SHM: Block and Piston Separation and Continuous Contact

AI Thread Summary
The discussion focuses on the dynamics of a block and piston system undergoing simple harmonic motion (SHM). It addresses two key questions: the amplitude at which the block and piston will separate given a period of 4.9 seconds, and the maximum frequency for continuous contact with an amplitude of 4.0 cm. The solution involves applying the formula g = (omega)^2(x). The participant successfully solved the problem independently and expressed gratitude for any assistance. This highlights the importance of understanding SHM principles in analyzing the behavior of mechanical systems.
smb62
Messages
4
Reaction score
0
A block rides on a piston that is moving verticallly with simple harmonic motion. A) If the SHM has a period of 4.9 seconds, at what amplitude of motion will the block and piston separate? B) If the piston has an amplitude of 4.0 cm, what is the maximum frequency for which the block and piston will be in contact continuously?
 
Physics news on Phys.org
What have you done in order to solve this problem?
 
got it!

i actually figured it out already using g=(omega)^2(x) thanks for your help though
 
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 '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