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Two smooth spheres each of radius 5 and Weight W rest one on the other inside a fixed smooth cylinder of radius 8cm. The reactions between the speres and the vertical side of cylinder are?
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Two smooth spheres each of radius 5 and Weight W rest one on the other...
Reactions between the spheres and the vertical side of the cylinder
- Explanation:
When the two spheres are placed one on top of the other inside the cylinder, they will experience a reaction force from the vertical side of the cylinder. This reaction force can be broken down into two components: normal force and frictional force.
- Normal force:
The normal force is the force exerted by the vertical side of the cylinder on the spheres perpendicular to the contact surface. Since the spheres are in equilibrium, the normal force acting on each sphere will be equal to the weight of the sphere directly above it, which is W.
- Frictional force:
The frictional force is the force exerted by the vertical side of the cylinder on the spheres parallel to the contact surface. Since the surfaces are smooth, there is no frictional force acting between the spheres and the cylinder.
- Resultant force:
The resultant force acting on each sphere will be the vector sum of the normal force and the weight of the sphere itself. Since the spheres are in equilibrium, the resultant force will be zero in the vertical direction.
- Conclusion:
Therefore, the reactions between the spheres and the vertical side of the cylinder are purely normal forces equal to the weight of the sphere above each sphere. Frictional forces are absent due to the smooth surfaces involved.
- Explanation:
When the two spheres are placed one on top of the other inside the cylinder, they will experience a reaction force from the vertical side of the cylinder. This reaction force can be broken down into two components: normal force and frictional force.
- Normal force:
The normal force is the force exerted by the vertical side of the cylinder on the spheres perpendicular to the contact surface. Since the spheres are in equilibrium, the normal force acting on each sphere will be equal to the weight of the sphere directly above it, which is W.
- Frictional force:
The frictional force is the force exerted by the vertical side of the cylinder on the spheres parallel to the contact surface. Since the surfaces are smooth, there is no frictional force acting between the spheres and the cylinder.
- Resultant force:
The resultant force acting on each sphere will be the vector sum of the normal force and the weight of the sphere itself. Since the spheres are in equilibrium, the resultant force will be zero in the vertical direction.
- Conclusion:
Therefore, the reactions between the spheres and the vertical side of the cylinder are purely normal forces equal to the weight of the sphere above each sphere. Frictional forces are absent due to the smooth surfaces involved.
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Two smooth spheres each of radius 5 and Weight W rest one on the other inside a fixed smooth cylinder of radius 8cm. The reactions between the speres and the vertical side of cylinder are?
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Two smooth spheres each of radius 5 and Weight W rest one on the other inside a fixed smooth cylinder of radius 8cm. The reactions between the speres and the vertical side of cylinder are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two smooth spheres each of radius 5 and Weight W rest one on the other inside a fixed smooth cylinder of radius 8cm. The reactions between the speres and the vertical side of cylinder are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two smooth spheres each of radius 5 and Weight W rest one on the other inside a fixed smooth cylinder of radius 8cm. The reactions between the speres and the vertical side of cylinder are?.
Two smooth spheres each of radius 5 and Weight W rest one on the other inside a fixed smooth cylinder of radius 8cm. The reactions between the speres and the vertical side of cylinder are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two smooth spheres each of radius 5 and Weight W rest one on the other inside a fixed smooth cylinder of radius 8cm. The reactions between the speres and the vertical side of cylinder are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two smooth spheres each of radius 5 and Weight W rest one on the other inside a fixed smooth cylinder of radius 8cm. The reactions between the speres and the vertical side of cylinder are?.
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