A body B is capable of remaining stationary inside a liquid at the pos...
The body will remain stationary (relative to liquid)
Due to acceleration down the plane, both body B and liquid will received the same component of acceleration down the plane
A body B is capable of remaining stationary inside a liquid at the pos...
Introduction:
In this problem, we have a body B that is capable of remaining stationary inside a liquid at a specific position. We are given two figures, Figure (a) shows the initial position of the body B inside the liquid, and Figure (b) shows the body placed on a smooth inclined plane and allowed to slide down. We need to analyze the behavior of the system when it slides down the inclined plane.
Analysis:
1. Initial Position:
- Figure (a) shows the body B inside the liquid and at rest.
- The body B is in equilibrium due to the buoyant force acting on it, which is equal to the weight of the body.
- The buoyant force is the force exerted by a fluid on an immersed body, in the upward direction. It depends on the volume of the body and the density of the fluid.
2. Placing on the Inclined Plane:
- In Figure (b), the body B is placed on a smooth inclined plane.
- When the system is released, the body B will start sliding down the inclined plane due to the force of gravity acting on it.
- The force of gravity, acting in the downward direction, will be greater than the buoyant force.
- As a result, the body B will move downward and away from its initial position in the liquid.
3. Motion Down the Inclined Plane:
- As the body B slides down the inclined plane, it experiences a component of the force of gravity acting parallel to the inclined plane, known as the component of weight along the incline.
- This component of weight will cause the body B to accelerate down the incline.
- The acceleration of the body B depends on the angle of the incline and the gravitational force acting on it.
- The body B will continue to slide down the inclined plane until it reaches a new equilibrium position.
Conclusion:
When the system is placed on a smooth inclined plane and allowed to slide down, the body B will move downward and away from its initial position in the liquid. It will experience a component of the force of gravity acting parallel to the inclined plane, causing it to accelerate down the incline. The body B will continue to slide until it reaches a new equilibrium position on the inclined plane.
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