Find the degrees of freedom in each of the following situations. Fully justify your answer. a. Consider a bead that is threaded on a rigid circular hoop of radius R lying in the XY-plane with its center at O. b. A particle is confined to move on the surface of a circular cone with its axis on the z-axis, vertex at the origin (pointing down), and half-angle a.
Find the degrees of freedom in each of the following situations. Fully justify your answer. a. Consider a bead that is threaded on a rigid circular hoop of radius R lying in the XY-plane with its center at O. b. A particle is confined to move on the surface of a circular cone with its axis on the z-axis, vertex at the origin (pointing down), and half-angle a.
Related questions
Question
Transcribed Image Text:Find the degrees of freedom in each of the following
situations. Fully justify your answer.
a. Consider a bead that is threaded on a rigid circular hoop
of radius R lying in the XY-plane with its center at O.
b. A particle is confined to move on the surface of a circular
cone with its axis on the z-axis, vertex at the origin (pointing
down), and half-angle a.
C. A simple planar pendulum is suspended from the roof of
a railroad car that is being forced to oscillate back and forth
so that the point of suspension of the pendulum from the
roof has a sinusoidal position dependence with respect to
the horizontal position coordinate.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
