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The angle of inclination of the plane at which the body begin to move down the plane is called

  • a)
    angle of repose 

  • b)
    angle of friction

  • c)
    angle of projection

  • d)
    none of these

Correct answer is option 'A'. Can you explain this answer?
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The angle of inclination of the plane at which the body begin to move ...
The angle of inclination of the plane at which the body begins to move down the plane, is called angle of repose.
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The angle of inclination of the plane at which the body begin to move ...
The angle of inclination of the plane at which the body begins to move down the plane is called the angle of repose.

The angle of repose is an important concept in physics and engineering, particularly in the study of friction and motion. It refers to the steepest angle at which an object can rest on an incline without sliding down.

Factors affecting the angle of repose:

Several factors influence the angle of repose, including:

1. Friction: Friction is the force that resists the motion of an object. When an object is placed on an inclined plane, the force of gravity acts downwards, while the normal force (perpendicular to the plane) and the frictional force act upwards. The angle of repose is determined by the equilibrium between these forces.

2. Surface characteristics: The angle of repose can vary depending on the surface characteristics of the object and the plane. Rough surfaces tend to have a higher angle of repose, as they provide more friction and a stronger grip for the object.

3. Object shape and weight: The shape and weight distribution of the object also play a role in determining the angle of repose. Objects with a lower center of gravity and a more stable shape are less likely to slide down the incline.

Significance of the angle of repose:

Understanding the angle of repose is crucial in various engineering applications. It helps determine the stability of slopes, the design of conveyor belts, the transportation of granular materials, and the prevention of landslides. For example, in civil engineering, the angle of repose is used to determine the maximum slope angle that can be safely achieved in construction projects.

Difference between the angle of repose and the angle of friction:

While the angle of repose refers to the incline angle at which an object begins to move down due to gravity, the angle of friction (also known as the angle of frictional resistance) is the angle at which an object starts sliding due to the force of friction. The angle of friction is generally smaller than the angle of repose, as it only considers the frictional force, whereas the angle of repose takes into account the equilibrium of all forces acting on the object.

Therefore, in the given options, the correct answer is option 'A' - angle of repose.
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The angle of inclination of the plane at which the body begin to move down the plane is calleda)angle of reposeb)angle of frictionc)angle of projectiond)none of theseCorrect answer is option 'A'. Can you explain this answer?
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