Kinematics - relative velocities

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SUMMARY

The discussion focuses on calculating the relative velocity of wheel B (vB) in a kinematics problem involving two wheels attached to a rod AB. Given that the velocity of wheel A (vA) is 1.5 m/s to the right and the relative velocity of wheel B with respect to wheel A (vB/A) is perpendicular to rod AB, the equation vA + vB/A = vA is established. The challenge lies in determining the angle that rod AB makes with the x-axis, which is necessary for solving the problem accurately. Participants express confusion regarding the absence of angles and seek clarification on applicable formulas.

PREREQUISITES
  • Understanding of kinematic equations, specifically relative velocity concepts.
  • Familiarity with vector addition in two-dimensional motion.
  • Basic knowledge of trigonometry for angle calculations.
  • Ability to interpret and analyze physics problems involving multiple objects.
NEXT STEPS
  • Study vector addition in kinematics to enhance understanding of relative velocities.
  • Learn how to resolve vectors into components, particularly in two-dimensional motion.
  • Research the use of trigonometric functions to find angles in physics problems.
  • Practice similar kinematics problems involving relative motion and angular relationships.
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and relative motion, as well as educators seeking to clarify concepts related to velocity and vector analysis.

srh
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Homework Statement



I have attached a picture of the situation. Small Wheels attached to the ends of rod AB roll along two surfaces. Knowing that at the instant shown the velocity vA of wheel A is 1.5 m/s to the right and the relative velocity vB/A of wheel B with respect to wheel A is perpendicular to rod AB, determine the relative velocity vB/A and velocity vB of wheel B.


Homework Equations


vA+vB/A=vA


The Attempt at a Solution



I understand that vA+vB/A =vA. I know that the component of vA is 1.5m/s in the x direction. The problems that we have done were all with right angles. I know another way to figure out the problem is to draw the vectors but we don't have all the angles. I can't seem to figure out how to find the angle that the rod AB makes w/ the x-axis. Is there a formula that I am missing? I'm just not sure where to start.
 
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Sorry, srh, there doesn't appear to be a picture attached. Can you please try again?
 

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