Finding Angular and Linear Velocity in a Sliding Bar System

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In summary, using the given velocity and applying the law of sines and V=rω, we can determine the angular velocity of the bar to be ω=1.394 rad/s and the velocity of end A to be VA=0.408 m/s down. It is important to note that the components of velocity for each end of the rod must be the same in order for the length of the rod to remain constant.
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Homework Statement



The ends of the slender bar remain in contact with their respective support surfaces. If end has a velocity in the direction shown, determine the angular velocity of the bar and the velocity of end.

Answers:
ω=1.394 rad/s VA=0.408 m/s down

attachment.php?attachmentid=57030&stc=1&d=1364086950.png

Homework Equations



Va=Vb +Va/b
law of sines
V=rw

The Attempt at a Solution



I've tried using the angles given to use the law of sines and the velocity given into find Va/b or Va and then using V=rω to find the angular velocity but have had no luck. Any help would be appreciated
 

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Hint: Each end of the rod has a component of it's velocity in the direction of the rod. These components must be the same or the length of the rod would change.
 

1. What is relative motion in a sliding bar?

Relative motion in a sliding bar refers to the motion of the bar relative to another object or reference point. It takes into account both the motion of the bar and the motion of the reference point, and describes how the bar's motion appears in relation to the reference point.

2. How is relative motion calculated in a sliding bar?

Relative motion in a sliding bar can be calculated using vector addition. This involves breaking down the motion of the bar into its horizontal and vertical components, and then adding these components to the motion of the reference point.

3. How does friction affect relative motion in a sliding bar?

Friction can have a significant impact on relative motion in a sliding bar. It can either increase or decrease the relative motion, depending on the direction of the frictional force and the angle at which the bar is sliding.

4. What are the applications of relative motion in a sliding bar?

Relative motion in a sliding bar has several real-world applications, including in sports such as ice skating, where the relative motion between the skater's feet and the ice determines their speed and direction of movement. It is also important in engineering, where it is used to design and analyze mechanisms such as gears and pulleys.

5. How does the mass of the sliding bar affect relative motion?

The mass of the sliding bar can affect relative motion in several ways. A heavier bar will have a greater inertia, making it more difficult to change its motion. It can also affect the frictional forces acting on the bar, which can impact its relative motion. Additionally, the mass of the bar can impact the forces required to move it, which can affect its relative motion as well.

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