Friday, July 11, 2008

Make your own balance toy

I have came across an interesting wooden balance toy, usually found in the markets of Vietnam and Thailand. Unfortunately, I lost mine and this is the only similiar picture I can find online:

However, you could make your own balance toy by simply using a piece of cardboard!



Step 1 - Download the picture (click on it and download the full size).






Step 2 - Print the shape on a piece of carboard and cut out the shape.

Step 3 - Bend at the lines to create this:


There you have it! Now watch as it does a seemingly impossible act by balancing on the tip of a pen.




Questions to ponder:






  1. Is the toy considered stable?


  2. Where do you think is the CG of the toy?


  3. Do you think the toy is able to balance if you do not let the 'wings' droop down?


Ans: (highlight the space below with your cursor)





  1. Yes, because the toy returns to its original position after being tilted.


  2. The C.G. is below the tip (pivot), along the line of gravity pull.


  3. No. This is because moving the wings upwards will cause the C.G. to move upwards, resulting in an unstable equilibrium. I.e. the moments created by the weight of the toy when the C.G. is above the pivot will tend to topple it. When the C.G. is below the pivot, the moments created by the weight will tend to move the toy back to the original position.

Wednesday, July 2, 2008

My posting

I realise I haven't update that I've been posted to Kranji Secondary school. You can find out more from their website: http://www.kranjisec.moe.edu.sg/ A beginning teacher is a very busy person...



Sorry Shuqunites, I did request to go back but I guess Shuqun do not lack Physics teacher. Still, all the best for your 'O's! If you need help just let me know.

Wednesday, June 4, 2008

English Pronunciation

Though I do not teach English and neither is my command of the language strong, just wanna post this here to share. Try it!

Source: http://bertc.com/english.htm


English Pronunciation!?!
If you can pronounce correctly every word in this poem, you will be speaking English better than 90% of the native English speakers in the world. After trying the verses, a Frenchman said he'd prefer six months of hard labour to reading six lines aloud. Try them yourself.


