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Mechanics

Paloma Sodhi's Avatar
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Joined: 8 Jun 2007
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22 Sep 2007 20:22:01 IST
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Laws of Motion(Challenging Problem)
None

Find accelration of the wedge ; given all surfaces are frictionless ..
 
PS .. angle 1 is  and angle 2 is


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thevyzz's Avatar

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22 Sep 2007 20:41:13 IST
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| g( m1cosAsinA - m2sinBcosB)/M |
Priyesh's Avatar

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22 Sep 2007 21:02:20 IST
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The ans is  (1 / 2M) * g * (m2sin(2) - m1sin(2) )
see analyse the forces on the wedge
 it's clear that the acceleration will be horizontal
the two blocks exert forces of normal reaction on the wedge = m1gcos & m2gcos
 now taking horizontal componets of both
 m1gcossin & m2gcossin
since they are in opposite direction we subtract one from the other
note: u don't have to bother about which one is greater so no need to put any mod sign)
 
therefore net horizontal force = Ma
 
=> m2gcossin - m1gcossin = Ma
=> a = (1 / 2M) * g * (m2sin(2) - m1sin(2) )



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