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A uniform straight rod is placed in vertical position on a smooth horizontal surface and released. As the rod is in motion, the centre of mass moves
- a)horizontally
- b)vertically down
- c)in a parabolic path
- d)does not move
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A uniform straight rod is placed in vertical position on a smooth hori...
If you draw the free body diagram of the rod you will find that in X direction there will be no force acting on the rod and in Y direction there is weight and normal force acting on the rod. hence there is no external force in X direction to its centre of mass will not move in X direction but will move only in Y direction as there forces acting in that direction.
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A uniform straight rod is placed in vertical position on a smooth hori...
Explanation:
When a uniform straight rod is placed in a vertical position on a smooth horizontal surface and released, it starts to rotate about its center of mass due to the force of gravity acting on it. This rotation causes the center of mass to move in a particular path.
Center of Mass:
The center of mass of an object is the point at which the entire mass of the object is considered to be concentrated. For a uniform straight rod, the center of mass is located at the exact center of the rod.
Vertical Motion:
As the rod starts to rotate, the center of mass initially moves vertically downwards. This is because the force of gravity acts vertically downwards on the rod, causing it to accelerate downwards. The torque produced by this force causes the rod to rotate in the clockwise direction.
Horizontal Motion:
However, the horizontal motion of the center of mass remains unchanged. This is because the force of gravity acts vertically downwards and does not have any horizontal component. Therefore, there is no force causing the center of mass to move horizontally.
Parabolic Path:
The center of mass of the rod does not move in a parabolic path. This is because the rod does not experience any horizontal forces that would cause it to follow a curved path. The only motion of the center of mass is vertically downwards.
Conclusion:
In summary, when a uniform straight rod is placed in a vertical position on a smooth horizontal surface and released, the center of mass moves vertically downwards. It does not move horizontally or follow a parabolic path. This motion is a result of the torque produced by the force of gravity acting on the rod.
When a uniform straight rod is placed in a vertical position on a smooth horizontal surface and released, it starts to rotate about its center of mass due to the force of gravity acting on it. This rotation causes the center of mass to move in a particular path.
Center of Mass:
The center of mass of an object is the point at which the entire mass of the object is considered to be concentrated. For a uniform straight rod, the center of mass is located at the exact center of the rod.
Vertical Motion:
As the rod starts to rotate, the center of mass initially moves vertically downwards. This is because the force of gravity acts vertically downwards on the rod, causing it to accelerate downwards. The torque produced by this force causes the rod to rotate in the clockwise direction.
Horizontal Motion:
However, the horizontal motion of the center of mass remains unchanged. This is because the force of gravity acts vertically downwards and does not have any horizontal component. Therefore, there is no force causing the center of mass to move horizontally.
Parabolic Path:
The center of mass of the rod does not move in a parabolic path. This is because the rod does not experience any horizontal forces that would cause it to follow a curved path. The only motion of the center of mass is vertically downwards.
Conclusion:
In summary, when a uniform straight rod is placed in a vertical position on a smooth horizontal surface and released, the center of mass moves vertically downwards. It does not move horizontally or follow a parabolic path. This motion is a result of the torque produced by the force of gravity acting on the rod.
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A uniform straight rod is placed in vertical position on a smooth horizontal surface and released. As the rod is in motion, the centre of mass moves a)horizontally b)vertically down c)in a parabolic pathd)does not move Correct answer is option 'B'. Can you explain this answer?
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