Show that for a particular choice of initial conditions

Assignment Help Mechanical Engineering

Reference no: EM131099275

Bead on rod

A small bead of mass m is free to slide on a thin rod. r ω m The rod rotates in a plane about one end at constant angular velocity ω. Show that the motion is given by r = Ae-γt + Be+γt , where γ is a constant which you must find and A and B are arbitrary constants. Neglect gravity. Show that for a particular choice of initial conditions [that is, r(t = 0) and v(t = 0)] it is possible to obtain a solution such that r decreases continually in time, but that for any other choice r will eventually increase. (Exclude cases where the bead hits the origin.)

Reference no: EM131099275

Questions Cloud

How are the accelerations related : Draw a force diagram for each mass, showing all relevant coordinates.

An lr parser for expressions involving the full : The LR parser of Fig. 4.53 handles the four situations in which the top state is 4 or 5 (which occur when + and * are on top of the stack. respectively) and the next input is + or * in exactly the same way:

Draw a force diagram and obtain a differential equation : Draw a force diagram and obtain a differential equation for ω. This equation is quite simple and can be solved either by inspection or by formal integration.

Explain =description of conflict case syrian refugee crisis : Explain the DESCRIPTION OF CONFLICT CASE Syrian Refugee Crisis. CONFLICT THEORY CONCEPT EXPLANATION *Use one or more of conflict theory from James A. Schellenberg "Conflict Resolution" Theory, Research and Practice".

Show that for a particular choice of initial conditions : Show that for a particular choice of initial conditions [that is, r(t = 0) and v(t = 0)] it is possible to obtain a solution such that r decreases continually in time, but that for any other choice r will eventually increase. (Exclude cases where ..

How and when did modern yoga come into being : Who wrote the Vedas? When were they written? What themes do they cover? What is the relationship between the Upanishads and the Vedas? How do the Vedas serve as the basis for modern-day understanding and expressions of yoga?

Write a report which provides requested information beneath : Write a report which provides the requested information beneath the required internal section headings (the underlined words below).

Find the maximum and minimum speeds for the car : Find the maximum and minimum speeds for the car to stay on the road without skidding sideways.

Proposed a graph-oriented method for determining : In Section 4.6, we proposed a graph-oriented method for determining the set of strings that could be popped from the stack in a reduce move of an operator-precedence parser.

User Account

All Pages