Dearest creature in creation,

Study English pronunciation.
I will teach you in my verse
Sounds like corpse, corps, horse, and worse.
I will keep you, Suzy, busy,
Make your head with heat grow dizzy.
Tear in eye, your dress will tear.
So shall I! Oh hear my prayer.
Just compare heart, beard, and heard,
Dies and diet, lord and word,
Sword and sward, retain and Britain.
(Mind the latter, how it's written.)
Now I surely will not plague you
With such words as plaque and ague.
But be careful how you speak:
Say break and steak, but bleak and streak;
Cloven, oven, how and low,
Script, receipt, show, poem, and toe.
Hear me say, devoid of trickery,
Daughter, laughter, and Terpsichore,
Typhoid, measles, topsails, aisles,
Exiles, similes, and reviles;
Scholar, vicar, and cigar,
Solar, mica, war and far;
One, anemone, Balmoral,
Kitchen, lichen, laundry, laurel;
Gertrude, German, wind and mind,
Scene, Melpomene, mankind.
Billet does not rhyme with ballet,
Bouquet, wallet, mallet, chalet.
Blood and flood are not like food,
Nor is mould like should and would.
Viscous, viscount, load and broad,
Toward, to forward, to reward.
And your pronunciation's OK
When you correctly say croquet,
Rounded, wounded, grieve and sieve,
Friend and fiend, alive and live.
Ivy, privy, famous; clamour
And enamour rhyme with hammer.
River, rival, tomb, bomb, comb,
Doll and roll and some and home.
Stranger does not rhyme with anger,
Neither does devour with clangour.
Souls but foul, haunt but aunt,
Font, front, wont, want, grand, and grant,
Shoes, goes, does. Now first say finger,
And then singer, ginger, linger,
Real, zeal, mauve, gauze, gouge and gauge,
Marriage, foliage, mirage, and age.
Query does not rhyme with very,
Nor does fury sound like bury.
Dost, lost, post and doth, cloth, loth.
Job, nob, bosom, transom, oath.
Though the differences seem little,
We say actual but victual.
Refer does not rhyme with deafer.
Foeffer does, and zephyr, heifer.
Mint, pint, senate and sedate;
Dull, bull, and George ate late.
Scenic, Arabic, Pacific,
Science, conscience, scientific.
Liberty, library, heave and heaven,
Rachel, ache, moustache, eleven.
We say hallowed, but allowed,
People, leopard, towed, but vowed.
Mark the differences, moreover,
Between mover, cover, clover;
Leeches, breeches, wise, precise,
Chalice, but police and lice;
Camel, constable, unstable,
Principle, disciple, label.
Petal, panel, and canal,
Wait, surprise, plait, promise, pal.
Worm and storm, chaise, chaos, chair,
Senator, spectator, mayor.
Tour, but our and succour, four.
Gas, alas, and Arkansas.
Sea, idea, Korea, area,
Psalm, Maria, but malaria.
Youth, south, southern, cleanse and clean.
Doctrine, turpentine, marine.
Compare alien with Italian,
Dandelion and battalion.
Sally with ally, yea, ye,
Eye, I, ay, aye, whey, and key.
Say aver, but ever, fever,
Neither, leisure, skein, deceiver.
Heron, granary, canary.
Crevice and device and aerie.
Face, but preface, not efface.
Phlegm, phlegmatic, ass, glass, bass.
Large, but target, gin, give, verging,
Ought, out, joust and scour, scourging.
Ear, but earn and wear and tear
Do not rhyme with here but ere.
Seven is right, but so is even,
Hyphen, roughen, nephew Stephen,
Monkey, donkey, Turk and jerk,
Ask, grasp, wasp, and cork and work.
Pronunciation (think of Psyche!)
Is a paling stout and spikey?
Won't it make you lose your wits,
Writing groats and saying grits?
It's a dark abyss or tunnel:
Strewn with stones, stowed, solace, gunwale,
Islington and Isle of Wight,
Housewife, verdict and indict.
Finally, which rhymes with enough,
Though, through, plough, or dough, or cough?
Hiccough has the sound of cup.
My advice is to give up!!!

Thursday, April 10, 2008

Error in TYS notes



Thanks to Leslie for this. Can you spot the error?

Thursday, March 6, 2008

Probability in DotA?!?!

Yes, you may have known that Mr Guay is currently a little into the game of DotA. And here are some interesting items in DotA that poses some mathematical questions!

There is an item in the game called Vanguard. Here are the details, taken from DotaPortal:

Vanguard



Description:+5 HP regen/second
+250 Hit Points
65% to block 40 damage

What's interesting is that the amount of damage it blocks is actually a probability! Now...what if you have 2 Vanguards? What is the effect? Some choices:

a) 65% chance to block 80 damage
b) No additional effect i.e. same as having one Vanguard. Which means you just wasted valuable gold!
c) 65%+65%=125% (or rather 100%, since probability can not exceed 100%) to block 40 damage. This means that you get a permanent block of 40 damage.
d) The 2 Vanguards are mutally independent, and hence we need to recalculate the probability.
e) I don't care cos games and maths don't mix! Stop spoiling it!

use your mouse and highlight the space below for answer....

Although Mr Guay can't be 100% sure as he is not the games programmer, it will most likely be (d). So to calculate the probabilty, we can do the direct method, i.e.

P(both Vanguard activating) + P(1 Vanguard activating and the other not)
= (0.65 x 0.65)+[(0.65x0.35)+(0.35x0.65)]
= 0.8775
= 87.75%

Or indirectly,
1 - P(both Vanguards not activating)
= 1 - (0.35x0.35)
= 0.8775
= 87.75%

So, when we buy 2 Vanguards, we increase the probability from 65% to 87.75% of blocking 40 damage. Pls note that Mr Guay is not sure how much damage 2 Vanguards will block when both activate but my guess is only a block of 40 damage instead of 80 damage.

