Lifting a prism; coefficient of friction

In summary, in order to lift a prism with a mass of 80 g, touching only the upper two faces, a minimum force of μN must be applied to each face, where μ is the coefficient of friction and N is the force applied perpendicularly to the plane of the prism. The prism angle is needed to accurately resolve the forces.
  • #1
kate12
6
0

Homework Statement


A prism has a mass of m = 80 g, and you wish to lift it, touching
the upper two faces only. If the coecient of friction between the prism’s surface and
your skin is  = 0:4, what is the minimum force that must be applied to each face?


Homework Equations


F=μR


The Attempt at a Solution


I drew the forces perpendicular to the two surfaces. I don't really know how to resolve them, and how F=μR comes into it.
 
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  • #2
The question seems incomplete without mentioning what kind of prism it is...You cannot resolve the forces to anything useful. if you don't know the prism angle.
 
  • #3
We need a net force equal the weight of the prism, passing thru the centre of mass.
This net force is equal to the resultant of 2 forces, each from each finger.
The force from each finger is equal or less than maximum static friction between finder and prism.
The static friction is equal μN where N equal to force applied if it is applied perpendicularly to the plane of the prism.
 

Related to Lifting a prism; coefficient of friction

1. What is a prism and why is it important in science?

A prism is a transparent optical element with flat, polished surfaces that refract light. It is important in science because it helps to separate white light into its component colors and is used in various scientific experiments and studies.

2. How do you lift a prism without damaging it?

To lift a prism without damaging it, you should always handle it by the edges or use special prism handling tools. Avoid touching the surfaces of the prism as it can leave fingerprints or scratches that can interfere with the light refraction.

3. What is the coefficient of friction and how does it relate to lifting a prism?

The coefficient of friction is a measurement of the resistance between two surfaces in contact with each other. When lifting a prism, the coefficient of friction is important because a higher coefficient means it will require more force to lift the prism, increasing the risk of dropping or damaging it.

4. What factors can affect the coefficient of friction when lifting a prism?

There are several factors that can affect the coefficient of friction when lifting a prism, such as the surface roughness of the prism and the material it is being lifted from, the weight and shape of the prism, and any external forces acting on the prism.

5. How can you measure the coefficient of friction when lifting a prism?

The coefficient of friction can be measured by using a force meter or a spring scale to determine the amount of force needed to lift the prism. The weight of the prism can also be measured and used in conjunction with the force measurement to calculate the coefficient of friction.

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