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
Pachacha [2.7K]
3 years ago
12

an 8 N weight is placed at one end of a meterstick. a 10N weight is placed at the other end. where should the fulcrum be placed

to have the meterstick balanced?
Engineering
1 answer:
cluponka [151]3 years ago
3 0
<h3><u>The fulcrum should be placed 0.44 from the 12 N weight or 0.56 m from the 8 N weight.</u></h3>

Explanation:

<h2>Given:</h2>

w_1 = 8 N

w_2 = 10 N

Since the meter stick has a length of 1 m, and d_1 \:+\:d_2\:=\:1\:m

Let d_1 = x

Let d_2 = 1 - x

<h2>Question:</h2>

Where should the fulcrum be placed to have the meterstick balanced?

<h2>Equation:</h2>

For the system to be balanced, the product of the weight and distance of the objects on opposite sides should be equal. This is is shown by the equation:

w_1 d_1 = w_2 d_2

where: w - weight

d - distance from the fulcrum

<h2>Solution:</h2>

Substituting the value of w_1, \:w_2, \:d_1  \: and\: d_2 in the formula,

(8 N)(x) = (10 N)(1 m - x)

x(8 N) = (10 N)m - x(10 N)

x(8 N) + x(10 N) = (10 N) m

x(18 N) = 10 N

x = \frac{(10 \:N)m}{18 \:N}

x = 0.56

<h3>Solve for d_1 </h3>

d_1 = x

d_1 = 0.56 m

<h3>Solve for d_2 </h3>

d_2 = 1 m - x

d_2 = 1 m - 0.56 m

d_2 = 0.44 m

<h2>Final Answer:</h2><h3><u>The fulcrum should be placed 0.44 from the 12 N weight or 0.56 m from the 8 N weight.</u></h3>
You might be interested in
Storm sewer backup causes your basement to flood at the steady rate of 1 in. of depth per hour. The basement floor area is 2600
Wittaler [7]

Answer:

attached below

Explanation:

4 0
3 years ago
Technician A says that the distributor cap provides a connection point between the rotor and each individual cylinder plug wire.
Vera_Pavlovna [14]

Answer:

Neither a or b.

Explanation:

The distributor cap is cover which protects internal parts and holds contact between internal rotor and spark plug wires. When inspecting distributor caps there should be some carbon tracking which looks like bright white grease trails.

8 0
3 years ago
Estimate the quantity of soil to be excavated from the borrow pit​
Serggg [28]

Answer

1056

Explanation:

for example

A soil is to be excavated from a borrow pit which has a density of 1.75g/cc and water content of 12%. The G is 2.7 the soil is compacted to that water content of 18% and dry density of 1.65g/cc. for 1000 m3 of soil used in fill estimate

Quantity of soil to be excavated from pit in m3

6 0
3 years ago
Identify the unit of the electrical parameters represented by L and C and prove that the resonant frequency (fr)=1÷2π√LC
Gre4nikov [31]

Answer:

L = Henry

C = Farad

Explanation:

The electrical parameter represented as L is the inductance whose unit is Henry(H).

The electrical parameter represented as C is the inductance whose unit is Farad

Resonance frequency occurs when the applied period force is equal to the natural frequency of the system upon which the force acts :

To obtain :

At resonance, Inductive reactance = capacitive reactance

Equate the inductive and capacitive reactance

Inductive reactance(Xl) = 2πFL

Capacitive Reactance(Xc) = 1/2πFC

Inductive reactance(Xl) = Capacitive Reactance(Xc)

2πFL = 1/2πFC

Multiplying both sides by F

F * 2πFL = F * 1/2πFC

2πF²L = 1/2πC

Isolating F²

F² = 1/2πC2πL

F² = 1/4π²LC

Take the square root of both sides to make F the subject

F = √1 / √4π²LC

F = 1 /2π√LC

Hence, the proof.

8 0
3 years ago
4. Use voltage divider concepts to find the voltages indicated in the following circuits. You may want to use some of your resul
AlekseyPX

Hello, because there is not a circuit I'll explain the voltage divider and make an exercise, this way you can solve the problem using the method described here.

Answer with explanation:

A voltage divider uses the voltage distribution among components to find a voltage in a specific element of the circuit. If we have a source V1 connected to impedances Z1 and Z2 in series, we can use a voltage divider to find the voltage across Z1 or Z2 base on their value and the input voltage.

VZ1 = V1*Z1/(Z1+Z2)

VZ2 = V1*Z2/(Z1+Z2)

In the image, to find the voltage Vo across R2 we apply the following equation: Vo = (V1*R2)/(R1+R2).

To solve the exercise in the other image, we need to apply a voltage divider twice:

In-circuit 1 we are asked to find the voltage VAB that falls on R2 and R3 (the same voltage for both resistances because are in parallel), to do so we use a voltage divider using V1, R1 and RT where RT is the equivalent resistance RT = R2//R3 + R4, therefore, for circuit two VAC = (V1*R1)/(R1+RT). After finding VAC we apply voltage divider again to find VAB, see circuit 3, to do so we apply VAB = (VAC*R2//R3)/(R2//R3 + R4) = (VAC*R2//R3)/(RT)

4 0
3 years ago
Other questions:
  • Write a function that multiplies two decimal string representations of non-negative integers. The function takes two parameters
    9·1 answer
  • A soil sample has a moist unit weight of 117 pcf, a moisture content of 17 percent, and soil particles with a specific gravity o
    11·1 answer
  • A medium-sized jet has a 3.8-m-diameter fuselage and a loaded mass of 85,000 kg. The drag on an airplane is primarily due to the
    14·1 answer
  • Liquid methyl ethyl ketone (MEK) is introduced into a vessel containing air. The system temperature is increased to 55°C, and th
    12·1 answer
  • ) Assuming that the net environmental impact and all other considerations are equal to produce, package, and distribute both pro
    13·1 answer
  • A 1998 Lexus LS400 has a drag coefficient of 0.28 and a reference area of 2.4 m2. Determine the horsepower required to overcome
    8·1 answer
  • explain the four functional blocks on an oscilloscope and describe the major controls within each block
    6·1 answer
  • (30 pts) A simply supported beam with a span L=20 ft and cross sectional dimensions: b=14 in; h=20 in; d=17.5 in. is reinforced
    13·1 answer
  • Explain three examples of workshop
    11·2 answers
  • A programmable integrated circuit (PIC) is another name for a microcontroller.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!