Angular acceleration, rigid body

In summary, the problem involves a circular disk with mass m and radius r hanging from two ropes with length l. The rope ED snaps, causing the disk to experience an angular acceleration for the rope OB and for the disk itself. The goal is to find the force T acting in OB. One approach is to use known relations between angular accelerations and other quantities such as torque and moment of inertia. Additionally, the disk is a rigid body, so all points on it have the same angular acceleration and velocity. Other factors to consider are the angular speed of the disk at the moment of the rope snapping and the forces acting on the disk.
  • #1
usn7564
63
0

Homework Statement


A circular disk with the mass m and radius r is hanging from two ropes with length l when suddenly the rope ED snaps. For this moment, find:

a, The angular acceleration for the rope OB, the angular acceleration for the disk
b, The force T acting in OB


The Attempt at a Solution


Or lack thereof, really don't know how to approach this without a given ω. I can find some relations between the accelerations at different points but ultimately I'm sitting with a lot of unknowns.
Frankly don't know how to connect the force acting on the disk to any general acceleration.
 

Attachments

  • rope.png
    rope.png
    2.4 KB · Views: 389
Physics news on Phys.org
  • #2
You know the angular speed at the instant when rope ED snaps: the disks is in rest.
The disk is a rigid body: all points have the same angular acceleration and angular velocity. How is the angular acceleration of a rigid body related to other quantities - torque and moment of inertia? ehild
 
  • #3
usn7564 said:
I can find some relations between the accelerations at different points
So post them.
What forces act on the disk?
 

Related to Angular acceleration, rigid body

1. What is angular acceleration?

Angular acceleration is the rate at which the angular velocity of a rigid body changes over time. It is a measure of how quickly the rotation of an object is changing.

2. How is angular acceleration different from linear acceleration?

Angular acceleration is a measure of how fast the rotation of an object is changing, while linear acceleration is a measure of how fast the speed of an object is changing in a straight line. They are two different types of acceleration that occur in different directions.

3. What causes angular acceleration in a rigid body?

Angular acceleration in a rigid body is caused by the application of an external torque, which is a force that causes rotation. This torque causes the object to accelerate and change its angular velocity.

4. How is angular acceleration measured?

Angular acceleration is measured in radians per second squared (rad/s²) or degrees per second squared (deg/s²). It can be calculated by dividing the change in angular velocity by the change in time.

5. How does angular acceleration affect the motion of a rigid body?

Angular acceleration affects the motion of a rigid body by changing its angular velocity and therefore its rotation. A greater angular acceleration will result in a faster change in rotation, while a lower angular acceleration will result in a slower change in rotation.

Similar threads

  • Introductory Physics Homework Help
10
Replies
335
Views
8K
  • Introductory Physics Homework Help
2
Replies
55
Views
822
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
19
Views
4K
  • Introductory Physics Homework Help
Replies
24
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
707
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
15
Views
995
  • Introductory Physics Homework Help
Replies
7
Views
6K
  • Introductory Physics Homework Help
Replies
2
Views
1K
Back
Top