Question

Two bodies of masses 12 kg and 8 kg respectively are connected by a mass less string passing over a frictionless pulley. The acceleration of any mass is ( g = 10 m/s^2 )​

Answer 1

Given:

• 12 kg & 8 kg is connected by a wire over a frictionless pulley.

• g = 10 m/s²

To find:

Acceleration of the masses ?

Calculation:

Let the tension in the system be T :

So, for 12 kg mass:

$12g - T = 12a$

Again, for 8 kg mass:

$T - 8g = 8a$

Adding the equations , we get:

$12g - 8g = 12a + 8a$

$\implies 4g =20a$

$\implies 20a = 40$

$\implies a = 2 \: m {s}^{ - 2}$

So, acceleration of both the masses is 2 m/s².