Conceptual Dynamics - Independent Learning

Rotation about a Fixed Axis - Conceptual Example 6.6-2

 

Consider a pendulum that is released from the position shown and falls under the influence of gravity. What affect do you think increasing the size of msphere, mbar, L and r have on the angular acceleration (α)? Check your assertions.

 

 

Sphere

 

msphere = kg         r = m

 

Bar

 

mbar = kg         L = m

 

Angular acceleration

 

α = rad/s2

 

 

Equations used to calculate α

 

α = ∑MO/IO

 

IO,bar = (1/3)mbarL2

 

IO,sphere = (2/5)mspherer2 + msphere(L + r)2

 

What effect does increasing msphere have on the angular acceleration (α)?

 




 

 

 

 

 

What effect does increasing mrod have on the angular acceleration (α)?

 




 

 

 

 

 

What effect does increasing r have on the angular acceleration (α)?

 




 

 

 

 

 

What effect does increasing L have on the angular acceleration (α)?