An erect pencil on a frictionless plane

In summary, an erect pencil on a frictionless plane refers to the study of a pencil standing upright on a surface with no friction. This concept has significance in understanding motion, gravity, and friction, and has practical applications in engineering and physics. Factors such as initial force, angle, and external forces affect the motion of the pencil. Friction on the plane would cause the pencil to slow down and stop. This concept can also be applied to real-life scenarios, such as studying the motion of objects on a rollercoaster or designing more efficient machines.
  • #1
zheng89120
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Homework Statement



A pencil is released from rest with θ = pi/2 and topples over. Treat the pencil as a uniform rod and find the velocity of the end A when it strikes the table if the table is frictionless.

Homework Equations



Classical Mechanics

The Attempt at a Solution



conservation of energy? not sure
conservation of momentum? doesn't seem to work
 
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  • #2
zheng89120 said:

Homework Equations



Classical Mechanics

What part of Classical Mechanics do you think of?

zheng89120 said:

The Attempt at a Solution



conservation of energy? not sure

Is there any force which does work and is not conservative?

ehild
 

FAQ: An erect pencil on a frictionless plane

What is an erect pencil on a frictionless plane?

An erect pencil on a frictionless plane is a scientific concept that involves studying the motion and forces acting on a pencil that is standing upright on a surface with no friction.

What is the significance of studying this concept?

Studying an erect pencil on a frictionless plane can help scientists better understand the principles of motion, gravity, and friction. It also has practical applications in fields such as engineering and physics.

What factors affect the motion of an erect pencil on a frictionless plane?

The motion of an erect pencil on a frictionless plane is affected by the initial force that sets it in motion, the angle at which it is standing, and any external forces acting on it such as air resistance or gravitational pull.

What would happen if there was friction on the plane?

If there was friction on the plane, the pencil would not continue to move in a straight line. The force of friction would act upon it, causing it to slow down and eventually come to a stop.

How does this concept relate to real-life scenarios?

This concept can be applied to real-life scenarios such as studying the motion of objects on a rollercoaster or the trajectory of a thrown ball. It can also help engineers design more efficient machines by minimizing friction and maximizing motion.

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