segments of the cable remain constant as the blocks move. L = 2s B + h + s A + constant Where L is the total cord length and “constant” equals the lengths of the red segments . 2v B = -v A 0=2 v B +v A 2a B = -a A Problem can also be worked by defining the position of mass B from the bottom pulley instead of the top pulley. The position, velocity, and acceleration relations then become 2(h – s B ) + h + s A = L and 2v B = v A 2a B = a A Sketch:...
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