How Does Hitting a Cue Ball Above the Equator Affect Its Motion?

Click For Summary
SUMMARY

The discussion focuses on the physics of hitting a cue ball above its equator, specifically analyzing the resulting motion and speed of the ball. The cue ball, with a diameter of 6 cm and a mass of 250 g, is struck with an average force of 6000 N over a contact time of 20 microseconds. Key equations used include F=Ma and the kinematic equation x=x0+v0xt+1/2at^2. The impact of off-center strikes introduces torque, which affects the ball's rotational motion and overall speed.

PREREQUISITES
  • Understanding of Newton's Second Law (F=Ma)
  • Familiarity with kinematic equations
  • Basic concepts of torque and rotational motion
  • Knowledge of friction coefficients (uk = 0.35)
NEXT STEPS
  • Research the effects of torque on rotational motion in rigid bodies
  • Learn about the physics of billiard ball dynamics
  • Explore the relationship between force, mass, and acceleration in practical applications
  • Study the impact of friction on motion in sports physics
USEFUL FOR

Physics students, sports scientists, and anyone interested in the mechanics of ball motion in cue sports will benefit from this discussion.

bluejay1
Messages
5
Reaction score
0

Homework Statement


A cue ball is hit 4.5 cm above the horizontal surface uk = 0.35 it is on.
The ball is 6 cm in diameter and has a mass of 250 g. It is hit
by a cue stick with an average force of
6000 N during a contact time of 20 usec.

(a) What is the ball’s speed after it is hit?

Homework Equations



F=Ma
x=x0+v0xt+1/2at^2

The Attempt at a Solution


I can't figure out the effect being hit above the equator has and how to incorporate it?
Thanks
 
Physics news on Phys.org
It sounds like they want you to take into account the torque on the cue ball due to the fact that it was hit off center. I guess you assume that the cue does not slip and that it hits parallel to the horizontal surface, but it doesn't actually say that, so I'm just guessing.
 

Similar threads

Replies
1
Views
2K
Replies
3
Views
3K
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
11
Views
2K
Replies
13
Views
14K
Replies
5
Views
1K
  • · Replies 24 ·
Replies
24
Views
4K
Replies
11
Views
2K