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Question

If the strings are inextensible and pulleys are frictionless, the speed of point G on block M is
 

  1. 80 m/s
  2. 50 m/s
  3. 70 m/s
  4. 60 m/s


Solution

The correct option is C 70 m/s
 For string ABCD, since the pulley is fixed
VA=VB=VC=VD=10 m/s (In terms of magnitude)
Taking velocity in upward direction to be positive and negative for downward direction.
VD=10 m/s
Now VD=VH+VE2
VH=10 m/s
+10=10+VE2VE=30 m/s
Now VE=VF+VG230=10+VG2
60+10=VG
VG=70 m/s

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