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]
2 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]2 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
Q/C An undersea earthquake or a landslide can produce an ocean wave of short duration carrying great energy, called a tsunami. W
iragen [17]

The amplitude A_{2} is 8.307 m

When describing the peak value of a quantity, such as the level of sound waves or the power and voltage in electrical and electronic systems, the term amplitude is employed. A louder sound has a bigger amplitude, and a softer sound has a smaller amplitude.

As we previously discussed in the concept session, the square root of the water's speed is inversely related to the amplitude of its waves.

A\alpha\frac{1}{\sqrt{v} }

Solve for first case:

A_{1}=\frac{1}{\sqrt{v_{1} } }

Solve for second case:

A_{2}=\frac{1}{\sqrt{v_{2} } }

So, the two equations is equal

A^{2} _{1}  v_{1} = A^{2} _{2} v_{2}

        =A^{2} _{2} \sqrt{g d_{2} }

Rearrange and solve for the amplitude A_{2} :

A_{2} =\sqrt{\frac{A^{2}_{1} v_{1} }{v_{2} } }

    =\sqrt{\frac{A^{2}_{1} v_{1}  }{\sqrt{g d_{2} } } }

    =\sqrt{\frac{(1.8m)^{2} X200 m/s }{\sqrt{9.8m/s^{2}X9 m } } }

    = 8.307 m

So, The amplitude A_{2} is 8.307 m.

Learn more about amplitude here:

brainly.com/question/3613222

#SPJ4

7 0
1 year ago
A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 24.0° below the horizontal. The negligent
tensa zangetsu [6.8K]

Answer:

(a): The car's relative position to the base of the cliff is x= 32.52m.

(b): The lenght of the car in the ir is tfall= 1.78 sec.

Explanation:

Vo= 0

V= ?

d= 50m

h= 30m

a= 4 m/s²

t= √(2*d/a)

t= 5 sec

V= a*t

V= 20 m/s

Vx= V * cos(24º)

Vx= 18.27 m/s

Vy= V* sin(24º)

Vy= 8.13 m/s

h= Vy*t + g*t²/2

clearing t:

tfall= 1.78 sec (b)

x= Vx * tfall

x= 32.52 m (a)

4 0
3 years ago
If a project team decided that a drugstore would earn the LT Credit—LEED for Neighborhood Development Location, what other Locat
DaniilM [7]

Answer:

None

Explanation:

It'll be impossible for the project to be eligible for any other LT credits because it can't double dip.

Double dip refers to obtaining money from two sources at the same time or by two separate accounting methods.

This is often regarded, unethical.

8 0
3 years ago
3. What is the relationship between the kinetic energy of molecules in an object and the object’s temperature? a. As the tempera
evablogger [386]

I think the answer A since temperature is the average kinetic energy of the molecules, so increasing temperature must increase kinetic energy

4 0
3 years ago
Read 2 more answers
What occurs when salt is evenly mixed with water
zimovet [89]
The more you mix salt with water the more the salt will dissolve
The act of dissolving in chemistry describes a physical change such as change in shape or state. Its important to remember that physical change does not change the chemical state.  

Hoped my answer helped! 
8 0
3 years ago
Read 2 more answers
Other questions:
  • What does 'equivalence' mean in circuit diagrams​
    9·1 answer
  • Imagine you are on a bus with a helium balloon tied on a string tied to the seat in front of you. the bus stops short to avoid r
    6·1 answer
  • Write about a possible scenario where you may be tempted to not use lab safety explain what the correct and most safe choice wou
    5·1 answer
  • Energy transfer by convection is usually restricted to what type of substance?
    15·2 answers
  • A golf ball starts with an initial velocity of 100m/s and slows at a constant rate of -8m/s2, what is its final velocity after 2
    6·1 answer
  • Driving on asphalt roads entails very little rolling resistance, so most of the energy of the engine goes to overcoming air resi
    9·1 answer
  • If you could travel 900 meters in 55 seconds, what is your speed?<br> (Answer in details=brainliest)
    6·1 answer
  • A satellite in orbit around the Earth has a speed of 8 km/s at a given point of its orbit. If the period is 2 h, what is the alt
    14·1 answer
  • PLZZZZZZ HELP 50 POINTS Directions
    6·1 answer
  • Which has the highest heat capacity? (values of heat capacities and calculations are unnecessary).
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!