MHB What is the angular velocity of a hinged pole as a truck accelerates?

  • Thread starter Thread starter chunky
  • Start date Start date
  • Tags Tags
    Pole Truck
Click For Summary
To calculate the angular velocity of a hinged pole as a truck accelerates, the pole is released from a vertical position while the truck accelerates at 0.90 m/s². The uniform pole measures 3.6 m in length. The key equations involve relating linear and angular motion, specifically using the relationships between linear velocity, angular velocity, and acceleration. The challenge lies in incorporating the truck's constant acceleration into the equations governing the pole's motion. A correct approach will yield the angular velocity when the pole reaches the horizontal position.
chunky
Messages
5
Reaction score
0
The uniform 3.6 m pole is hinged to the truck bed and released from the vertical position as the truck starts from rest with an acceleration of 0.90 m/s2. If the acceleration remains constant during the motion of the pole, calculate the angular velocity of the pole as it reaches the horizontal position.

I believe I know this question however I wanted to be sure
 
Mathematics news on Phys.org
Please go ahead and post your solution so far, then.
 
Never mind my solution was wrong although I think that using the equations

Vr=0
Vtheta=r*Theta
Ar=-r*Theta(dot)^2
Atheta=r*Theta(double dot)

However i am unsure as to how to add the trucks acceleration into the solution.
 
Thread 'Erroneously  finding discrepancy in transpose rule'
Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 3 ·
Replies
3
Views
7K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 87 ·
3
Replies
87
Views
8K
Replies
1
Views
1K
  • · Replies 18 ·
Replies
18
Views
3K
Replies
4
Views
1K
  • · Replies 12 ·
Replies
12
Views
5K
Replies
5
Views
2K