Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6500 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 26000 lbs/foot. Assume no damping and determine the period of oscillation of the vertical motion of the car.
Required:
a. Assume no damping and determine the period of oscillation of the vertical motion of the car.
b. After 10 seconds the car body is 1/3 foot above its equilibrium position and at the high point in its cycle. What were the initial conditions?
Answers
Answer:
0.43622 seconds
0.9158 foot
-4.43 ffot/sec
Explanation:
we first find the period of oscillation
= 2π√w/gk
= 2π√4000/32x2600
= 2π√0.00481
= 2π0.0694
= 0.43622
b. we find the angular velocity
2π/T
= 2π/0.43622
= 14.41 rad/sec
we find displacement
rom the calculation in the attachment
Ф = -144.1
initial condition
1*cos(-144.1 rad)
= 0.9158 foot
initial velocity of the car
= (-1)(14.41)sin(ω(0)-144.1)
= -4.44 foot/sec
Related Questions
A force of 20 N acts on a smaller piston of a hydraulic press with an area of 10 dm2. How much force does the liquid act on a larger piston of 120 cm2?
Answers
Answer:
166.67 N
Explanation:
Applying Pascal's principle,
Presure in the smaller piston(P') = Pressure in the bigger piston(P)
But,
Pressure = Force/Area
Pressure in the smaller piston(P') = Force applied to the smaller piston(F')/Area of the smaller piston(A')
Pressure in the bigger piston(P) = Force applied to the bigger piston(F)/Area of the bigger piston(A)
F'/A' = F/A.................. Equation 1
Make F the subject of the equation
F = F'A/A'.............. Equation 2
From the question,
Given: F' = 20 N, A = 120 cm², A' = 10 dm² = (10×100) = 1000 cm²
Substitute these values into equation 2
F = 20(1000)/120
F = 166.67 N
Answer please: A box weighing 890 N is pulled along a horizontal surface by means of a string which is at 30° above the horizontal. If the coefficient of kinetic friction is 0.2 and the box is accelerated at 0.8 m/s2, what is the tension in the string?
Answers
Answer:
vertical problem:
normal force = weight - string up force
= 890 - T sin 30 = 890-.5 T
horizontal problem:
T cos 30 - .2(890-.5T) = (890/9.81) (0.8)
solve for T
The tension in the string is 257.97 N.
What is meant by tension ?A force that acts along the length of a medium, particularly one conveyed by a flexible medium like a rope or cable, is said to be the tension.
Here,
Weight of the box, W = 890 N
Mass of the box, m = 890/10 = 89 kg
Angle made by the string, θ = 30°
Coefficient of kinetic friction, μ = 0.2
Acceleration of the box, a = 0.8 m/s²
The normal force acting on the box,
Fn = W - Ty
Fn = W - T sin30°
Fn = 890 - T/2
So, the frictional force acting on the box can be given as,
f = μ x Fn
f = 0.2(890 - T/2)
Therefore, the net force acting on the box will be,
ma = Tₓ - f
89 x 0.8 = T cos30° - 0.2(890 - T/2)
0.966 T = 249.2
Therefore, the tension in the string,
T = 249.2/0.966
T = 257.97 N
Hence,
The tension in the string is 257.97 N.
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A 20" round duct is 275' in length. The duct is carrying 2,900 CFM at a friction loss of 0.12 inches WG per 100 feet.
What is the total friction loss through the duct?
Answers
A physics professor demonstrates the Doppler effect by tying a 900 Hz sound generator to a 1.0- m -long rope and whirling it around her head in a horizontal circle at 100 rpm .
1. What is the difference between the highest frequency heard by a student in the classroom and the initial frequency of the sound generator?
2. What is the difference between the lowest frequency heard by a student in the classroom and the initial frequency of the sound generator?
Answers
Drag and drop a term to match these examples with the correct level of organization.
