Dynamics_Part59 - Problem Set 8 Problem 3 Problem For the...

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Problem Set 8: Problem 3. Problem: For the switching device shown, the vertical control rod has a downward velocity v = -v j. If roller A is in continuous contact with the frictionless horizontal surface, determine the velocity of roller C as a function of v and . y ................ . . . . . . . . . . . . . ... . ................... . .................... . .. . . x Solution: We begin by noting that the velocity of roller A is vA = vB + B rA/B where we must determine angular velocity B . We know that vB = -v j as the control rod is constrained to move vertically. Also, we see from the geometry that rA/B = L sin i - L cos j So, the velocity of roller A is vA = -v j + B k (L sin i - L cos j) = -v j + B L(sin j + cos i) Regrouping terms, we conclude that vA = B L cos i + (B L sin - v) j But, roller A is constrained to move horizontally so that vAy = 0, which tells us that B L sin - v = 0 Turning now to roller C, we have and the geometry is such that Thus, we can say vC = -v j + vC = vB + B rC/B rC/B = -L sin i + L cos j v v k (-L sin i + L cos j) = -v j + L(- sin j - cos i) L sin L sin vC = -v cot i - 2v j = B = v L sin Regrouping terms, we conclude that ...
View Full Document

This note was uploaded on 05/12/2010 for the course AME 301 taught by Professor Shiflett during the Spring '06 term at USC.

Ask a homework question - tutors are online