Use the Principle of Virtual Work to find the equilibrium position of the system in terms of the angle 0 [tex]$\frac{mg}{\sin\theta}\frac{d\theta_2}{dx} -mg -kx + mg\theta\frac{d\theta_1}{dx} = 0$[/tex]
[tex]$\delta W_{BP} = T\delta\theta_2 = \frac{mg}{\sin\theta}\delta\theta_2$[/tex]
The virtual work done by the weight of the block is:
[tex]$\delta W_{mg} = -mg\delta x$[/tex]
The virtual work done by the force exerted by the spring is:
[tex]$\delta W_{kx} = -kx\delta x$[/tex]
Using the small angle approximation [tex]$\tan\theta\approx\theta$[/tex] for small angles, we can express the virtual work done by the tension in terms of [tex]$\delta\theta_1$[/tex]:
[tex]$\delta W_{OB} = T\delta\theta_1 = mg\theta\delta\theta_1$[/tex]
Since the system is in equilibrium, the virtual work done by all the virtual forces must be zero:
[tex]$\delta W_{BP} + \delta W_{mg} + \delta W_{kx} + \delta W_{OB} = 0$[/tex]
[tex]$\frac{mg}{\sin\theta}\delta\theta_2 -mg\delta x -kx\delta x + mg\theta\delta\theta_1 = 0$[/tex]
Dividing by [tex]$\delta x$[/tex] and taking the limit as [tex]$\delta x\[/tex]right arrow 0$, we get:
[tex]$\frac{mg}{\sin\theta}\frac{d\theta_2}{dx} -mg -kx + mg\theta\frac{d\theta_1}{dx} = 0$[/tex]
Tension is a term that can be used in various contexts, but generally refers to a state of strain or stress resulting from opposing forces or conflicting circumstances. It can manifest in different ways, such as physical tension in the muscles, emotional tension in interpersonal relationships, or societal tension resulting from political or cultural divisions.
In physics, tension refers to the force transmitted through a string, rope, cable, or other flexible connector that is pulled taut from opposite ends. This tension can be used to transmit forces or to support objects, such as in bridges, cranes, or elevators. In a psychological or emotional sense, tension can refer to a state of unease or anxiety resulting from unresolved conflicts or unmet needs.
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what is biodiversity
Answer:
Biodiversity is the variety and variability of life on Earth. Biodiversity is typically a measure of variation at the genetic, species, and ecosystem level. Terrestrial biodiversity is usually greater near the equator, which is the result of the warm climate and high primary productivity.
Explanation:
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in which of the following is the molecules of water moving fatest A. stream. B. ice. C. ice water mixture. d. water.
Answer:
steam
Explanation:
particles move faster in a gas than in a liquid or solid
Explain in detail how clouds form.
Answer:
Clouds are formed when moist air rises upward . As the air rises , it becomes colder. Eventually the air can't hold all of the water vapour in it, and some of water vapour condenses to form tiny water droplets... Clouds form at wide range of altitudes , from near the ground to very high in the atmosphere.
A vehicle of mass 3200kg moving with a velocity of 10m/s increases it's velocity to 20m/s in 5 sec. calculate the magnitude of the force exerted on the engine
Answer:
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Answer:
Please find the attached file
Explanation:
20.Two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined
Answer:
A
Explanation:
Given that two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined
The formula for kinetic energy is :
K.E = 1/2mv^2
A 2-kg ball moving at 4m/s will have kinetic energy of 1/2 × 2 × 4^2
K.E = 16J
and a 4-kg ball moving at 2m/s will have kinetic energy of 1/2 × 4 × 2^2
K.E = 2 × 4
K.E = 8J
which one has greater kinetic energy? Definitely it is a 2 kg ball moving at 4 m/s. Since 16J is greater than 8J. The correct answer is A.
The energy which we obtained from the moving particle is called kinetic energy. According to the conservation of energy, the energy can neither be created nor be destroyed.
Hence, the formula used in the question is:- [tex]K.E =\frac{1}{2} mv^{2}[/tex] .
A 2-kg ball moving at 4m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 2*4^{2} = 16J[/tex]Therefore, the kinetic energy of the ball moving the 2kg is 16J.
A 4-kg ball moving at 2m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 4*2^{2} = 8J[/tex]
Hence the Kinetic energy of the ball moving the 4 kg is 8J.
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pls help i’ll give brainliest if you give a correct answer!!
Answer: the last one
Explanation:
Answer:
C
Explanation:
if the charge of the force is doubled would the force double
Answer: The electrostatic force between two point charge particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. So, if you double the individual charges while keeping the same distance, the net electrostatic force will be four times the previous value.
