A 70 kg man stands in contact against the inner wall of a hollow cylindrical drum of radius 3 m rotating about its vertical axis with 200 rev/min. The coefficient of friction between the wall and his clothing is 0.15. What is the minimum rotational speed of the cylinder to enable the man to remain stuck to the wall (without falling) when the floor is suddenly removed?

Asked by Last Modified  

1 Answer

Learn Additional Exercise 5

Follow 1
Answer

Please enter your answer

Mass of the man, m = 70 kg Radius of the drum, r = 3 m Coefficient of friction, μ = 0.15 Frequency of rotation, ν = 200 rev/min The necessary centripetal force required for the rotation of the man is provided by the normal force (FN). When the floor revolves, the man sticks to the wall of the...
read more
Mass ofthe man,m= 70 kg Radius of the drum,r= 3 m Coefficient of friction,μ= 0.15 Frequency of rotation, ν = 200 rev/min The necessary centripetal force required forthe rotation of the man is provided by the normal force (FN). When the floor revolves, the man sticks to the wall of the drum. Hence, the weight of the man (mg) acting downward is balanced by the frictional force(f=μFN) acting upward. Hence,the man will not fall until: mg <f mg <μFN=μmrω2 g<μrω2 The minimum angular speed is given as: read less
Comments

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Recommended Articles

While schools provide formal education to the children, the home is where they start learning about things informally. Parents think that schools will take the initiative to educate their children. Well, this is partially true, as parents also play an essential role in bringing up their child. For the development of particular...

Read full article >

E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...

Read full article >

Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...

Read full article >

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

Looking for Class 11 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you