Recent content by Monsterboy

If you directly ask ChatGPT if it can play chess, is says no, so you type something like this... "Lets play blindfold chess, I play white and you play black, I make the first move. Pawn to e4, you next". Then it responds with e5, then I thought I need to open another tab with an engine to see...

In the graph class definition, this method was returning wrong edges. getEdgesFromNode(node) { let edges = [] if(this.adjacencyList[node]) { for (let i = 0; i < this.adjacencyList[node].length; i++) { if(this.adjacencyList[node][i].direction.from === node) { // this...

Is the idea of multiplying the edge weights by -1 to find the longest path right ? Does it actually work ?

This is the weighted, directed acyclic graph I created in JavaScript class WeightedDirectedGraph { constructor() { this.adjacencyList = {}; } addNode(node) { if(!this.adjacencyList[node]) { this.adjacencyList[node] = []; } } addEdge(node1, node2, direction, weight) {...

So half of ##\Delta y## of the string moves towards the pulley B from under it and the other half moves away, over it, summing up to ##\Delta y## length of string moving towards right, so the distance moved by the pulley is ##\frac {\Delta y}{2}## is this how you see it ?

Some people told me that but I am not able to visualize the distance moved by the pulley B to be exactly equal to ##\frac {\Delta y}{2}##

Ignoring the pulley radius. ##{x_0}## and ##{x_1}## are distances from mass 2M to pulley B, they are constants. ##{y_0}## and ##{y_1}## are the distances of mass M from pulley A. ##{l_0}## and ##{l_1}## are the distances between the pulleys A and B with respect to positions ##{x_0}## and...

I solved this problem by assuming that the acceleration ##a## is the same on the both the masses M and 2M but then answers were wrong, but if the acceleration of the mass 2M is considered as ##a/2## then I get the right answers, but I don't how exactly acceleration is getting halved for mass 2M...

I imagine this will be Afghanistan 2.0. I only hope the Ukranians don't end up with their own version of the Taliban after this is over.

I think so too, Putin didn't just wake up one day and decide to invade Ukraine. His discontent over Ukraine's eagerness to join the EU and/or NATO, continued expansion of NATO eastwards... Ukraine was the last straw. He has been planning this for several years perhaps. I think people...

I got the answer for the tension.

The free body diagram of one pulley should look like above, the other one will be a mirror image. The tension ## T_2 ## is created by the man's friends pulling the rope. ## T_1 ## has a vertical and a horizontal component. The vertical component (downwards) is balanced by the normal reaction of...

The pulley is fixed in its position. Lnewqban's image is accurate.

The diagram represents one half of the system. ##W## is the weight of the man. ##T_1 cos \theta = T_2## --> The horizontal component of ##T_1 = T_2## right ? ##T_1 cos \theta = T_1 \frac {d}{\sqrt {4h^2 + d^2}} = T_2## ##T_1 sin \theta = \frac {W}{2}##...

Aren't the frames of the stationary elevator and the ground basically the same ? Ok, this is what I wanted to know.