That's all well and good but in the game, the amt of gold is quite limited. There is another item which is one of the material used to make a Vanguard and has similiar properties. Let's compare them and their price:

Vanguard ($2275)



65% to block 40 damage

Stout Shield ($300)



30% to block 30 damage



So which is more worthwhile? How many Stout Shields do we need to buy to obtain the same probability of damage reduction of 1 Vanguard? I know the amt of damage reduction is lesser but disregard that for now. Also disregard the additional porperties Vanguard gives you such as HP regeneration, as we're only concern about blocking damages.

use your mouse and highlight the space below for answer....

Probability of shield NOT activating = 1 - 0.3 = 0.7 (or 70%)

P(2 stout shields)
= 1 - P(both shields do not activate)
= 1 - (0.7 x 0.7)
= 0.51
= 51%

P(3 stout shields)
= 1 - P(3 shields all do not activate)
= 1 - P(0.7 x 0.7 x 0.7)
= 0.657
=65.7%

Hence, with 3 Stout Shields we can have the same blocking probability as a Vanguard, but 3 Shields only cost $900! Something to think about....


There are some other items in DotA that deals with probability, such as Butterfly, Basher, Buriza etc. Have fun!

Monday, February 25, 2008

Status update

Currently doing practicum in Kranji Secondary.

And there's a high chance I'll be posted back to Shuqun!

Monday, January 28, 2008

ITE = It's The End?


Old news but just wanna share it nonetheless.

Are the impressions of ITE really that bad? I personally don't think so.

Sunday, January 27, 2008

Did you know?

Quite an interesting video clip I chanced upon.



So is it still relevant to teach the subjects in schools today? Or should we teach them about Internet, computers and connectivity in this fast changing world rather than Maths, Science and History? Since after all, they can locate these information easily if they have mastery of the Net and IT.

Tuesday, December 18, 2007

Release of N-level results

Today is the day my former class 4/3 recieve their N-levels results. I was there to see the happy (and some not so happy) faces. I'm quite pleased (and pleasantly surprised) by the large number of students that are eligible for Sec 5, though I'm mildly disappointed nobody got has all As....

To be frank, I'm quite new to the whole N-level structure and this year they have introduced another path for N-level graduates. Briefly, a N(A) student can either
  1. Promote to Sec 5 and take O-levels next year (aggregate 10 pts and below for best 3 subjects)
  2. Enter a Higher NITEC course (this is new) if they obtain an aggregate of 19 pts and below for EL, Maths and other 3 subjects).
  3. Enter a NITEC course in ITE.
  4. Repeat Sec 4N.

Obviously, choice 1 and 2 are reserved for students whom had done relatively well in their N-levels. The new path of direct entry to Higher NITEC comes about because quite a large proportion of Sec 5 students did not perform as well and was unable to qualify for JCs or polys. These Sec 5 students will then have to choose to go to NITEC or Higher NITEC courses, which they were given a chance a year ago. I.e. they have "waste" one year as compared to students that chose to go to Higher NITEC after Sec 4N.

And herein lies a problem. And frankly, is quite a big problem in my former school. Most of the Sce 5N students have an aggregate of 8-10 pts. Sure, they make the cut-off point for Sec 5 but can they make it in O-levels? If they fail to score 15 pts or less in their L1R4 for O-levels, their chance of entering a polytechnic is highly unlikely, which would mean they would see their classmates in ITE but a year behind.

There's also the stigma in entering ITE ('ITE for those cannot make it one lah!') and, perhaps even worse, the mindset that exam results are somewhat unpredictable like a lottery: try and perhaps I can make it. I do hope they do not apply for Sec 5 simply because they feel they can buck up and catch up with O-levels standards in a year's time. It's not a matter of feeling but you must have confidence and determination to walk this very challenging last part of the journey.

