After much deliberation here's what I arrived at.
Consider both machines as biased coins such that Tails means the machine fails and Heads means it runs. Thus for Machine1 and Machine 2,
Pr[T1] = p1 and Pr[H1] = 1-p1
Pr[T2] = p2 and Pr[H2] = 1-p2
So the running of both machines can be...
Question:
Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute
one run, then both execute a second run, and so on). On each run, M1 fails with probability p1 and M2 with
probability p2, all failure events being independent. Let the random...
Question:
Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute
one run, then both execute a second run, and so on). On each run, M1 fails with probability p1 and M2 with
probability p2, all failure events being independent. Let the random...
Here is the homework question. I only have an issue with part c but have shown all my work up until then. Any help is appreciated!
Mr and Mrs Brown decide to continue having children until they either have their ﬁrst boy or until they have
ﬁve children. Assume that each child is equally...
Homework Statement
For the system of Fig. 1, construct a complete state diagram showing all 16
states of the system. Your diagram should have 16 circles, numbered 0000
through 1111, connected with arrows showing which state each state goes to
after one tick of the clock. Interestingly, this...
Ball thrown into a vertical jet???
Homework Statement
Like any good physicist, I always have a ball in my pocket to throw into
the vertical jet of any fountain I happen to find. The result is entertaining (at least I think
so). Explain, with a sketch, what you expect to see (you need not...
Homework Statement
A uniform ladder length L stands upon the ground; the coefficient of friction there is μ .
It leans safely against a smooth (friction-free) wall with the base of the ladder at an angle
! to the horizontal. Jim is the same weight mg as the ladder, and so is Jim's friend...
Okay here is what I have After checking out the equations and realizing what your normal force hint was all about.
PEtotal=mgD
KEat any point = .5mv2 + .5Iw2
Using the known formulas for a sphere's moment of inertia and for angular acceleration...
I = 2/5mr2
w = v/r
I substitute these...
The below information may not be correct...
Perhaps start with drawing a Free Body Diagram at the degree angle. Their is T tension, the force downward mg, and the force balancing tension, mgsin(theta).
Summing the forces to find the centripetal Force one gets:
Centripetal Force = T -...
So at the top of the loop-the-loop,
mgD = mgH + .5Iw2 + .5mvH2.
The marble will not fall with the same force it will fall. So at the top of the loop, the marble would fall if both rotational and kinetic energy were not up to par???
But I can't seem to figure out when the normal force of...
Thank you for the help! I should have realized this was an energy problem.
PE = mgD
KE (at the beginning of the ramp) = .5mv2 + .5Iw2
Now I don't know how fast the ball has to move at the top of the loop to not fall off....
Thank you so far though!
Homework Statement
A popular pastime used to be to construct helter-skelters: tracks along which to
roll (without slipping) a ball (a marble say, or ball bearing). I made one that mimics a
fairground loop-the-loop (see attached .jpg). If the drop from start to base of the loop is D, and the top...