Recent content by Kariege
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Undergrad Calculating angular speed of a ball after collision
Hi, I've been wondering is there anyway of calculating the angular speed of a ball after there is a collision of it and another mass. For example a baseball bat hitting the ball. I have not looked up on angular momentum, but is angular momentum involved in this? Based on common sense, I think... -
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Undergrad How Do You Calculate the Probability of Sum T in a Multivariable Sample Space?
Thanks for the reply. CLT is quite a new concept to me but I think this can help me to solve the problem. Sry if this is quite a stupid question but how would you find the mean and the variance in this case? Is it similar to finding the mean and variance of a frequency table because this is a...- Kariege
- Post #6
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad How Do You Calculate the Probability of Sum T in a Multivariable Sample Space?
Thanks. In this context, how would you approach this using the formula? Also why does i+j+k+l+m = 20? I'm confused.- Kariege
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad How Do You Calculate the Probability of Sum T in a Multivariable Sample Space?
Hi, I'm currently having a lot of trouble with this probability problem. For example: Suppose there are 5 balls in a bag with number 1,2,3,4,5. I pick a ball at random 20 times (with replacement). Lets say the probability of each ball being picked is: P(1) = 0.5 P(2) = 0.15 P(3) = 0.1 P(4) = 0.2...- Kariege
- Thread
- Multivariable Probability sample space Space
- Replies: 6
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Proving combination is a natural number by induction
Is it (n-1)C(k-1) must be a natural number and (n-1)Ck must also be a natural number?- Kariege
- Post #9
- Forum: General Math
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Undergrad Proving combination is a natural number by induction
I tried manipulating it but then I ended up nowhere. Could you guide me a little bit?- Kariege
- Post #7
- Forum: General Math
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Undergrad Proving combination is a natural number by induction
you add the two numbers above. so it's nCk=(n-1)C(k-1) + (n-1)Ck. Then it's (n-1)!/[(k-1)!(n-k)!] + (n-1)!/[k!(n-k-1)!] = nCk Am I on the right track?- Kariege
- Post #5
- Forum: General Math
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Undergrad Proving combination is a natural number by induction
I'm not sure how to link this to Pascal's triangle to help me to prove. But I'm thinking about proving divisibility, like n! is divisible by r!(n-r)!, or r!(n-r)! is a multiple of n!.I've been wondering how to set up the statement mathematically. This is not homework. I just want to know how...- Kariege
- Post #3
- Forum: General Math
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K
Undergrad Proving combination is a natural number by induction
Hi, I've seen on on several sites that you can prove that nCr, where r<=n, is a natural number. I'm not sure how to do this by induction. So I need help on this proof. How do I write this as a mathematical statement at the start of the induction proof? Thank you- Kariege
- Thread
- Combination Induction Mathematical induction Natural Natural numbers
- Replies: 9
- Forum: General Math
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Undergrad Effect of golf shaft length and flex
Ok I understand now. Thanks a lot -
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Undergrad Effect of golf shaft length and flex
By "low flex", do you mean high flexibility (flex more)? It can't be low flexibility( flex less )because then that would be a stiff flex. Tks -
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Undergrad Effect of golf shaft length and flex
Thanks. It's starting to make more sense to me now. But if I have the same swing speed for both flex shaft and stiff shaft, the flex shaft would obviously flex more and the stiffer shaft would flex less. So which shaft would allow me to get more launch speed of the ball, considering my swing... -
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Undergrad Effect of golf shaft length and flex
Sry I couldn't quite catch exactly what you said in the final sentence. Did you mean that if the shaft flexes more, more energy is used up? So that means the reason why there is less impact speed is because some of the energy is lost due to the flexing of the shaft? -
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Undergrad Effect of golf shaft length and flex
Hi, I'm wondering about the effect of the shaft flex on the impact velocity between the club and the ball. I understand that as I swing down the golf club, the shaft flexes and the club head lags behind. Near the end of the point of impact, the shaft bends forward. Intuitively, I would think... -
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Undergrad How can I measure rotational speed of a golf ball and projectiles?
nice, the 1200 fps looks just right with a sufficient resolution. First I thought it will be difficult with a 320x340 video. I'll go ask my friends if they have these kinds of camera with high speed capture soon. Thanks a lot!