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Question: All surface are frictionless and pulley & strings are light. Acceleration of block of mass 'm' is – ...

All surface are frictionless and pulley & strings are light. Acceleration of block of mass 'm' is –

A

25 g\frac { 2 } { 5 } \mathrm {~g}

B

4 g5\frac { 4 \mathrm {~g} } { 5 }

C

4 g7\frac { 4 \mathrm {~g} } { 7 }

D

2g7\frac { 2 g } { 7 }

Answer

4 g5\frac { 4 \mathrm {~g} } { 5 }

Explanation

Solution

Let a, acceleration of block of mass m

m :

T = ma … (i)

4m :

4mg – 2T = 4m . 3a4\frac { 3 a } { 4 } … (ii)

\ a = 4 g5\frac { 4 \mathrm {~g} } { 5 }