Calculating Angular Velocity of a Conical Pendulum | 14.6 kg, 0.5 m length

AI Thread Summary
The discussion revolves around calculating the speed of a conical pendulum with a mass of 14.6 kg and a string length of 0.5 m, swinging at an angle of 25.5 degrees. Participants express confusion regarding the inclusion of the coefficient of static friction in the speed calculation, questioning its relevance in a pendulum scenario. Some suggest that traditional pendulums are typically modeled as having a frictionless pivot, which complicates the use of friction in this context. The original poster seeks alternative equations that do not involve friction for solving the problem. Overall, the conversation highlights the complexities of applying friction concepts to pendulum dynamics.
sirfinklstin
Messages
15
Reaction score
0

Homework Statement



Consider the conical pendulum, a mass on the end of a string, with the other end of the string fixed to the ceiling. Given the proper push, this pendulum can swing in a circle at an angle theta of 25.5 degrees with respect to the vertical, maintaining the same height throughout its motion. If the mass of the pendulum M is 14.6 kg and the length of the string L is 0.5 m, what is the speed of the mass as it swings?

Homework Equations


v = (coefficient of static friction x Rg)^1/2.
R = .215 m

I am not sure how to find the coefficient of static friction here, any help is appreciated.
 
Physics news on Phys.org
sirfinklstin said:

Homework Statement



Consider the conical pendulum, a mass on the end of a string, with the other end of the string fixed to the ceiling. Given the proper push, this pendulum can swing in a circle at an angle theta of 25.5 degrees with respect to the vertical, maintaining the same height throughout its motion. If the mass of the pendulum M is 14.6 kg and the length of the string L is 0.5 m, what is the speed of the mass as it swings?

Homework Equations


v = (coefficient of static friction x Rg)^1/2.
R = .215 m

I am not sure how to find the coefficient of static friction here, any help is appreciated.

Why would friction be involved in a pendulum problem?
 
The friction was part of an equation in my physics book, but if you have another equation that would be great.
 
sirfinklstin said:
The friction was part of an equation in my physics book, but if you have another equation that would be great.

A friction term in a simple pendulum equation? Could you please post the equation and the description of the equation?

I believe that traditional pendulums are considered to have a frictionless pivot...

http://en.wikipedia.org/wiki/Pendulum

.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Foucault Pendulum at the North Pole
Replies
9
Views
2K
Max Impulse on a pendulum
Replies
1
Views
809
Simulating a Rotary Inverted Pendulum in Python
Replies
15
Views
1K
Calculate the angular velocity and angular acceleration (pendulum)
Replies
1
Views
6K
Angular velocity of a simple pendulum
Replies
2
Views
6K
Calculation of minimum angular velocity of a mass on a spinning plate
Replies
2
Views
2K
What is the Speed at the Bottom of a Vertical Circle?
Replies
9
Views
2K
Finding angular velocity -- circular motion
Replies
1
Views
2K
Angular velocity for a physical pendulum
Replies
7
Views
2K
Question about a Conical Pendulum
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top