Question

A 2 Kg box is put on the surface of an inclined plane at 27 ° with the horizontal. The surface of the inclined plane is assumed to be frictionless. Draw a free body diagram of the box on the inclined plane and label all forces acting on the box.

Answer 1

When an object is on an inclined plane, the force components acting on it are influenced by both gravity and the inclined surface. A 2 kg box on a frictionless inclined plane at 27 degrees with the horizontal has forces such as weight, normal force, and parallel and perpendicular components of weight. A free body diagram can be used to visualize and label these forces.

When an object is on an inclined plane, the force components acting on it are influenced by both gravity and the inclined surface. In this case, the box is on a frictionless inclined plane at 27 degrees with the horizontal.

Here's a description of the forces and a free body diagram for the box:

1. Weight (W): This force acts vertically downward and is equal to the mass of the box (2 kg) multiplied by the acceleration due to gravity (approximately 9.8 m/s²). It can be decomposed into two components:
2. Normal Force (N): This force acts perpendicular to the inclined surface and counteracts the component Wperp.
3. Parallel Component of Weight (Wparallel): This component acts parallel to the inclined plane and is calculated as Wparallel = W ⋅ sin(θ), where θ is the angle of the inclined plane.
4. Perpendicular Component of Weight (Wperp): This component acts perpendicular to the inclined plane and is calculated as Wperp = W ⋅ cos(θ).

Make sure to label the forces appropriately to represent their directions and magnitudes. The angles in the diagram should reflect the incline angle of 27 degrees.

Answer 2

The forces acting on a 2 kg box on an inclined plane at 27° with the horizontal are the weight of the object, the normal force, and the force of friction.

Step-by-step explanation:

When an object is on an inclined plane, there are certain forces acting on it. In this case, the 2 kg box on the inclined plane at 27° with the horizontal will have the following forces:

• The weight of the object (mg) acting vertically downwards.
• The normal force (N) acting perpendicular to the plane.
• The force of friction acting parallel to the plane (f).