Pls, help with this! I'm having trouble. will give points!!

Point masses m1 m2 are placed at opposite ends

tiny-mole [99]

(a) $x = \frac{m_2L}{m_1+m_2}$

<u>Explanation:</u>

Given:

Moment of Inertia of m₁ about the axis, I₁ = m₁x²

Moment of Inertia of m₂ about the axis. I₂ = m₂ (L - x)²

Kinetic energy is rotational.

Total kinetic energy is $E = \frac{1}{2} I_1w_0^2 + \frac{1}{2}I_2w_0^2 = \frac{1}{2} w_0^2(m_1x^2 + m_2(L-x)^2)$

Work done is change in kinetic energy.

To minimize E, differentiate wrt x and equate to zero.

$m_1x - m_2(L-x) = 0\\\\x = \frac{m_2L}{m_1+m_2}$

Alternatively, work done is minimum when the axis passes through the center of mass.

Center of mass is at $\frac{m_2L}{m_1 + m_2}$

7 0

3 years ago

Think Critically Suppose your teacher gave you a slide of an unknown cell. How would you tell whether the cell was from an anima

topjm [15]

Answer:

You will be able to tell whether the unknown cell is from an animal or from a plant through the knowledge of difference between plants and animal cells.

Explanation:

A cell can be defined as the simplest bit of living matter which exhibits a variety of shapes and sizes and that can exist independently.

When a slide of an unknown cell is studied under a microscope, different cell structures would be observed which would be used to conclude if the cell on the slide is a plant or animal cell.

The following features are observed in a plant cell:

--> cellulose cell wall is present

--> Chloroplast is present

--> A large central vacuole is present

--> Centriole is absent

The following features are observed in animal cell:

--> Cellulose cell wall is absent

--> Chloroplast is absent

--> Small vacuoles is present

--> Centriole is present

The difference between a plant and an animal cell can be seen from the features above and a clear knowledge of this will help the student tell whether the unknown cell is from an animal or from a plant.

4 0

3 years ago

Why do organisms need nitrogen

Yuri [45]

Plants and animals need nitrogen in order to make proteins. Proteins are essential compounds for healthy growth and fully functioning organisms.

4 0

3 years ago

Describe the relationship between the pressure and volume of a gas when temperature and mass are constant

mr_godi [17]

Answer:

The product of Pressure and Volume is a constant.

Explanation:

We know the Ideal gas equation,

PV = nRT,

where,

P - Pressure of the gas

V - Volume of the gas

n - No. of moles of the gas taken

R - Universal Gas Constant.

T - Temperature of the gas.

We know that , n = $\frac{wt}{Mwt}$

where, wt - Mass of gass ; Mwt - Molecular weight of the gas.

We are given the weight of the gas remains constant (wt is a constant)

Therefore as n = $\frac{wt}{Mwt}$ ,(where both wt and Mwt are constants)

n is a constant in this process.

Universal gas constant is a constant

Given temperature is a constant.

Therefore,

As, PV = nRT, (where n,R,T are constants),

PV is a constant.

Therefore we can say,

PV = k, for some constant k.

If we plot a graph for P vs V , we get a Rectangular Hyperbola( One of the general forms of a Rectangular Hyperbola is xy = c)

5 0

4 years ago

Resonance frequency

tigry1 [53]

Answer:

resonance frequency is the frequency when capacitive reactance and inductive reactance become equal and opposite to each other and all impedence is given by resistance.

Explanation:

f=1/2 $\pi$ $\sqrt{LC}$

4 0

3 years ago