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Question: The system shown in figure is released from rest. After blocks have moved distance h/3, collar 'B' i...

The system shown in figure is released from rest. After blocks have moved distance h/3, collar 'B' is removed and block A & C continue to move. Speed of C before it hits ground is –

A

43gH\frac { 4 } { 3 } \sqrt { \mathrm { gH } }

B

2gH32 \sqrt { \frac { \mathrm { gH } } { 3 } }

C

13gH3\frac { \sqrt { 13 \mathrm { gH } } } { 3 }

D

22gH2 \sqrt { 2 \mathrm { gH } }

Answer

13gH3\frac { \sqrt { 13 \mathrm { gH } } } { 3 }

Explanation

Solution

V2 = VC2V _ { \mathrm { C } } ^ { 2 } + 2. g2\frac { \mathrm { g } } { 2 } . H

= 4gH3\frac { 4 \mathrm { gH } } { 3 } + 2gH

\ V = 13gH3\frac { \sqrt { 13 \mathrm { gH } } } { 3 }