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NEET Class neet Answered

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Asked by akp70528438 | 28 Nov, 2021, 10:05: AM
Expert Answer
Figure shows the forces acting on blocks of masses m1 and m2 . Weight m1g is acting downward. Equal reaction force R is acting upward
when the block of mass m1 is moving , friction force μR is acting against the motion.Tension force T is acting along the string.
 
If we apply Newton's law to the block of mass m1 , we get
 
T - μ R  = T - ( μ m1 g ) = m1 a  ...............................(1)
 
where a is acceleration of system.
 
f we apply Newton's law to the block of mass m2 , we get
 
m2 g - T = m2 a ...............................(2)
 
By adding eqn.(1) and (2) , we get ,
 
m2 g - ( μ m1 g )  = ( m1 + m2 ) a
 
Hence acceleration a  is given from above expression as

begin mathsize 14px style a space equals space fraction numerator open parentheses m subscript 2 space minus space mu space m subscript 1 close parentheses g over denominator left parenthesis space m subscript 1 plus space m subscript 2 right parenthesis end fraction end style......................................(3)
 
We get Tension force T fromm eqn.(2)  as
 
T = m2 ( g - a )   .............................(4)
 
By substituting acceleration a from eqn.(3) , we get tension force T from eqn.94) as
 
begin mathsize 14px style T space equals space m subscript 2 space end subscript open parentheses g space minus space fraction numerator left parenthesis m subscript 2 subscript space end subscript space minus space mu space m subscript 1 right parenthesis space g over denominator left parenthesis m subscript 1 subscript space end subscript plus m subscript 2 subscript space end subscript right parenthesis end fraction close parentheses space space equals space fraction numerator m subscript 1 subscript space end subscript m subscript 2 over denominator m subscript 1 subscript space end subscript plus m subscript 2 end fraction space open square brackets left parenthesis 1 plus mu right parenthesis space g close square brackets end style
Answered by Thiyagarajan K | 28 Nov, 2021, 12:09: PM
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