Coursework help? Moment of inertia/radius of gyration/velocity question

  • Thread starter Thread starter bobmarly12345
  • Start date Start date
  • Tags Tags
    Coursework Moment
Click For Summary
SUMMARY

The discussion centers on a physics problem involving the coupling of an engine to a rotating drum via a friction clutch. The engine has a moment of inertia equivalent to a mass of 40 kg with a radius of gyration of 112 mm, while the drum has a mass of 12 kg and a radius of gyration of 129 mm. The initial velocity of the engine is 11 rev/s, and the drum starts from rest. The solution requires applying the principle of conservation of angular momentum to find the combined velocity of the engine and drum immediately after connection.

PREREQUISITES
  • Understanding of moment of inertia and radius of gyration
  • Knowledge of angular momentum conservation principles
  • Familiarity with rotational dynamics
  • Basic algebra for solving equations
NEXT STEPS
  • Study the conservation of angular momentum in rotational systems
  • Learn how to calculate moment of inertia for various shapes
  • Explore the effects of friction clutches in mechanical systems
  • Practice solving problems involving coupled rotating bodies
USEFUL FOR

Students in physics or engineering disciplines, particularly those studying dynamics and rotational motion, will benefit from this discussion.

bobmarly12345
Messages
26
Reaction score
0
Coursework help!? Moment of inertia/radius of gyration/velocity question

Homework Statement




An engine is suddenly coupled to a rotating drum by a friction clutch. The moment of inertia of the engine is equivalent to a mass of 40Kg acting with a radius gyration of 112mm. The drum has a mass of 12Kg and a radius of gyration of 129mm. The initial velocity of the engine before engagement is 11 rev/s and the drum is initially at rest. Find the velocity of engine and drum immediately after connection.



Have no idea where to start, any help would be great thanks?
 
Physics news on Phys.org
welcome to pf!

hi bobmarly12345! welcome to pf! :smile:
bobmarly12345 said:
An engine is suddenly coupled to a rotating drum by a friction clutch. The moment of inertia of the engine is equivalent to a mass of 40Kg acting with a radius gyration of 112mm. The drum has a mass of 12Kg and a radius of gyration of 129mm. The initial velocity of the engine before engagement is 11 rev/s and the drum is initially at rest. Find the velocity of engine and drum immediately after connection.

this is a collision, so energy isn't conserved, but angular momentum is conserved

so use conservation of angular momentum …

what do you get? :smile:​
 

Similar threads

Kinectics of particles. impact between 2 bodies 1 of which is stationary
  • · Replies 6 ·
Replies
6
Views
2K
Dynamics of a Suspended Mass on a Grooved Drum
  • · Replies 10 ·
Replies
10
Views
2K
Polar moment of inertia/polar radius of gyration via integration
  • · Replies 1 ·
Replies
1
Views
8K
HNC Dynamics help please -- Hoist cable looped over a winding drum
  • · Replies 1 ·
Replies
1
Views
3K
Radius of gyration for a flywheel
  • · Replies 4 ·
Replies
4
Views
18K
Calculating Moment of Inertia for Hollow Cylinder w/ Water
  • · Replies 40 ·
2
Replies
40
Views
6K
Understanding Angular Velocity and Torque: Solving for Final Angular Velocity
  • · Replies 5 ·
Replies
5
Views
3K
Moments of Inertia: Hi, Need Help Understanding?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad How to transfer angular momentum between two flywheels?
  • · Replies 8 ·
Replies
8
Views
3K
Homework Help: Calculating Moment of Inertia & Radius of Gyration
  • · Replies 4 ·
Replies
4
Views
11K