Engineering Dynamics - Velocity and Acceleration Analysis

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SUMMARY

The discussion focuses on the analysis of velocity and acceleration in a rotating rod system, specifically Rod AB with an angular velocity of 6 rad/s and angular acceleration of 3 rad/s². The calculations for the velocity of point B yielded 3 m/s, while the total acceleration of point B was determined to be 18.06 m/s² using the normal and tangential acceleration equations. The angular velocity of rod BC was calculated as 3.75 m/s, and the angular acceleration was found to be 22.575 rad/s². The participant seeks clarification on their calculations and the application of the relevant equations.

PREREQUISITES
  • Understanding of angular motion concepts, including angular velocity and acceleration.
  • Familiarity with kinematic equations for rotational motion.
  • Proficiency in applying the Pythagorean theorem in physics problems.
  • Knowledge of the relationships between linear and angular quantities in mechanics.
NEXT STEPS
  • Review the derivation and application of the kinematic equations for rotational motion.
  • Study the relationship between linear and angular velocity in rotating systems.
  • Explore the concept of normal and tangential acceleration in detail.
  • Practice solving similar problems involving multiple connected rods and their motion.
USEFUL FOR

Students studying engineering dynamics, particularly those focusing on rotational motion and kinematics, as well as educators seeking to enhance their teaching methods in mechanics.

ConnorM
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Homework Statement


Here is a picture of the problem! http://imgur.com/suJxZ0F
Also here it is in text,

Rod AB rotates with the angular velocity and acceleration clockwise as shown. Points A,B and C are pin connected. Point C is free to slide horizontally as shown in the figure at the instant shown determine

The velocity and acceleration of point B
The angular velocity and acceleration of rod BC, omegaBC, alphaBC
The acceleration of point C

omegaAB = 6 rad/s
alphaAB = 3 rad/s
length of rod AB = 0.5 m
length of rod BC = 0.8 m

Homework Equations


v = ωr (1)
an = ω2r (2)
at = αr (3)
vb = va + vb/a (4)
ab = aa + ab/a (5)

ωdω = αdθ (6)[/B]

The Attempt at a Solution


[/B]
First I found the velocity of B as 3 m/s but using equation (1) and the angular velocity and length of the rod AB. Next I determined the normal and tangential acceleration of B by using equations (2)(3) and the angular acceleration, angular velocity, and length of rod AB. From the normal and tangential acceleration I used Pythagorean theorem to find the acceleration of point B = 18.06 m/s2. Next I got the angular velocity of BC by using equation (1) and using the length of BC as well as the velocity of B = 3.75 m/s. Next I found the angular acceleration of BC by using equation 3 and the acceleration of B and the length of BC, the angular acceleration I found was 22.575 rad/s2. I don't think I am doing this right, could somebody help me?
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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