1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
uranmaximum [27]
3 years ago
9

A 16 lb weight stretches a spring 6 inches in equilibrium. It is attached to a damping mechanism with constant c. Find all value

s of c such that the free vibration of the weight has infinitely many oscillations.
Physics
1 answer:
arlik [135]3 years ago
6 0

Answer:

-8

Explanation:

Given data:

Weight W = 16 lb

length l = 6/12 = 0.5 ft

hence, spring constant  k = W/l = 16/0.5 = 32 lb/ft

The equation of motion of spring is

mx''+cx+kx=0\\0.5x''+cx'+32x=0

the auxiliary equation can be written as

0.5r^2+cr+32=0\\r^2+2cr+64=0

The discriminate of equation is

D =(2c)^2+-4(1)(64)\\=4(c^2-64)

To get the value of the damping constant,

D

You might be interested in
With detailed explaniation
belka [17]
  • Ø=37°
  • Initial velocity=u=20m/s
  • g=10m/s²

#A

\\ \rm\Rrightarrow H_{max}=\dfrac{u^2sin^2\theta}{2g}

\\ \rm\Rrightarrow H_{max}=\dfrac{20^2(sin37)^2}{2(10)}

\\ \rm\Rrightarrow H_{max}=\dfrac{400sin^237}{20}

\\ \rm\Rrightarrow H_{max}=20sin^237

\\ \rm\Rrightarrow H_{max}=7.2m

#B

\\ \rm\Rrightarrow R=\dfrac{u^2sin2\theta}{g}

\\ \rm\Rrightarrow R=\dfrac{20^2sin74}{10}

\\ \rm\Rrightarrow R=40sin74

\\ \rm\Rrightarrow R=38.5m

#C

\\ \rm\Rrightarrow T=\dfrac{2usin\theta}{g}

\\ \rm\Rrightarrow T=\dfrac{2(20)sin37}{10}

\\ \rm\Rrightarrow T=4sin37

\\ \rm\Rrightarrow T=2.4s

Now

\\ \rm\Rrightarrow v=u-gt

\\ \rm\Rrightarrow v=20-10(2.4)

\\ \rm\Rrightarrow v=20-24

\\ \rm\Rrightarrow v=-4m/s

4 0
2 years ago
Determine the potential difference between two charged parallel plates that are 0.50 cm apart and have an electric field strengt
fiasKO [112]
E = \frac{V}{r} \\ V = \frac{E}{r} \\ V = \frac{9.0V/cm}{0.5cm} \\ V = 18V
4 0
3 years ago
Inside a television picture tube there is a build-up of electrons (charge of 1.602 × 10^–19 C) with an average spacing of 38.0 n
Brut [27]
The magnitude of electric field is produced by the electrons at a certain distance.

E = kQ/r²

where: 
E = electric field produced
Q = charge
r = distance
k = Coulomb Law constant 9 x10^9<span> N. m</span>2<span> / C</span><span>2

Given are the following:
Q = </span><span>1.602 × 10^–19 C
</span><span>r = 38 x 10^-9 m

Substitue the given:
E = </span>\frac{( 1.602 x 10^{-19} )( 9.0x10_{9} )}{(38x10^{-9}) ^{2} }

E = 998.476 kN/C


8 0
3 years ago
Read 2 more answers
If a bus travel 200 km in 45 minutes calculate the speed in kilometre per minute​
erma4kov [3.2K]

Answer:

multiply that and divided by 45

6 0
3 years ago
Read 2 more answers
What weighs more a mole of feathers or bricks?
harkovskaia [24]
Avogadro's mole is a number, like 6.023 *10^23

your question is the equivalent of asking if 100 feathers or 100 bricks weigh more

the mole of bricks would weigh more
 
6 0
3 years ago
Other questions:
  • "two planets have the same mass, but planet a has 3 times the radius of planet
    15·1 answer
  • A ball is thrown forward at 5 m/s. How would the path of the ball differ on Earth than on the moon? The ball would follow a curv
    6·2 answers
  • A hammer exerts 49.8 N of force on the head (r=0.00510 m) of a nail. How much pressure does it exert on the nail?
    11·1 answer
  • A bullet is fired from a rifle pointed 45 degrees above horizontal. The bullet leaves the muzzle traveling 1400 m/s. How many se
    7·1 answer
  • A 500-kg elevator is raised to a height of 20 m in 10 seconds. Calculate the power of the motor.
    10·2 answers
  • What is the net force on this object?​
    5·1 answer
  • Which statement best describes a scientific law?
    5·1 answer
  • When charges build up on a surface they:
    6·2 answers
  • Name all the elements are in a molecule of indigo
    13·1 answer
  • A projectile is launched at an angle of 29 degrees above the horizontal with an initial velocity of 36.6 at an unknown height.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!