Purchase Solution

Circular Motion and Gravitation: bead can slide without friction on a circular hoop

Not what you're looking for?

Ask Custom Question

A bead can slide without friction on a circular hoop with a radius of .100 m in a vertical plane. The hoop rotates at a constant rate of 3.00 rev/s about a vertical diameter.

a) find the angle θ at which the bead is a vertical equilibrium.

b) is it possible for the bead to "ride" at the same elevation as the center of the Hoop?

c) what will happen if the hoop rotates at 1 rev/s?

Purchase this Solution

Solution Summary

The solution explains the problem and shows the workings to arrive at the answers.

Solution Preview

a.)
Radius of hoop (R) = 1.00 m (I think .100m is typo, but any way! I have solved for both values.)
angular rotation of hoop (w)= 2*pi*f

pi = 22/7, f = rev/sec = 3.00, w == omega (angular frequency)
therefore,
w = 2*pi*3 = 18.85 rad/sec
see attached file.
because, radius of circular motion of bead = R*sin(Q)
here Q == theta.
therefore,
centrifugal force:
Fp(pseudo ...

Solution provided by:
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
Recent Feedback
  • " In question 2, you incorrectly add in the $3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
  • "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
  • "Answer was correct"
  • "Great thanks"
  • "Perfect solution..thank you"
Purchase this Solution


Free BrainMass Quizzes
Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

The Moon

Test your knowledge of moon phases and movement.

Basic Physics

This quiz will test your knowledge about basic Physics.