Tissue:
Organ:
Organ system:
--------------------------------------------------------------------------------------------------------------
A-cardiac muscle
B-circulatory system
C-heart
D-human body
Answers
Answer:
Tissue: cardiac muscle
Organ: Heart
Organ System: Human Body, Circulatory System
Explanation:
The cardiac muscle makes up an organ, making it a tissue
The Heart makes up a organ system, making it an organ
Both the human Body and The Circulatory System make up an organism, making them organisms
A spacecraft is powered by electricity generated by the heat produced when 23894Pu decays with a half-life of 87.75 y. Engineers predict that the spacecraft will have insufficient power to operate its instruments when the amount of 238 94Pu in its power generators drops below 67 % of the amount it had at launch on September 1, 1977
Required:
In what year will its instruments cease to function?
Answers
A student must determine how the mass of a block affects the period of oscillation when the block is attached to a vertical spring. The value of the spring constant is known. The student writes the following experimental procedure.
1. Use an electronic balance to measure the mass of the block.
2. Attach the block to the vertical spring.
3. Displace the block from the system's equilibrium position to a new vertical position.
4. Release the block from rest.
5. Use a meterstick to measure the vertical displacement of the center of mass of the block from the system's equilibrium position to its maximum vertical position above the equilibrium position.
6. Use a stopwatch to measure the time it takes for the system to make ten complete oscillations.
7. Repeat the experiment for different vertical displacements and block masses.
Which of the following steps of the procedure should the student revise to make the determination? Justify your selection.
a. Step 3, because the student must specify whether the new vertical position should be above or below the system's equilibrium position.
b. Step 5, because the meterstick should be used to measure total displacement of the system from its lowest vertical position to its highest vertical position.
c. Step 6, because the stopwatch should be used only to measure the time it takes for the system to make 1 complete oscillation.
d. Step 7, because the experiment should not be repeated for different vertical displacements and block masses.
Answers
Answer:
the step that the student should change is step 7
Explanation:
The movement of the spring with block is a simple harmonic type movement, so the procedure proposed by the student is correct, but we must take some care.
Step 3 is important since each movement will be started with similar conditions, also if any displacement is very large we can get out of the linear approximation of Hooke's law, for which we need to know the equilibrium point, since from this point displacements will be measured.
Step 6 should be changed to measure various oscillations to find the average period and thus decrease the error in the time reading.
Step 7 is wrong since the objective of the experiment is to analyze the effect of different masses in the period of oscillation and this step prevents this objective from being carried out.
In conclusion, the step that the student should change is step 7
The step that should be revised to make the determination is c. Step 6, because the stopwatch should be used only to measure the time it takes for the system to make 1 complete oscillation.
Why should step 6 be revised?The student is trying to find the effect of the mass of the block on the period of oscillation in different vertical displacements.
The best way to do this is to measure the time taken per oscillation as this would show a much clearer picture to find the effect of the mass on the oscillation. Timing 10 oscillations will yield incorrect results.
In conclusion, option C is correct.
Find out more on measuring the effect of mass on oscillation at https://brainly.com/question/14745507.
1. Which of the following statement is correct?
A. You should panic when earthquake hits.
B. You should run while the earthquake is going on,
C. You should not follow what the proper authorities will tell you.
D. You should prepare an emergency plan to cope with the disaster.
2. What should you do during an earthquake?
A. You should run out of the house.
B. You should duck, cover, and hold.
C. You should panic and stay only inside the house.
D. You should lock your door so that nobody can enter,
Answers
Answer:
1.
D. You should prepare an emergency plan to cope with the disaster.
2.
B. You should duck, cover, and hold.
Explanation:
Because Panic and stress are the main reasons that make the situation worse during natural disasters. Disasters are aggravated when people add chaos to the equation. It's important not to panic during an earthquake. You must maintain a rational state of mind so that you don't do something regretful out of fear.
A. You should panic when earthquake hits. ❌
B. You should run while the earthquake is going on. ❌
C. You should not follow what the proper authorities will tell you. ❌
[tex]\sf\purple{D.\:You \:should \:prepare\: an \:emergency \:plan\: to \:cope\: with\: the\: disaster. }[/tex]✅
........................................................................
