Mass with small charge sliding down a ramp

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SUMMARY

The discussion centers on the physics of a mass sliding down a ramp and the resulting electromagnetic effects. When the mass moves, it induces a current due to its interaction with the magnetic field (B field). The Fleming's right-hand rule is applied to determine the direction of the current and the magnetic force. The initial confusion regarding the direction of the magnetic force relative to the normal force is clarified, confirming that the magnetic force acts opposite to the normal force.

PREREQUISITES
  • Understanding of Fleming's right-hand rule
  • Basic knowledge of electromagnetic induction
  • Familiarity with the concepts of magnetic fields and forces
  • Knowledge of classical mechanics related to motion on inclined planes
NEXT STEPS
  • Study the principles of electromagnetic induction in detail
  • Learn about the applications of Fleming's right-hand rule in various scenarios
  • Explore the relationship between magnetic fields and forces on moving charges
  • Investigate the dynamics of objects on inclined planes in the presence of magnetic fields
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of electromagnetism and mechanics, particularly in scenarios involving motion and magnetic fields.

wcjy
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Homework Statement
A mass m with a small charge q slides from rest on a rough incline which is at an
angle theta to the horizontal. The coefficients of static friction and kinetic friction are
denoted by U_s and U_k respectively. A magnetic field B is directed out of the page
(see Figure 8(a)).

(ii) Derive an expression for U_k when the mass is accelerating with acceleration a and moving with speed v.
Relevant Equations
f = uN
1606269323331.png


When the mass starts sliding down, it will induce a current due to the cutting of B field.
By fleming right-hand rule, the B field points into the field, charge going in the direction down the ramp (current pointing down the ramp?),
therefore the force should be in the same direction of normal.

However, the answer seems to suggest that the magnetic force is acting opposite from the normal. Is my understanding wrong for the direction of current?

The picture below shows the answer:
1606269692219.png
 
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ERM I SOLVED IT. I WAS JUST DUMB. IDK HOW TO DELETE THOUGH
 
wcjy said:
When the mass starts sliding down, it will induce a current due to the cutting of B field
No, you are thinking of a magnetic field inducing a current in a conductor moving through it. The situation here is the field inducing a force on a 'current' (the moving charge).
Glad to see you, ahem, rectified your use of the right hand rule.
 

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