Answer:

Explanation:
The standard form of the 2nd order differential equation governing the motion of mass-spring system is given by

Where m is the mass, ζ is the damping constant, and k is the spring constant.
The spring constant k can be found by




The damping constant can be found by



Finally, the mass m can be found by



Where g is approximately 32 ft/s²

Therefore, the required differential equation is


The initial position is

The initial velocity is

Answer
given,
capacitance = C = 3.4-µF
inductance = L = 0.08 H
frequency is expressed as

time period

after time T/4 current reach maximum



t = 8.2 x 10⁻⁴ s
t = 0.82 ms
b) using law of conservation





I = 0.010 A
I = 10 mA
When scientists work together it helps them achieve their goals when they share different ideas with eachother
If you mean S is the distance then it is true
Velocity = Distance / time
Answer:
31.1 N
Explanation:
m = mass attached to string = 0.50 kg
r = radius of the vertical circle = 2.0 m
v = speed of the mass at the highest point = 12 m/s
T = force of the string on the mass attached.
At the highest point, force equation is given as

Inserting the values

T = 31.1 N