Two blocks of masses 2 kg and 4 kg are connected by a light string passing over a light smooth pulley clamped to the edge of a horizontal table. The 2 kg block is on the smooth horizontal table and the other block is hanging vertically. (i) Find the acceleration of the stem if it is released from rest. (ii) Find the tension in the string.

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6.54 {m/s}^{2}; 13 N

6.54 {m/s}^{2}; 26 N

2.6 {m/s}^{2}; 6.54 N

13 {m/s}^{2}; 26 N

answer is C.

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Detailed Solution

$40 - T = 4 a$

$\underline{T = 2a}$

$40 = 6 a$

$a = \frac{40}{6}$

$a = 6.54 {m/s}^{2}$

$40 - T = 4 (6.54)$

$40 - T = 26.16$

$40 - 26.16 = T$

$13.84 = T$

$T = 13.84 N$

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