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General Physics

Blazing goIITian

 Joined: 19 Mar 2012 Post: 421
5 Jun 2012 17:10:41 IST
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FIND THE ACCELERATION OF BLOCK OF MASS M . ALL SURFACES ARE FRICTIONLESS AND PULLEYS AND STRINGS ARE LIGHT..................................

Cool goIITian

Joined: 29 May 2012
Posts: 37
5 Jun 2012 17:18:00 IST
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For block of mass m,we get

T - mgsin30=ma

For block of mass 2m,we get

2mg- 2T= 2ma

Where T=tension,a=acc.

Solving these 2 eqns,you get a= g/4 = 2.5m/s²

Blazing goIITian

Joined: 19 Mar 2012
Posts: 421
5 Jun 2012 17:23:00 IST
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Hot goIITian

Joined: 7 Feb 2011
Posts: 140
5 Jun 2012 17:47:06 IST
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Let tension in lower string be 2T..The acc. of mass 2m be a2..And that of m be a1..

So now,

2mg-2T=2ma2 or mg-T=ma2.......(1)

Also T-mgsin30=ma1....(2)

(1)+(2) => g/2=a2+a1

But a2=a1/2

So g/2=3a1/2

or a1=g/3...Hit like if it helped..

Cool goIITian

Joined: 29 May 2012
Posts: 37
5 Jun 2012 17:49:52 IST
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Yeah..first eqn. is

T - mgsin30 = 2ma

Blazing goIITian

Joined: 19 Mar 2012
Posts: 421
5 Jun 2012 17:55:06 IST
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THANKS ROHAN AND AMAN

Blazing goIITian

Joined: 19 Mar 2012
Posts: 421
5 Jun 2012 18:07:22 IST
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@ROHAN THANKS A LOT ........EARLIER I WAS VERY CONFUSED ABOUT HOw TO SOLVE THESE TYPE OF QUESTIONS BUT AFTER SEEING (http://www.goiit.com/posts/list/mechanics-constraint-equations-36922.htm)all my doubts are cleared...........

Hot goIITian

Joined: 7 Feb 2011
Posts: 140
5 Jun 2012 18:14:43 IST
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