Mass Impact on Hinged Rod: Single Plane Explained

In summary, the motion of a hinged object, such as a mass hitting the end of a hinged rod, is always confined to a single plane that is normal to the axis provided by the hinge. This is similar to the motion of a keyhole on a door as the door rotates. The reason for this is that the motion of the mass and rod is circular, which lies in a plane that is perpendicular to the angular momentum vector of the objects. This is a condition for the conservation of angular momentum and is why linear momentum cannot apply in this situation.
  • #1
captainjack2000
99
0
1. A mass is hitting the end of a hinged rod. After impact they begin to rotate.
The motion is then confined to a single plane. why? what plane?

3. I am a bit confused by what they mean by a single plane. Are they saying that there are only x,y coordinates? Is this just a condition for the conservation of angular momentum or a reason why linear momentum cannot apply?
 
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  • #2
The motion of any point on a hinged object is always confined to a single plane in the lab-frame. This is the plane that is normal to the axis provided by the hinge.

Consider, for example, the motion of the keyhole on a door, as the door rotates.
 
  • #3
I'm sorry but I still don't understand why it has to be considered in the single plane?
 
  • #4
The motion of the mass and the rod is a circle. Circle lies in a place, perpendicular to the angular momentum vector of the objects moving round the hinge... I think
 

FAQ: Mass Impact on Hinged Rod: Single Plane Explained

What is the concept of mass impact on hinged rod in a single plane?

The concept of mass impact on a hinged rod in a single plane refers to the effect of a force or weight on a rod that is attached to a fixed point or hinge, causing it to rotate or move. This can be seen in various mechanical and structural systems, such as doors, gates, and bridges.

How does mass impact affect the stability of a hinged rod?

Mass impact can greatly affect the stability of a hinged rod. If the rod is not properly designed to withstand the mass impact, it can result in structural failure or instability. This is why it is important to consider the mass and force applied to a hinged rod when designing and constructing it.

What factors influence the impact of mass on a hinged rod?

Several factors can influence the impact of mass on a hinged rod. These include the weight of the rod itself, the weight of any attached objects or loads, the angle at which the force is applied, and the strength and design of the hinge or fixed point.

What are the potential consequences of not taking mass impact into account when designing a hinged rod?

If mass impact is not properly taken into account when designing a hinged rod, it can result in structural failure or instability. This can lead to safety hazards, damage to surrounding structures, and costly repairs or replacements.

How can the impact of mass on a hinged rod be calculated and predicted?

The impact of mass on a hinged rod can be calculated and predicted using mathematical equations and principles, such as Newton's laws of motion and the principles of mechanics. Computer simulations can also be used to accurately predict the behavior of a hinged rod under different masses and forces.

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