Answered: The position-time equation for a mass m… | bartleby

Related questions

Question

(c)
The position-time equation for a mass m undergoing lightly damped oscillations is of
the form,
-bt
x(t) = 0.25 * e 2m + Cos(1.256 * 103t)
where b is the damping co-efficient defined by the equation for the damping force F,
shown below,
F = -b * v
where v is the speed of the mass.
(1) Show, using the information supplied, that the value of x(t) has dimension, L

Expert Solution

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

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.
Given a horizontal spring, an object with a mass of 5 kg is pulled to the right 15 cm to the right. (Observation was made that during 8 seconds 12 oscialtions occured druing the trial). Find the postion and velocity after 1-second. Use equation: x(t) = Acos(wt +phi) where A is max amplitude w is angular frequency t is time and phi is phase
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.
Please asap