Problem Statement:
Two blocks A and B each of mass (1)/(2)kg is connected by a massless inextensible string and kept on a horizontal surface. Determine the coefficient of friction between the block and the surface.

Solution:
To determine the coefficient of friction between the block and the surface, we need to analyze the various forces acting on the blocks. The forces acting on the blocks are as follows:

For Block A:
- Weight (W) = mg
- Tension (T) in the string
- Frictional force (f) due to the surface

For Block B:
- Weight (W) = mg
- Tension (T) in the string

Analysis of Forces:
Since the blocks are connected by a string, the tension in the string will be the same for both blocks. Therefore, we can write:

Tension in the string = T

For Block A:
- Net force in the horizontal direction = T - f
- Net force in the vertical direction = mg

For Block B:
- Net force in the horizontal direction = T
- Net force in the vertical direction = mg

Equations of Motion:
We can use the equations of motion to determine the value of the coefficient of friction. The equations of motion for both blocks are as follows:

For Block A:
- (T - f) = ma
- mg = ma

For Block B:
- T = mb
- mg = mb

Solving the Equations:
Solving the above equations, we get:
- a = g/2
- T = mg
- f = (mg)/4

Calculating the Coefficient of Friction:
The frictional force (f) is given by:
- f = µN

where µ is the coefficient of friction and N is the normal force.

The normal force acting on Block A is:
- N = mg

Therefore, the coefficient of friction is:
- µ = f/N = (mg)/4 / mg = 1/4

Answer:
The coefficient of friction between the block and the surface is 1/4.

Wenfkwefkmewfpermfgpermglermgloermglerkglergerjgiergierhgioerhgiherigherihg