**Given Data:**
- Diameter of the pulley (d) = 0.5 m
- Moment of inertia of the pulley (I) = 0.2 kgm^2
- Angular acceleration (α) = 2 rad/s
- Force acting on the body (F) = 50 N
- Slope of inclination (θ) = 30 degrees

**Calculating the Tension Force:**
The first step is to calculate the tension force (T) in the string.
- The weight of the body (W) can be calculated using the formula W = mg, where m is the mass of the body and g is the acceleration due to gravity.
- Since the body is on an inclined plane, the weight can be resolved into two components: W_parallel = mg*sin(θ) and W_perpendicular = mg*cos(θ), where θ is the angle of inclination.

**Calculating the Friction Force:**
- The friction force (f) can be calculated using the formula f = μN, where μ is the friction coefficient and N is the normal force.
- The normal force (N) can be calculated using the formula N = W_perpendicular.

**Calculating the Net Torque:**
- The net torque (τ_net) acting on the pulley can be calculated using the formula τ_net = Iα, where I is the moment of inertia and α is the angular acceleration.

**Calculating the Torque Due to Tension:**
- The torque due to tension (τ_T) can be calculated using the formula τ_T = TR, where T is the tension force and R is the radius of the pulley (d/2).

**Calculating the Torque Due to Friction:**
- The torque due to friction (τ_f) can be calculated using the formula τ_f = fR, where f is the friction force and R is the radius of the pulley (d/2).

**Equating Torques:**
- Since the pulley is in rotational equilibrium, the net torque acting on it should be zero. Therefore, we can equate the torques due to tension and friction: τ_T = τ_f.

**Calculating the Friction Coefficient:**
- Substitute the values of τ_T and τ_f into the equation and solve for μ.

By following these steps, you can determine the friction coefficient affecting the 50N body on the inclined plane.