Question

for the arrangement shown in the figure, pulley and strings are ideal. find out the acceleration of 2 kg mass​

Answer 1

Answer:

$a =\frac{g}{3}$

Explanation:

Given :

For the arrangement in figure, pulleys , strings are ideal. Find acceleration of the mass 2 kg block.

Solution :

As the two triangular blocks are of same size, there is no change in balnce in force,.

Taking the tension of the string = T,

The 2kg block will move down with the acceleration a,

Force produced to move away from the pulley = ma = 2a

⇒ The 1 kg block will move up with the same acceleration a,.

Force produced to move towards the pulley = ma = 1 a = a

Hence, The force - balance equation are as follows,.

⇒ 2g - T = 2a  ..(i)

⇒ T - g = a   ..(ii)

By adding both (i) & (ii),

We get,

⇒ (2g - T) + ( T - g) = a + 2a

⇒ 2g - g = 3a

⇒ g = 3a

⇒ $a =\frac{g}{3}$