>The question that buck-broke all of /sci/
>>16258580Three forces act on the ball. They compensate each other. Given that we know of two forces that act on the ball, one (A) in direction -x and gravity (G) in direction -y, the supporting string's tension must be equal to (a*sin(beta),a*cos(beta)).Since a*cos(beta) = G, this means that the string to be cut must exert a force equal to a*sin(beta) = A.Cut the string, and the ball at position b now only has two forces, instead of three, acting on it. Gravity (G) and the tension that compensates for it.Since gravity forces the ball towards -y, the supporting string would theoretically have to compensate for it, which would result in (a*sin(beta),a*cos(beta). However, the string can only compensate along the line (sin(beta), cos(beta)), hence the component pendicular to it cannot be compensated for. Therefore, the supporting string's tension is equal to (b*sin(beta),b*cos(beta)), where b^2 = G^2-A^2
>>16258708wtf ur a genius
Difficult
1
>>16258708You forgot air resistance faggot>>16258580cant calculate without knowing air resistance and gravity and mass+density of balls and strings faggot
>>16258845It says ratio of tensions not relative tension so the answer is 1:1 not simply 1 faggot
>>16258905The dimensions of the mass aren't given, you can't estimate air resistance. Besides, the ratio of forces will be the same, only the point B would move.
>>16258580This is a basic draw a picture problem. OP should've posted this on stupid questions if you need homework help. You killed a thread for this. If you need a hint for the second tension, tilt your head. When simplified, your answer should be related to cos(beta).
>>16258955also, notice that when Beta equals pi/2, the ratio should be "infinite" because when initially taut, the horizontal tension force should be "infinite" to keep the ball at that top height. Obviously irl it droops a little, just like irl the rope also has mass.
>>16258955It's not homework. Stop trying to get me banned. I just feel like these problems bring up some interesting discussion
>>16258708>he believes in gravity
>>16258580Why is this a three dot problem? Consider only the force in the vertical direction.A: Tsinb = mgB: Tsinb = mgDivide the two equations. T_a = T_b
>>162589061/1 = 1learn math and mannors
1/cos(beta)
>>16259081It's not interesting, it's just a first year FBD problem.
>>16259499I feel like this exercise would make a perfect introduction into Hamiltonian/Lagrangian mechanics. Knowing that the ball is constrained and can only follow a path f(x,y,z) = 0 would allow you to transform the exercise into one involving two forces.
>>16259499Ok? Not all of us have 120IQ and can breeze through this.
>>16259504it's not that deep lil bro
>>16258580Can uou not solve this by just assuming ball has mass m and drawing a force diagram. The x component of the string at the top would be the tension on the other string.