2. What should you do during an earthquake?A. You should run out of the house. ❌
[tex]\sf\pink{B.\:You\: should \:duck,\: cover, \:and \:hold.}[/tex] ✅
C. You should panic and stay only inside the house. ❌
D. You should lock your door so that nobody can enter. ❌
........................................................................
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Which statement is true about the part of the electromagnetic spectrum that human eyes can detect?
It contains ultraviolet, visible, and infrared light.
It is divided into nine ranges of wavelengths.
It is divided into seven ranges of wavelengths.
It contains only the colors of the rainbow and television waves.
Answers
Answer:
A. it contains ultraviolet, visible, and infrared light
Answer:
It is divided into seven ranges of wavelengths
Explanation:
i took the test
SOMONE PLEASE HELP ASAP!!!!
Answers
violet
it has the shortest wavelength
What is the relationship between a magnets magnetic force and a magnetic field?
Answers
Answer:
Electric forces exist among stationary electric charges; both electric and magnetic forces exist among moving electric charges. The magnetic force between two moving charges may be described as the effect exerted upon either charge by a magnetic field created by the other.
Answer:
i think this could help you
i need help with these questions thank u
Answers
Answer:
duvergentv boundaries
what do you mean by wave
optics
Answers
Answer:
hope it helps.
stay safe healthy and happy.explain the reason why water wet glass why Mercury does not
Answers
Answer:
Mercury does not wet the glass because the cohesive force with the drops is stronger than the adhesive force between the drops and glass.
...https://www.toppr.com › ask › en-us › question › merc..
Explanation:
State the role of an electromotive force (EFF) in a current flow
Answers
Answer:
The emf source acts as a charge pump, moving negative charges from the positive terminal to the negative terminal to maintain the potential difference. This increases the potential energy of the charges and, therefore, the electric potential of the charges.
Explanation:
MARK AS BRAINLEST!!
PLEASE HELP ME ASAP!!!!
Answers
Answer:
otinni oSame lage ta dili pud ko ka comment sa live Ni madamstin
Answer:
it can be used to locate underwater objects
I want the answer and that’s all
Answers
Answer:
Cuboid?
Explanation:
Car A of mass 1200kg traveling at 10m/s , collided in too the back of the car B, which is stationary. Following the collision,. The two cars stick together and travel at 6m/s. What is the mass of a car B?
Answers
Answer:
Car B has a mass of 800 kg.
General Formulas and Concepts:
Momentum
Law of Conservation of Momentum: [tex]\displaystyle m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_{f}[/tex]
Explanation:
Step 1: Define
Identify variables
[Given] m₁ = 1200 kg
[Given] v₁i = 10 m/s
[Solve] m₂
[Given] v₂i = 0 m/s
[Given] vf = 6 m/s
Step 2: Solve for m₂
Substitute in variables [Law of Conservation of Momentum]: (1200 kg)(10 m/s) + m₂(0 m/s) = (1200 kg + m₂)(6 m/s)Multiply: 12000 kg · m/s = (1200 kg + m₂)(6 m/s)Isolate m₂ term: 2000 kg = 1200 kg + m₂Isolate m₂: 800 kg = m₂Answer:
Explanation:
Caraofmass1200kg
leafy greens are considered the healthiest vegetable because of their ___ nutrients profile
Answers
Dense because food do be dense tho
The nuclear reactions inside a star, such as our
sun, convert hydrogen into helium by means of a
process
known as?
Answers
Answer:
fusion
Explanation:
The nuclear reactions inside convert hydrogen into helium by means of a process known as fusion. It is this nuclear reaction that gives a star its energy. Fusion takes place when the nuclei of hydrogen atoms with one proton each fuse together to form helium atoms with two protons.
A hammer taps on the end of a 5.0-mm-long metal bar at room temperature. A microphone at the other end of the bar picks up two pulses of sound, one that travels through the metal and one that travels through the air. The pulses are separated in time by 9.00 ms.
