Engineering Dynamics - Velocity and Acceleration Analysis

AI Thread Summary
The discussion revolves around a dynamics problem involving a rotating rod AB and its connected points A, B, and C. The user calculates the velocity of point B as 3 m/s and determines its acceleration to be 18.06 m/s² using various equations of motion. They also find the angular velocity of rod BC to be 3.75 m/s and its angular acceleration to be 22.575 rad/s². The user expresses uncertainty about their calculations and seeks assistance for clarification. The thread highlights the complexities of velocity and acceleration analysis in engineering dynamics.
ConnorM
Messages
77
Reaction score
1

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?
 
Physics news on Phys.org
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?
 

Similar threads

Replies
3
Views
2K
Replies
30
Views
5K
Replies
10
Views
3K
Replies
1
Views
1K
Replies
5
Views
2K
Replies
12
Views
2K
Replies
1
Views
3K
Replies
5
Views
3K
Replies
3
Views
4K
Back
Top