A body is supported on a rought plane inclined at `30^(@)` to the horizontal by a string attached to the body and held at an angle of `30^(@)` to the plane . Draw a diagram showing the forces acting on the body and resolve each of these forces
(a) horizontally and vertically,
(b) parallel and perpendicular to the plane.

Explanation

To solve the problem, we need to analyze the forces acting on a body placed on a rough inclined plane at an angle of \(30^\circ\) to the horizontal. The body is supported by a string that is also at an angle of \(30^\circ\) to the inclined plane. We will draw a free body diagram and resolve the forces accordingly.

### Step 1: Draw the Diagram
1. **Inclined Plane**: Draw a horizontal line and then draw an inclined line at an angle of \(30^\circ\) to the horizontal.
2. **Body**: Represent the body as a dot on the inclined plane.
3. **Forces Acting on the Body**:
- **Weight (W)**: Draw a downward arrow from the body representing the weight of the body, \(W = mg\).
- **Tension (T)**: Draw an arrow at an angle of \(30^\circ\) to the inclined plane, pointing upwards along the direction of the string.
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