Friction of Pivot: Torque Calculation

In summary, the torque exerted by the friction of a pivot on the oscillation of a pendulum can be calculated using the equation Torque = \mu m g r, where \mu is the coefficient of friction, m is the total mass supported by the pivot, and r is the radius of the axis/rod. This relationship has been found in one online source and is not discussed in any mechanical books. It is assumed that sliding friction is the only source of friction, and any other sources, such as viscous friction, can be ignored if the pendulum is in a vacuum chamber.
  • #1
H_man
145
0
Hi,

I just wanted to verify that the Torque that the friction of a pivot would exert against the oscillation of a pendulum was:

Torque = [tex] \mu [/tex] m g r

Where [tex] \mu [/tex] is the coefficient of friction, m is the total mass that is being supported by the pivot and r is the radius of the axis/rod that is supporting the pendulum. So the rod turns in the pivot as the pendulum oscillates.

So far I have only found one online link to this and it doesn't seem to be discussed in any of the mech. books I've been looking through.
 
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  • #2
That would make the most sense if you are assuming that the sliding friction is the only source.
 
  • #3
Well, the pendulum is in a vacuum chamber so I can completely ignore viscous friction... this is clear from the motion, the way the damping occurs, ie linear as opposed to exponential.

Can you think of any other sources??

Thanks for your help
 

FAQ: Friction of Pivot: Torque Calculation

What is friction of pivot?

Friction of pivot, also known as pivot friction, is the resistance to movement or rotation at a pivot point. It is caused by the contact between the pivot and the object it supports.

What factors affect friction of pivot?

The factors that affect friction of pivot include the type and shape of the pivot, the surface area of contact, the weight of the object being supported, and the material properties of the pivot and object.

How is torque calculated in relation to friction of pivot?

Torque, also known as moment of force, is calculated by multiplying the distance from the pivot point to the applied force by the magnitude of the force. In the case of friction of pivot, torque is affected by the amount of friction present at the pivot point.

Why is friction of pivot important in scientific research?

Friction of pivot is important in scientific research because it can affect the accuracy and precision of measurements and experiments. It is especially important in fields such as mechanics, engineering, and physics where precise and reliable data is necessary.

How can friction of pivot be reduced?

Friction of pivot can be reduced by using lubricants, such as grease or oil, at the pivot point, using materials with low coefficients of friction, and minimizing the weight of the object being supported. Additionally, regular maintenance and cleaning of the pivot can help reduce friction over time.

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