Dynamics (Kinematics) relative motion, HELP

In summary, the bar AB is rotating with an angular velocity of 10 rad/s, and the task is to determine the velocity of the piston C at θ = 45. Two solutions are provided: one using vector equations and the other using the instantaneous center of zero velocity. The first solution calculates Vb as 2108.2 cm*rad/s and then uses this value to find Vc. The question of which angular velocity to use for the equation is raised.
  • #1
badaboom
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Homework Statement



The bar AB is rotating with an angular velocity w=10rad/s. Determine the velocity of the piston C at the instant θ = 45. Provide the vector solution and the solution with the instantaneous center of zero velocity


Homework Equations


Vb = Va + w x r(b/a)
Vc = Vb + w x r(b/c)
vb = w*r(b/ic)



The Attempt at a Solution


I found Vb (Vb = w*rab) Vb=2108.2 cm*rad/s. Vc = 2108.2cm*rad/s + w*224.6cm. IS the w I use for the equation the one given to me (10 rad/s) or is it another one?
 

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pleaseeeeeeeeeeeeeeee
 

Related to Dynamics (Kinematics) relative motion, HELP

1. What is dynamics (kinematics) relative motion?

Dynamics (kinematics) relative motion is the study of the motion of objects in relation to other objects or reference frames. It involves analyzing the position, velocity, and acceleration of objects as they move in relation to each other.

2. How is relative motion different from absolute motion?

Absolute motion refers to the actual position and motion of an object in space without any reference to other objects. Relative motion, on the other hand, takes into account the motion of an object in relation to another object or reference frame. This means that the same object may have different relative motion depending on the reference frame used.

3. What is a reference frame in dynamics (kinematics) relative motion?

A reference frame is a coordinate system used to describe the position and motion of objects. It can be a fixed point or object, or it can be a moving object such as a car or a person. Choosing a reference frame is important in relative motion because it affects the measurements and calculations of an object's position, velocity, and acceleration.

4. How is velocity calculated in dynamics (kinematics) relative motion?

Velocity is calculated by dividing the change in an object's position by the change in time. In relative motion, the velocity of an object is measured in relation to another object or reference frame. This means that the velocity of an object may be different depending on the chosen reference frame.

5. What is the difference between relative velocity and relative acceleration?

Relative velocity refers to the difference in velocity between two objects or reference frames. It is a measure of how fast one object is moving in relation to another. Relative acceleration, on the other hand, refers to the change in relative velocity over time. It is a measure of how the velocity of an object in relation to another is changing.

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