Also, I feel that choosing to enter ITE to NITEC/Higher NITEC courses may not be such a bad idea at all. I try and draw analogy using DotA, a game I started picking up recently....

Imagine you're a STRENGTH character, like Sven, the Rogue Knight . Since you're a STRENGTH character, you need items that will boost your strength attributes so you can grow more powerful. In other words, you need the right stuff to develop properly.

Unfortunately, the current syllabus/curriculum in secondary schools are more suitable to develop INTEL characters, like Lina Inverse, the Slayer . Perhaps the N and O levels are testing the INTEL abilities and the school gives you items that will boost your intelligence attributes. So if you're an INTEL character, you will do well and excel in the tests and exams. If you're a STRENGTH character, then you may feel very miserable in some of the subjects or the learning style. Worst still, you get poor results in exams, because you were not developing your correct attributes!

Er...so coming back to reality, getting not so good results in your N-levels may mean that you could be a Rogue Knight in a school for sorceress and wizards. If you choose to remain in this school for 1 more year in Sec 5, you may not benefit at all. However, if you choose to go ITE, you will be able to choose courses that fit your needs, interests and attributes. The courses in ITE is such that all modules/subjects you take are relevant for you to obtain your certificate. E.g. you will not need to take history in an Engineering course, or take Maths in a hairdressing course. Hence you become a Rogue Knight in a martial art school, where you could shine and develop your full potential. Hope I'm making sense...

Well, irregardless of your choice, I wish the best for my students and has only this last advice: Be the best that you can be, not what you think you should be.

Tuesday, November 27, 2007


Tks for inviting me to the chalet! Had a great time!


Friday, October 12, 2007

Please try to get onto the news for good reasons...

A word you guys might find useful:

Discretion:
- The quality of being discreet; circumspection.
- Ability or power to decide responsibly.
- Freedom to act or judge on one's own:


Obviously he doesn't know the meaning of this word.
http://singaporeseen.stomp.com.sg/viewPost5858.aspx

On the other hand, I realise a lot of these 'juicy' news came from kaypoh, nosey concerned public who deem it fitting to post it on Stomp and cause a stir. Should we be thankful to them, to Stomp, or should there be some control in this?

Wednesday, October 10, 2007

Fun with electrical fuse

An extension of the previous video of the electrical fuse. This time, we added light bulbs to the circuit and also posed some questions in the video.



Friday, September 28, 2007

Video of a fuse in action

A short video, made by myself and a colleague (Alfred) in NIE for our Physics course. The video shows an ammeter indicating the current passing through the fuse and how the fuse reacts to the current.



We chose this video because very few people has actually SEEN a fuse being blown. We studied it in school and yet most of my students have never seen a real fuse in their entire life. Hopefully, this can help them in understand how a fuse works, and what is its purpose in an electrical circuit.

To cut the long story short, when the current passing through the fuse exceeds a certain value, the heat dissipated by the fuse wire (given by Power = I^2R) is sufficient to melt the fuse wire itself. This cause the fuse wire to break and hence opening the circuit, protecting it from the excessive current.

Can you guess the rating of the fuse? To see answer, use your cursor and highlight the space below this:

Perhaps your guess is 1.5 A, as the video suggests. However, it was a fuse with a 0.6A rating. Apparently, things are not as simple as what's stated in Physics textbook. In engineering, there's a buffer of about 2-2.5 times of the rated current. This is to allow for surges or spikes in the current which is considered 'normal' and prevent excessive and annoying fuse breaking. Not to mention there's a time factor involved in breaking the circuit. Remember, you are actually melting the fuse wire. Does ice turn to water suddenly, or gradually (depending on temperature difference)?

Still, when designing a circuit that has a working current of, say 0.8A, it is still ok to use a 1A fuse. In other words, stick to the simple explanation given by your O level textbook and that is to use the fuse with a current rating that is nearest and greater than the current in the circuit you wish to protect.