Explanation:
Since, we know
F = (k×q1×q2)/r²
When the charges are doubled, we have :
F' = (k × 2q1 × 2q2)/r²
F' = 4 (k×q1×q2)/r²
Thus,
F' = 4F
Hence, the force becomes 4 times its initial value.
Can u please help mee?
1 Calculate the momentum in each of these cases.
a A car of mass 1000 kg traveling at 31.6 m/s
b A train with a mass of 120 000 kg and a velocity of 40 m/s (about 90 mph)
Answer:
a
Explanation:
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What does attributed mean
Answer:
attribute is defined as a quality or characteristic of a person, place, or thing
Explanation:
Answer:
regard something as being caused by (someone or something).
Explanation:
Online dictionary
b) Include this table on your slide:
Mass of Object 1 Mass of Object 2 (kg)
(kg)
Gravitational Force
(N)
1 x 1020
1 x 1020
1 x 1040 G
3 x 1020
1 x 1020
3 x 100 G
2 x 1020
2 x 1020
4 x 10"G
20
3 x 1020
4 x 10
12 x 10 G
c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force
between them. Be sure to:
Describe the scenario.
Explain the table headings to introduce the data in the table.
Use the data to show a trend.
Summarize the information from the table in a sentence, showing the relationship between
the masses of objects and the gravitational force between the objects.
d) Place text in the notes section below the slide explaining the information presented on it. This text
will act as the script for your presentation.
e) Remember to save your work.
Answer:
hryrbrhrururjrn djbrr he dvhd the ry rhr
urur
Explanation:
jrurhr dye dhrb the yd rhd due sh dgd eye rh
Answer:
I dont know i was looking for the same answer for my project
Explanation:
An object completes 2500 cycles in
26s. The radius of motion is 3.5m.
Answer:
That statement is correct.
Explanation:
An object that completes 2500 cycles in 26 seconds has a radius of motion of 3.5.
Anyone knows this ???
Answer:
JUST A MINUTE KAPENG MAINIT
Where do you weight more on top of Mt. Everest (Highest Mt. in the world) or at the beach
They are the same
Mt Everest
The beach
Not enough information
You weigh slightly more at the beach than on top of a mountain, because at the beach, you're closer to the center of the Earth.
A 98N weight is lifted to a height of 4m. What is its potential energy at this position?
Answer:
i need points
Explanation:
What is linear expansivity?will receive brainliest if answered correctly
Answer:
Linear expansivity is the fractional increase in length of a specimen of a solid, per unit rise in temperature. If a specimen increases in length from l1 to l2 when its temperature is raised θ°, then the expansivity (α) is given by: l2 = l1(1 + αθ). This relationship assumes that α is independent of temperature. This is not, in general, the case and a more accurate relationship is: l2 = l1(1 + aθ + bθ2 + cθ3…), where a, b, and c are constants.
l2 = l1(1 + αθ).
l2 = l1(1 + aθ + bθ2 + cθ3…),
Answer:
Linear expansivity is the fractional increase in length of a specimen of a solid, per unit rise in temperature. ... Superficial expansivity is the fractional increase in area of a solid surface caused by unit rise in temperature, i.e. A2 = A1(1 + βθ), where β is the superficial expansivity.
I hope it's helpful!
A 615 watt refrigerator runs 24 hours/day. How much energy is used per month (30 days)?
Answer:
14.76
Explanation:
If you put it in the calculator it would show
10 POINTS and WILL MARK AS A Brainlest PLEASE
Answer:
240 cm/sec
Explanation:
The speed line is closest to 240sec at 60cm.
Hope this helps! :)
Can anyone help in physics plz
Answer:
The answer is B. 8000.
Explanation:
She gained 10,000J , but when she reached the bottom she was at 2,000J. All you need to do is 10,000-2,000 and you get 8,000. So the answer is 8,000J.
A crate is sliding on the floor. If there is a total force acting on the crate in the same direction as it is sliding, the crate would
A) slow down
B) speed up
C) remains the same speed
D) slow down, change direction and then speed up going the other way,
E) remains the same speed but changes direction
But we do not know whether the force is pushing or pulling (the same direction (both forces are parallel) but: .........[ ]<-F-- or .......[ ]--F-->). I suppose the correct answer is B
ordinary kriging method assume that
ears
Explanation:
I want to eat your ears
Un automóvil viajó 186.4 Km a una velocidad constante de 57 Km/h. ¿Cuánto tiempo se necesitó para el viaje?
Answer:
t = 1.177 10⁴ s
Explanation:
For this exercise we use the uniform motion relationships
v = x / t
t = x / v
let's reduce the magnitudes to the SI system
v = 57 km / h (1000m / 1km) (1h / 3600s) = 15.833 m / s
x = 186.4 km (1000m / 1 km) = 186.4 10³ m
let's calculate
t = 186.4 10³ / 15.833
t = 11.77 10³ s
t = 1.177 10⁴ s
Which element has the same number of valence electrons as rubidium.
