Inelastic collision of a projectile with a pendulum

Click For Summary
SUMMARY

The discussion centers on calculating the maximum speed of a 1.0 kg projectile that can collide with and embed itself in a 20 kg wooden ball suspended by a 2.0 m wire without breaking the wire, which has a maximum tension of 400 N. The key concepts involved are centrifugal force and conservation of energy. The participant suggests analyzing the forces acting on the pendulum at a 90-degree angle to simplify the calculations. The maximum tension occurs when the pendulum reaches its lowest point during the swing.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with concepts of tension and centrifugal force
  • Knowledge of conservation of energy principles
  • Basic trigonometry for analyzing angles in pendulum motion
NEXT STEPS
  • Study the principles of inelastic collisions in physics
  • Learn about calculating tension in pendulum systems
  • Research the conservation of mechanical energy in pendulum motion
  • Explore the dynamics of forces acting on objects in circular motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of inelastic collisions and pendulum dynamics.

mjolnir80
Messages
54
Reaction score
0

Homework Statement


a 20 kg wood ball hangs from a 2.0 m long wire. the maximum tension the wire can withstand without breaking is 400 n. a 1.0 kg projectile traveling horizontally hit and embeds itself in a the wood ball. what is the largest speed this projectile can have without causing the cable to break

Homework Equations





The Attempt at a Solution


im kind of stumped with this one
some help would really be appreaciated :)
 
Physics news on Phys.org
hint - centrifugal force for the tension in the wire, conservation of energy for the speed
 
im having problems dealing with the angle of the pendulum as it spins
if we have the y-axis in the direction of centrifugal force the sum of the forces would be:
ma = 400N - mgCos(angle)
could i consider the ball when its at a 90 degree angle to get rid of that thing
and at what point in the rotation would the maximum tension occur at anyways?
 

Similar threads

Replies
10
Views
3K
Replies
1
Views
4K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 9 ·
Replies
9
Views
9K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 10 ·
Replies
10
Views
7K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 15 ·
Replies
15
Views
7K
  • · Replies 6 ·
Replies
6
Views
2K