Okay, thanks guys for your help and mostly patience. I have solved the questions. The solution for velocity was, as Doc Al mentioned way before, to express velocity as a function of x and then differentiate this equation to find the value by setting it to zero. This is what I missed mostly. Then...
The point in question is when there is an equalibrium, net force, between mass * gravity and the force build up in the spring. At this point the velocity would be a non zero value.
I don't have a real reason for that equation other than it (by trying around) gave the value 27.2 which is the only way it got, at some extend - except for Hooke's equation. I'm aware the equation is wrongfully set up, but haven't been able to formulate the right equation with work and energy...
Mass * gravity is exerted on the cylinder downward, so (I'm a bit guessing here) this is then greater in the initial phase of the springs compression. So the net acceleration on the cylinder is still downwards at initial phase. Thereby the cylinder won't go fully stop, but gradually decrease its...
Hmm, I don't get the physics there then. How would the velocity still be increasing when it hits the spring?
If I remove the minus infront, I get a value of 0.0545... Which in fact is the double value of what I'm seaking for. But then I'm not sure how to go further with that.
If I keep the...
Hey Doc Al
I get the imaginary value by saying
m*g*Δx = -m*g*h - 1/2*k*x^2
5*9.81*(0.1-x) = -5*9.81*0.1 - 1/2*1800*x^2
Computes to: ±0.02725+0.10078411333141746701i
I have tried to fiddle around with the signs infront each, if that was the case but with no luck... :(
Have drawn a picture of the situation here, if I have not been clear in my explanations.
http://postimg.org/image/9uq1te8m7/
I have found the maximum compression to be 0.1059m - matches the answer sheet... yaey
I have found the maximum velocity to be 1.40 m/s - matches not quite the...
When net force is at 0 there's no acceleration, hence a = Fnet / m.
Forces acting on the cylinder would be gravity downwards and the spring impact/normal force upwards. Air resistance not included.
But, am I missing a point (probably) in how to calculate the values correctly?
I know of...
Hi
Thanks for reply... Well to my understanding of physics, the cylinder will stop accelerating when it hits the spring and slow down, so I'm going for this now
0 = 1/2*m*v^2 - m*g*gap size
0 = 1/2*5*v^2 - 5*9.81*0.1
Computed velocity to be: 1.4 m/s (It's nearer the given value but still...
Hey guys
If I have a cylinder of mass 5 kg and release it along the vertical axis onto a spring with stiffness coefficient (k = 1.8 kN), how would I need to set up the work/energy equation(s) to find the maximum compression and deflection of the spring. And what would the maximum velocity...