Conservation of Energy in a Block-Cylinder System

Click For Summary
SUMMARY

The discussion centers on the conservation of energy in a block-cylinder system involving a 3.35 kg block and a 1.22 kg hollow cylinder with a diameter of 5.03 cm. The block is released from a height of 1.11 m, and as it descends, its gravitational potential energy is converted into both translational kinetic energy of the block and rotational kinetic energy of the cylinder. The key conclusion is that energy is conserved throughout this process, confirming the principles of mechanics in circular motion and free fall scenarios.

PREREQUISITES
  • Understanding of gravitational potential energy
  • Knowledge of translational and rotational kinetic energy
  • Familiarity with the principles of conservation of energy
  • Basic concepts of circular motion mechanics
NEXT STEPS
  • Study the equations for gravitational potential energy and kinetic energy
  • Learn about the moment of inertia for hollow cylinders
  • Explore the relationship between linear and angular velocity in rotating systems
  • Investigate real-world applications of energy conservation in mechanical systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding energy conservation in dynamic systems.

shashusad
Messages
4
Reaction score
0
I have this question on my Circular motion assignment, but its somehow connected to free fall. I'm unable to picturize the situation mentioned in question...

A 3.35 kg block is attached to a string that is wrapped around a 1.22 kg, 5.03 cm diameter hollow cylinder that is free to rotate on an axel through the center. The block is released 1.11 m above the ground. What is the speed of the block as it hits the ground?
 
Physics news on Phys.org
shashusad said:
I have this question on my Circular motion assignment, but its somehow connected to free fall. I'm unable to picturize the situation mentioned in question...

A 3.35 kg block is attached to a string that is wrapped around a 1.22 kg, 5.03 cm diameter hollow cylinder that is free to rotate on an axel through the center. The block is released 1.11 m above the ground. What is the speed of the block as it hits the ground?
As the block falls what happens to the cylinder? What's conserved?

(The block is not in free fall--it's connected by the string to the cylinder.)
 
The energy will be conserved. The gravitational potential energy of the block gets converted into tranlational kinetic energy of the block and rotational kinetic energy of the cylinder. I got the answer... Thanks a lot Doc Al !
 

Similar threads

A block placed in a horizontal hollow cylinder
  • · Replies 4 ·
Replies
4
Views
4K
Circular Motion With Constant Angular Acceleration
  • · Replies 3 ·
Replies
3
Views
3K
Rotational Motion - 2 Disc System
  • · Replies 2 ·
Replies
2
Views
2K
10kg Block free falls from 500ft to 2ft into the ground.
  • · Replies 6 ·
Replies
6
Views
2K
Center of mass and momentum- A question about systems
  • · Replies 25 ·
Replies
25
Views
2K
Velocity of a block attached to a pulley and cylinder
  • · Replies 10 ·
Replies
10
Views
6K
Falling Block Pulling Rolling Cylinder
  • · Replies 5 ·
Replies
5
Views
8K
Find mass of cylinder (rotational motion question)
  • · Replies 19 ·
Replies
19
Views
6K
Block attached to string, wrapped around hollow cylinder and free to rotate
  • · Replies 1 ·
Replies
1
Views
7K
How does gravity affect the velocity of a pendulum in circular motion?
  • · Replies 22 ·
Replies
22
Views
3K