Find out the acceleration of the block B in the following

1.	Find out the acceleration of the block B in the following
Answer» ⭐Answer: ✔ a = 7.35 m/s² ⭐Explanation: Given that, Mass of Big BLOCK = 3m Mass of small block (B) = m Accrding to the the QUESTION, We are asked to FIND the acceleration of block (B) Hence, From the given figure, We can derive that, $\sf \implies 3ma=3mg-3T$ We know that, $\sf \implies T=ma$ Hence substituting in above EQUATION, We get, $\sf \implies 3ma=3mg-ma$ $\sf \implies 4ma=3m \times 9.8$ Since, g=9.8 m/s² Cancelling SIMILAR terms (m) We get, $\sf \implies a =\dfrac{3 \times 9.8}{4} \ m/s^{2}$ $\sf \implies a=7.5 \ m/s^{2}$

Answer»

⭐Answer:

✔ a = 7.35 m/s²

⭐Explanation:

Given that,

Mass of Big BLOCK = 3m

Mass of small block (B) = m

Accrding to the the QUESTION,

We are asked to FIND the acceleration of block (B)

Hence,

From the given figure,

We can derive that,

$\sf \implies 3ma=3mg-3T$

We know that,

$\sf \implies T=ma$

Hence substituting in above EQUATION,

We get,

$\sf \implies 3ma=3mg-ma$

$\sf \implies 4ma=3m \times 9.8$

Since, g=9.8 m/s²

Cancelling SIMILAR terms (m)

We get,

$\sf \implies a =\dfrac{3 \times 9.8}{4} \ m/s^{2}$

$\sf \implies a=7.5 \ m/s^{2}$

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Find out the acceleration of the block B in the following ​