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Sure. This is similar to 2D projectile motion near the surface of the Earth. There is always a centripetal component that becomes equal to the weight at the top of the trajectory.haruspex said:
How is centripetal force involved here? (charged mass sliding down a conducting hemisphere)
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SUMMARY
The discussion focuses on the mechanics of a charged block sliding down a conducting hemisphere, specifically analyzing the conditions under which the block loses contact with the surface. The key conclusion is that when the normal force equals zero, the sum of the vertical forces (gravity and electrostatic force) must equal the centripetal force required for circular motion. The participants emphasize the importance of understanding the forces acting on the block, including gravitational force, normal force, and electrostatic force, to derive the correct equations of motion.
PREREQUISITES- Understanding of centripetal force and its role in circular motion.
- Familiarity with free body diagrams (FBD) for analyzing forces.
- Knowledge of Newton's laws of motion, particularly in non-uniform circular motion.
- Basic principles of electrostatics, including the effects of electric forces on charged objects.
- Study the derivation of centripetal force equations in non-uniform circular motion.
- Learn how to construct and analyze free body diagrams for complex systems.
- Explore the work-energy theorem and its application in variable acceleration scenarios.
- Investigate the effects of electrostatic forces on charged objects in motion.
Physics students, educators, and anyone interested in classical mechanics, particularly those studying dynamics involving forces and motion in charged systems.