Question

Two blocks of masses m1 and m2 are placed in contact with each other on a horizontal platform

Answer 1

Given that,

Two block of masses m and m are placed in contact with each other on a horizontal platform.

Suppose, The coefficient of friction between the platform and the two blocks is the same. The platform moves with an acceleration . The force of interaction between the block is

Let the acceleration of platform is a and acceleration of combination of mass of blocks is a'.

Total force on block of mass m₁ is

$N+m_{1}a-\mu m_{1}g=m_{1}a'$

Total force on block of mass m₂ is

$N+m_{2}a-\mu m_{2}g=m_{2}a'$

We need to calculate the value of a

Using equation (I) and (II)

$a'=a-\mu g$

We need to calculate the force of interaction between the block

Put the value of a' in equation (I)

$N+m_{1}a-\mu m_{1}g=m_{1}a-m_{1}\mu g$

$N=0$

Hence, The force of interaction between the block is zero.