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NEET Class neet Answered

Wt is tension in given fig

Asked by Lashkkkuer | 28 Sep, 2022, 08:03: PM
Expert Answer
Figure shows the tension forces acting along the rope. Let the sytem of masses is under the acceleration a.
 
If we write Newton's second law to the left side block of mass M, then we get
 
T1 - ( M g ) = ( M a ) ................................(1)
 
where T1 is the tension force acting along the rope between two blocks of equal masses M .
 
If we write Newton's second law to the right side block of mass M, then we get
 
(Mg) + T - T1  = ( M a ) ................................(2)
 
Where T is the tension force between right side block of mass M and other block of mass m.
 
If we write Newton's second law to the right side block of mass m, then we get
 
( mg ) - T = ( m a ) ................................(3)
 
If we add all the above equation, we get
 
mg = ( 2M + m ) a
 
Hence acceleration a =  [ m / (2M + m ) ] g  ........................(4)
 
Tension force T is determined from eqn.(3) as
 
T = m ( g - a )
 
If we substitute acceleration a using eqn.(4) , above expression after simplification will become
 
T = [ ( 2M ) / ( 2M + m ) ] g
Answered by Thiyagarajan K | 28 Sep, 2022, 08:47: PM
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