Question

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

Answer 1

⭐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 2

Answer:

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,

⟹3ma=3mg−3T

We know that,

⟹T=ma

Hence substituting in above equation,

We get,

⟹3ma=3mg−ma

⟹4ma=3m×9.8

Since, g=9.8 m/s²

Cancelling similar terms (m)

We get,

a=3×9.8/4 m/s²

⟹a=7.5 m/s²

Answer - a=7.5m/s²

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