In the given constraint, what will be the speed of block R(VR), if the string is inextensible and pulleys are frictionless?
A
10m/s
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B
12m/s
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C
14m/s
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D
16m/s
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Solution
The correct option is C14m/s
Since the string is inextensible, length of the string remains constant. l1, l2, l3, l4, and l5 are the intercepts of the same string. ∴l1+l2+l3+l4+l5=constant Differentiating above equation to find rate of change of length which is velocity, VB+VC+VF+VG+VR=0 Here VB=VC=VP=5m/s and VF=VG=VQ=2m/s ⇒+5+5+2+2+VR=0 ⇒VC=−14m/s (−ve sign indicates that VC should be upwards)