Instant center of Velocity (check if I did it correctly)

In summary, the question involves finding the velocity of point C and then using the equations V=wr and the sine and cosine laws to calculate the velocities of VB, VD, the angular velocity of BCD, and the angular velocity of AB. The resulting drawing should be checked for accuracy, particularly the direction of VD.
  • #1
SagarPatil
34
2

Homework Statement


Velocity of point C = 0.2 m/s going down
Find VB, VD, Angular velocity of BCD and Angular Velocity of AB

Homework Equations


V=wr
Sine and cosine law

The Attempt at a Solution



Drawing of the question

Please note that BCD is one link (L shape)
 
Last edited:
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  • #2
Your work looks good except for your calculation of vD at the end of your notes. Did you use the correct distance?

Also, did you use the correct distance, r, when calculating ωAB?

Also, since the question asks for velocities rather than speeds, you might need to include directions for the velocities.
 
  • #3
Looks right to me

Ah, I see I didst use the correct radius. Thanks!

Yea, I will put the direction in the end
 
  • #4
Are you using the center of rotation of CBD to find vD?

Your red arrow representing the direction of vD is incorrect.
 
  • #5
TSny said:
Are you using the center of rotation of CBD to find vD?

Your red arrow representing the direction of vD is incorrect.

ok, so I am using the relative velocity to find VD.

The red arrow for vd is Vd/B

Vd is at point D going left an angle of 45 degree (assuming)
 

Related to Instant center of Velocity (check if I did it correctly)

1. What is the Instant Center of Velocity?

The Instant Center of Velocity (ICV) is a point in a moving body where all particles of that body have zero velocity at a given instant in time. It is also known as the instantaneous center of rotation or instantaneous center of zero velocity.

2. How is the Instant Center of Velocity calculated?

The ICV is calculated using the relative velocities of two points on a rigid body. The ICV is located at the intersection of the perpendicular bisectors of the lines joining the two points and their corresponding velocities.

3. What is the significance of the Instant Center of Velocity?

The ICV is significant in kinematics as it helps determine the direction and magnitude of the angular velocity of a rigid body. It is also used in the analysis of planar motion and the design of mechanisms.

4. Can the Instant Center of Velocity change?

Yes, the ICV can change as the body moves and its particles change their velocity. The ICV will always be located at the intersection of the perpendicular bisectors of the lines joining two points with their corresponding velocities at a given instant in time.

5. How is the Instant Center of Velocity used in real-world applications?

The ICV is used in various fields such as robotics, biomechanics, and vehicle dynamics. It is used to analyze and design complex systems that involve rotational motion, such as robotic arms, human body movements, and vehicle suspensions.

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