Answer:
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Explanation:
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Explanation:
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From the case we know that:
- The moment of inertia Icm of the uniform flat disk witout the point mass is Icm = MR².
- The moment of inerta with respect to point P on the disk without the point mass is Ip = 3MR².
- The total moment of inertia (of the disk with the point mass with respect to point P) is I total = 5MR².
Please refer to the image below.
We know from the case, that:
m = 2M
r = R
m2 = 1/2M
distance between the center of mass to point P = p = R
Distance of the point mass to point P = d = 2R
We know that the moment of inertia for an uniform flat disk is 1/2mr². Then the moment of inertia for the uniform flat disk is:
Icm = 1/2mr²
Icm = 1/2(2M)(R²)
Icm = MR² ... (i)
Next, we will find the moment of inertia of the disk with respect to point P. We know that point P is positioned at the arc of the disk. Hence:
Ip = Icm + mp²
Ip = MR² + (2M)R²
Ip = 3MR² ... (ii)
Then, the total moment of inertia of the disk with the point mass is:
I total = Ip + I mass
I total = 3MR² + (1/2M)(2R)²
I total = 3MR² + 2MR²
I total = 5MR² ... (iii)
Learn more about Uniform Flat Disk here: brainly.com/question/14595971
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Answer:
The Magnitude of electric field is in the upward direction as shown directly towards the charge .
Explanation:
Given:
- side of a square,
- charge on one corner of the square,
- charge on the remaining 3 corners of the square,
<u>Distance of the center from each corners</u>
∴Distance of center from corners,
Now, electric field due to charges is given as:
<u>For charge we have the field lines emerging out of the charge since it is positively charged:</u>
<u>Force by each of the charges at the remaining corners:</u>
<u> Now, net electric field in the vertical direction:</u>
<u>Now, net electric field in the horizontal direction:</u>
So the Magnitude of electric field is in the upward direction as shown directly towards the charge .
Answer:
For real gas the volume of a given mass of gas will increase with increase in temperature.
Explanation:
With the piston head locked in place and place above the fire,the volume of the gas will increase,because the volume of a given mass of gas increases with increase temperature.