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Q72. In the arrangement as show below m1 = 1 kg ,m2 = 2kg. Pulleys are massless and strings are fight. For what value of M the mass m1 moves with constant velocity ? (Neglect Friction)

   (1) 4 kg                                              (2) 8 kg 

   (3) 6 kg                                              (4) 10 kg
 
           

Please find this answer

  • 16

Now, according to question, m1​ moves with constant velocity
⇒a1−a=0⇒a1=a​       ....(i)

From figure above ,
T−m1​g=0⇒T=m1​g=1×9.8
⇒T=9.8N​       .....(ii)
2T=Ma
⇒Ma=19.6​ (from (ii))     ...... (iii)
m2​g−T=a+a1=29  (from (i))
⇒2a=2×9.8−9.8
⇒a=29.8​=4.9m/s2​
putting in (iii)
M=4.919.6​
⇒M=4kg​
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