Answered: (Further analysis of the nonlinear… | bartleby

Related questions

Question

(Further analysis of the nonlinear pendulum) Consider the nonlinear
pendulum equation:
d²0
dt²
In class we obtained the conservation
9 sin (0)
L
of energy equation:
2
L Ꮎ
1/4 (¹0) ² +
(do)* + g (1 cos (0)) = E
2 dt
(a.) What is the value of total energy E when the pendulum is hanging
vertically downwards and is at rest?

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

For a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect. U= Display response
Please Asap
A spring/mass/dashpot system has mass 5 kg, damping constant 70 kg/sec and spring constant 845 kg/sec/sec. Express the ODE for the system in the form a"+ 2px' + wr = 0 Identify the natural (undamped) frequency of the spring: wo 3= (square Hz) Identify the parameter p: (Hz) Now assume that the system has the oscillating forcing function cos(wod) with the same frequendy as the spring's natural frequency. + 14a'+ 169a = cos(wat) Find the general solution.
3 b) A mass weighing 4 pounds is attached to a spring whose constant is 2 Ib/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 14 ft/s. Find the time (in s) at which the mass attains its extreme displacement from the equilibrium position (the extreme distance after passing the equilibrium position.) Round your answer to two digits after the decimal sign.
A 9-lb. weight suspended from a spring having spring constant k = 32 lb/ft, is pushed upwards with an initial velocity vo. The amplitude of the resulting vibrations is observed to be 4 inches. (a) What is the initial velocity? (b) What is the period of the vibration?
Please help me to solve this