Spring Stretch in Circular Motion

  • Thread starter Thread starter robax25
  • Start date Start date
  • Tags Tags
    Spring Stretch
AI Thread Summary
The discussion centers on a physics problem involving a spring and a ball being whirled in a horizontal circle. The spring stretches by 0.010 m when the ball is in motion at a speed of 3.00 m/s. Participants are trying to determine how much the spring would stretch if the ball were hanging motionless from the ceiling. The equation F=kx is relevant for calculating the spring's stretch. Clarification and reasoning are requested to resolve differing opinions on the expected stretch when the ball is stationary.
robax25
Messages
238
Reaction score
3

Homework Statement



A small ball is attached to one end of a spring that has an unstrained length of 0.200 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 3.00 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.010 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?

Homework Equations



F=kx

The Attempt at a Solution


x=0.010m.
 
Physics news on Phys.org
robax25 said:

Homework Statement



A small ball is attached to one end of a spring that has an unstrained length of 0.200 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 3.00 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.010 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?

Homework Equations



F=kx

The Attempt at a Solution


x=0.010m.
That's not what I get. If you show your reasoning, maybe we can figure out why we differ.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Stretching of a rotating spring
Replies
8
Views
2K
Finding the Length and Velocity of a Spring in Circular Motion
Replies
4
Views
2K
B How will a spring stretch in the following cases?
Replies
17
Views
1K
What would be the relaxed length of the spring?
Replies
2
Views
5K
Shm , calculation of amplitude of spring mass system
Replies
3
Views
2K
How much does the spring stretch?
Replies
7
Views
2K
What is the Velocity of a Rotating Weight?
Replies
5
Views
2K
Circular motion of a rotational spring
Replies
12
Views
3K
Solve Spring Stretch on 30° Ramp, 20kg, 500N/m, Friction 0.3/.2
Replies
6
Views
3K
Solving the Spring Paradox: Uncovering the Error
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top