Required:
What is the speed of sound in this metal?
Answers
Answer:
896.5 m/s
Explanation:
Given that :
Length of metal bar, λ= 5 m
Velocity in air, v = 343 m/s
Change in air frequency : = λ / v
f = 5 / 343 = 0.0145772 s = 14.5772 ms
Seperation time = 9ms
Change in time, t = 14.5772 - 9 = 5.5772 ms
Recall :
Velocity = Distance / time
V = 5m / 5.5772 * 10^-3 s
V = 896.50720 m/s
Velocity = 896.5 m/s
a shopping bag can provide an upward force of 65N before breaking. A shopper puts 5 kg of groceries in the bag. If the shopper tries to lift the bag with an upward acceleration of 2 m/s/s, will the bag break?
Answers
Answer:
Since Force is Mass * Acceleration, the equation would be:
5kg * 2m^2 = 10N
(10N is less than 65N)
Therefore, it would not be enough force for the bag to break.
What is the frequency of a 5 m wave traveling at the speed of 200 m/s
Answers
Explanation:
f=v/wavelength
=200/5
=40Hz
The center of mass of a uniform disk of radius
Ris located where?
Answers
Answer:
At the centre
Explanation:
To prove the position of the centre of mass, usually we take a strip across the circular disc and call it dy; calculate the length of the strip; calculate the mass per unit area of the disc. And then when we carry out some integral operations using R and -R as the boundaries we will arrive at y_cm = 0 which means the centre y_cm is at the centre of mass of this uniform disc.
I stand 0.72 meters in front of a mirror and look at the person on the other side who looks like me. That person is actually younger than me by a small amount. How much?
Answers
Answer:
Younger by nanoseconds
Explanation:
Not entirely sure :O
The is a pulley system as shown in the diagram. Mass one has a magnitude of 5.11 kg, and mass two has a magnitude of 3.01 kg. If the static frictional force has a magnitude of 31.833N. and the system is stationary, then determine Theta and the normal force.
if someone can answer quickly it's very much appreciated.
Answers
Maybe b normal focrec N??
How far an object moves from a reference point is known as
type your answer...
Answers
Answer:
distance
hope it helps
Explanation:
-
PLEASE HELP I NEED THE CORRECT ANSWER TODAY
Answers
Answer:
The most common oxidation numbers for a given element
An object is placed of 20cm from a concave mirror whose focal length is 10cm. what is the distance of image formed ?
Answers
Answer:
Answer 43cm
Explenation:
if you divide it to 4 it will convert to 43 so answer is 43cm if this wrong im sorry but mine is perfect thankss :)
A neutral metal can is mounted on a foam stand. A positively
charged balloon is brought near. The can is touched on the
opposite side.
Answers
Answer:
Negative
Positive
Explanation:
When a positive charge balloon is brought near the neutral metal can, the positive charge in the ballon, delocalization and arrangement of like charges occurs. The positive charge then flow to the an end while the negative charges flows to the other end.
Thus, after being touched, the charge on the can is negative.
And, If not touched, the charge on the ballon remains positive.
After being touched, the charge on the can is negative and the charge on the balloon is positive.
What is charging by friction?When the two materials are rubbed each other, then the electric charged generated between them.
This charging of materials due to the rubbing or two materials against each other, is called the charging by friction.
This force of attraction or repulsion is identified by the sign of the particular charge. According to the property of interacting charges-
Like charges-For the like charges, when two charges same charges (positive-positive or negative -negative) interact to each other, then the charges repel each other.Unlike charges-For the unlike charges, when two charges interact to each other, then the charges attract each other.Here, the neutral metal can is mounted on a foam stand. A positively charged balloon is brought near. The can is touched on the opposite side.
The positive charge on the balloon, make it to lose the electron. By this, the balloon become positively charged.
The atom on the opposite side have an excess of electron. Thus, the can become negatively charged.
Hence, after being touched, the charge on the can is negative and the charge on the balloon is positive.
Learn more about the charging by friction here;
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