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![[Post New]](/templates/default/images/icon_minipost_new.gif) 17 Feb 2008 16:20:25 IST
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----------SOLUTIONS-----------
1. l = 80cm
n = 240/60 = 4.
Velocity of the stone at the point when the velocity of stone is vertically upwards is given by v = wL = 2pinl
Using conservation of mechanical energy
1/2mv2 = mgH, also H = v2/2g.
Putting the values, we get H = 20.48m
2. Its a simple question. Don't get into complex calculus on seeing the sinwt function.
The maximum value of the force is 2, (|sinwt|<=1)
It is easy to see that force due to friction is always greater than the applied force.
3. Simple question. I think everyone got this right.
From the given situation, we get
ucos@/2 = usin@-gt
Solve thereon
4.Differentiate the expression wrt to t, and get the result. Again, almost everyone got this right.
5. If all the corners have a charge Q, then its easy to see that they cancel out and the net field at the center is 0. Use this and find the answer.
6. Draw a figure. You should be able to see that the particle comes out of the field after completing a semi circle. Its diameter will be 2mv/Bq
7. Velocity of source at t=4s = 40m/s.
Using doppler shift concept,
f' = (320/360)1000 = 889hz.
Bonus question:
Please refer figure
Torque applied by gravity about the edge in contact T = mg(3l/4)
hence, I@ = 3mgl/4
Also, I = 43ml2/48 (from parallel axis theorem)
Combining the two eqns, we get @ = 36g/45l
From newton's laws, mg-N = ma
Also, a = (3l/4)@
Solving them simultaneously, we get N = 16mg/43
(Good work by feynmann)
Hope all of you enjoyed the test :)
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Will nip in at times to solve problems :)
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17 Feb 2008 20:00:21 IST
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This is to announce that SNIPER has got the tie breaker question right, and hence, he is the official topper of this test. Elastiboysai has also made a very good attempt, but went wrong at places.
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Will nip in at times to solve problems :)
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17 Feb 2008 20:40:27 IST
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its a nice test!!!
cud not attempt it before as i had to study for my pracs...
anyway i got a total of 43...
cud u post detailed soln of tie breaker que????
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FAILURE IS NOT FALLING IN LIFE BUT NOT RISING AGAIN AFTER FALLING!!!!!!
I LIKE WAVES NOT BECAUSE THEY RISE AND FALL..
BUT BECAUSE EVERYTIME THEY FALL THEY RISE AGAIN!!!!!!!
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17 Feb 2008 21:27:18 IST
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yes karthik please post the soln of the tie breaker
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"I a universe of atoms.......an atom in the universe" |
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17 Feb 2008 21:41:57 IST
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heyy check ma mail again.......im gettin all 7 obj. correct
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