A. lithium
B. argon
C. calcium
D.iron
Will the gravitational force between 2 objects increase or decrease if the distance between them decreases.
Answer:
increase
Explanation:
The formula for the gravitation for of attraction is:
[tex]F = \dfrac{Gm_1m_2}{r^2}[/tex]
It implies that the force of attraction is inversely proportional to the square of the distance. i.e.
[tex]F \infty \dfrac{1}{r^2}[/tex]
where;
G = gravitational constant
m = mass; &
r = distance between the two objects.
Now let's assume that the distance between is reduced from 1 to half;
Then:
[tex]F \infty \dfrac{1}{\Big (\dfrac{r}{2} \Big)^2}[/tex]
[tex]F \infty \dfrac{4}{r^2}[/tex]
Thus, the new gravitational force of attraction increased by a factor of 4.
lab number 14: sudden stops hurt newtons first law
Answer:
you want to know newtons first law here.
Explanation:
An object that is at rest stays at rest or stays in motion.
Which model would best demonstrate the role of gravity in the Solar System? O A. a large ball with 8 smaller balls arranged around it because gravity is between the sun and 8 planets O B. a magnet drawn close to another magnet because planets are dbvn towards the magnetism of the Sun O c. a football field with a pea at one end and a grain of sand at the other because the scale of gravity is large O D. a ball attached to a string moving in a circular motion because the string keeps the ball in place like gravity
A student swings a 5.0 Kg pail of water in a vertical circle of radius 1.3m. What is the minimum speed at the top of the circle if the water is not to spill from pail.
Answer:
v = 3.57 m / s
Explanation:
Let's use Newton's second law in the upper part of the circle, with the minimum speed so that the water does not rest on the circle, that is, the normal is zero
W = m a
acceleration is centripetal
a = v² / r
let's substitute
mg = m v² / r
v = [tex]\sqrt{r g }[/tex]
let's calculate
v = [tex]\sqrt{1.3 \ 9.8}[/tex]ra 1.3 9.8
v = 3.57 m / s
A rubber stopper, which has a mass of m = 14.5 grams, is tied to the end of a string which is threaded through a glass tube. You then spin the rubber stopper about your head in a horizontal circle as shown to the right. The stopper sags = 18.0o below the horizontal as shown and the distance from the top of the tube to the stopper is L = 1.25 m.
b. What will be the magnitude of the centripetal force acting on the stopper?
c. What is the speed of the stopper?
d. What is the tension in the string?
e. How much Mass M is hanging on the end of the string?
Answer:
T cos18=mv^2/1.25cos18
T sin18=mg
solve for T
centripetal force-=Tcos18
A car drives 40 km due east and then 50 km due west .what is the cars overall displacement?
Answer:10 km westExplanation:he go 40 east then 50 west 50-40 is 10 so he displaces 10 km and as west is more than east in terms of km so we will say that it's 10 km west pls mark as brainliest thanks
The car's overall displacement if, A car drives 40 km due east and then 50 km due west is 10 km in the west.
What is displacement?Displacement is defined as the overall alteration of an object's location and motion direction. Displacement is recognized as a vector quantity since it takes into account both the direction of the motion and the magnitude of the changing position. Displacement may be zero, positive, or negative.
Given:
A car drives 40 km due east and then 50 km due west,
Consider the west direction as positive and the east direction as negative, then,
The displacement = Displacement in the west + displacement in the east,
The displacement = 50 - 40
The displacement = 10
As the sign is positive, then the direction would be west.
Thus, the displacement of the car is +10 km.
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If there is zero total force acting on the refrigerator, the refrigerator would
A) slow down
B) speed up
C) remains the same speed
D) slow down, change direction and then speed up going the other way
E) remains at the same speed, but changes direction
Answer:
c
Explanation:
this is because newton's first law of motion states that every object will continue in its state of rest or uniform motion in a straight line unless a resultant force acts on it
so if the resultant force on the refrigerator is 0N, but it was initially moving, it will continue in its motion in a straight line.
it will not change direction since it will continue in its uniform motion.
hope this helps
please mark it brainlistt
Match each word to it's correct meaning.
1. conduction
A.resistance to motion between two objects in contact
2. convection
B.something that will flow
3. fluid
C.measure of how much heat energy a substance has
4. friction
D.transmission of heat by the transferring of energy from one particle to another
5. temperature
E.transfer of heat by the motion of the particles of a gas or fluid
PLS PLS PLS NEED HELP ONLY HAVE A LITTLE BIT TILL I HAVE TO SHOW ME PARENTS ME GRADES AND I CANT HAVE ANYTHING OVERDUE
Answer:
you know the answer i answered it before on a question 0-0
Explanation: