Masses placed on platforms, with compressed spring under them.

  • Thread starter Thread starter springwave
  • Start date Start date
  • Tags Tags
    Compressed Spring
AI Thread Summary
Two balls of masses m1 and m2 are placed on platforms with springs of the same force constant and compression. When the first platform is released, m1 reaches its maximum height in 4 seconds. The discussion focuses on determining the time it takes for the second ball, m2, to reach its maximum height. The original attempt to solve the problem neglected the time for the spring to restore its length, leading to incorrect results. Clarification is sought on the behavior of the masses after the springs are allowed to operate, specifically regarding when they lose contact with the platforms.
springwave
Messages
18
Reaction score
0

Homework Statement



Two balls of masses m1& m2 are placed on different platforms, which are subjected to springs of same force constant and same compression. (springs are under platforms, basically like launch pads to fire the balls into the air). When the platform of first ball is released, m1 rises to maximum height in 4 seconds. Find the time in which the other ball will rise to it's maximum height

T1 = 4 s

Homework Equations



Spring PE = 1/2 kx2


The Attempt at a Solution



I tried solving the problem neglecting the time taken for the spring restore it's length,(only considering time of flight, after ball loses contact with platform)
But the answer doesn't seem to match.

I'm unable to calculate time taken for spring to restore it's length.
I hope someone can give me some direction on how to proceed.
 
Physics news on Phys.org
Hey...
Do you mean that the ball/whatever leaves the platfrom immediately upon release?
Please clarify, before we can proceed, how each of the masses behaves after the springs are free to operate.
Thanks,
Daniel
 
The balls are initially at rest on the platforms when they are compressed.
They loose contact only after the spring has restored it's length
 
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...
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...
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...
Back
Top