When a bird flies into a bar; solving for angular velocity

Click For Summary
SUMMARY

The discussion focuses on calculating the angular velocity of a bar after being struck by a bird. A 550.0g bird flying at 2.20m/s collides with a stationary vertical bar, which is 0.730m long and weighs 2.20kg. The correct angular velocity of the bar immediately after the collision is determined to be 1.486 rad/s. The calculations utilize the principles of kinetic energy and the moment of inertia of the bar.

PREREQUISITES
  • Understanding of angular momentum and angular velocity
  • Familiarity with kinetic energy equations
  • Knowledge of moment of inertia calculations
  • Basic physics concepts related to collisions
NEXT STEPS
  • Study the derivation of the moment of inertia for various shapes
  • Learn about conservation of angular momentum in collisions
  • Explore the relationship between linear and angular velocity
  • Investigate real-world applications of angular velocity in mechanics
USEFUL FOR

Physics students, educators, and anyone interested in mechanics and dynamics, particularly in understanding collisions and angular motion.

tylertwh
Messages
22
Reaction score
0

Homework Statement



A 550.0g bird is flying horizontally at 2.20m/s , not paying much attention, when it suddenly flies into a stationary vertical bar, hitting it 25.0cm below the top. The bar is uniform, 0.730m long, has a mass of 2.20kg , and is hinged at its base. The collision stuns the bird so that it just drops to the ground afterward (but soon recovers to fly happily away).

0.55 kg = mass of bird
2.2 m/s = velocity of bird
0.48 m = distance from axis of rotation bird hits bar
0.73 m = length of bar
2.2 kg = mass of bar

A)What is the angular velocity of the bar just after it is hit by the bird?

B)What is the angular velocity of the bar just as it reaches the ground?

Homework Equations



KE(bird) = (1/2)mv2
KE(bar) = (1/2)Iω2
I(bar) = (1/3)mr2

The Attempt at a Solution



(1/2)mv2 = (1/6)mr2ω2
ω = 2.75
INCORRECT

For part B I can't solve until I have the answer to part A
 
Physics news on Phys.org
I found my mistake for part A.

The answer to part A is 1.486
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
8K
  • · Replies 11 ·
Replies
11
Views
5K
Replies
10
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 11 ·
Replies
11
Views
6K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 14 ·
Replies
14
Views
2K
Replies
3
Views
5K