The uniform 12-foot pole is hinged to the truck bed and perfectly balanced at rest, when the truck accelerates at a constant of 3 fu/s² to the right. Find the angular velocity of the pole when the pole passes the horizontal position. Hints: • Draw the FBD and KD of the pole at an arbitrary angle between vertical and horizontal. Make that angle a variable 0. • Trick that works o Break ac into components ag=ao+aGo+aGo Draw each one acting at G on the KD. o Then Mo = Ica + ma,d can be rewritten as ΣMo = loa+maod,+ mac/otdz + mac/ond3, where each acceleration component has a different d based on the direction of that acceleration component. You should see that dy-0. From the moment equation, find a="something"(g sino + accos 6) Find by integrating do= 0 da to get an answer less than 10 rad/s.

The uniform 12-foot pole is hinged to the truck bed and perfectly balanced at rest, when the truck accelerates at a constant of 3 fu/s² to the right. Find the angular velocity of the pole when the pole passes the horizontal position. Hints: • Draw the FBD and KD of the pole at an arbitrary angle between vertical and horizontal. Make that angle a variable 0. • Trick that works o Break ac into components ag=ao+aGo+aGo Draw each one acting at G on the KD. o Then Mo = Ica + ma,d can be rewritten as ΣMo = loa+maod,+ mac/otdz + mac/ond3, where each acceleration component has a different d based on the direction of that acceleration component. You should see that dy-0. From the moment equation, find a="something"(g sino + accos 6) Find by integrating do= 0 da to get an answer less than 10 rad/s.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.11P

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