Add to ORKGThe motion of a hoop hung on a spinning wire provides an illustrative and pedagogical example of a supercritical bifurcation. Above a certain angular velocity threshold Omega_c, the hoop rises, making an angle theta = (Omega-Omega_c)^(1/2) with the vertical. The equation of motion is derived in the limit of a long massless wire, and the calculated steady states are compared to experimental measurements. This simple experiment is suitable for classroom demonstration, and provides an interesting alternative to the classical experiment of the bead sliding on a rotation hoop
In three experiments, the spatio-temporal patterns produced by the kinematics of the lower limbs whi...
The motion of a gymnast around the high bar is modelled first as swinging around a rigid rod then mo...
An elastic hoop is rotated about its diameter so that as the angular speed becomes greater, the hoop...
The motion of a bead on a rotating circular hoop is investigated using elementary calculus and simpl...
Mechanics lawsA circular wire hoop rotates at a constant angular velocity while a bead, constrained ...
The evergreen problem of a bead on a rotating hoop shows a multitude of bifurca-tions when the bead ...
The celebrated mathematician John E. Littlewood noted that a hoop with an attached mass rolling on a...
International audienceA ball bouncing repeatedly on a vertically vibrating surface constitutes the f...
A well-known classroom demonstration involves the rolling of hollow and solid objects down an inclin...
We describe a simple mechanical system that involves Spontaneous Symmetry Breaking. The system consi...
Certain systems do not completely return to themselves when a subsystem moves through a closed circu...
Among spinning objects, the tippe top exhibits one of the most bizarre and counterintuitive behaviou...
Abstract Changing mass phenomena like the motion of a falling chain, the behaviour of a falling elas...
The intriguing midair oscillations of a party balloon, which occur once its buoyancy is no longer ca...
The article deals with famous mechanical problem on the weighty point of the movement of the vertica...
In three experiments, the spatio-temporal patterns produced by the kinematics of the lower limbs whi...
The motion of a gymnast around the high bar is modelled first as swinging around a rigid rod then mo...
An elastic hoop is rotated about its diameter so that as the angular speed becomes greater, the hoop...
The motion of a bead on a rotating circular hoop is investigated using elementary calculus and simpl...
Mechanics lawsA circular wire hoop rotates at a constant angular velocity while a bead, constrained ...
The evergreen problem of a bead on a rotating hoop shows a multitude of bifurca-tions when the bead ...
The celebrated mathematician John E. Littlewood noted that a hoop with an attached mass rolling on a...
International audienceA ball bouncing repeatedly on a vertically vibrating surface constitutes the f...
A well-known classroom demonstration involves the rolling of hollow and solid objects down an inclin...
We describe a simple mechanical system that involves Spontaneous Symmetry Breaking. The system consi...
Certain systems do not completely return to themselves when a subsystem moves through a closed circu...
Among spinning objects, the tippe top exhibits one of the most bizarre and counterintuitive behaviou...
Abstract Changing mass phenomena like the motion of a falling chain, the behaviour of a falling elas...
The intriguing midair oscillations of a party balloon, which occur once its buoyancy is no longer ca...
The article deals with famous mechanical problem on the weighty point of the movement of the vertica...
In three experiments, the spatio-temporal patterns produced by the kinematics of the lower limbs whi...
The motion of a gymnast around the high bar is modelled first as swinging around a rigid rod then mo...
An elastic hoop is rotated about its diameter so that as the angular speed becomes greater, the hoop...