Answer:
0.087 m
Explanation:
Length of the rod, L = 1.5 m
Let the mass of the rod is m and d is the distance between the pivot point and the centre of mass.
time period, T = 3 s
the formula for the time period of the pendulum is given by
.... (1)
where, I is the moment of inertia of the rod about the pivot point and g is the acceleration due to gravity.
Moment of inertia of the rod about the centre of mass, Ic = mL²/12
By using the parallel axis theorem, the moment of inertia of the rod about the pivot is
I = Ic + md²
![I = \frac{mL^{2}}{12}+ md^{2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7BmL%5E%7B2%7D%7D%7B12%7D%2B%20md%5E%7B2%7D)
Substituting the values in equation (1)
![3 = 2 \pi \sqrt{\frac{\frac{mL^{2}}{12}+ md^{2}}{mgd}}](https://tex.z-dn.net/?f=3%20%3D%202%20%5Cpi%20%5Csqrt%7B%5Cfrac%7B%5Cfrac%7BmL%5E%7B2%7D%7D%7B12%7D%2B%20md%5E%7B2%7D%7D%7Bmgd%7D%7D)
![9=4\pi^{2}\times \left ( \frac{\frac{L^{2}}{12}+d^{2}}{gd} \right )](https://tex.z-dn.net/?f=9%3D4%5Cpi%5E%7B2%7D%5Ctimes%20%5Cleft%20%28%20%5Cfrac%7B%5Cfrac%7BL%5E%7B2%7D%7D%7B12%7D%2Bd%5E%7B2%7D%7D%7Bgd%7D%20%5Cright%20%29)
12d² -26.84 d + 2.25 = 0
![d=\frac{26.84\pm \sqrt{26.84^{2}-4\times 12\times 2.25}}{24}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B26.84%5Cpm%20%5Csqrt%7B26.84%5E%7B2%7D-4%5Ctimes%2012%5Ctimes%202.25%7D%7D%7B24%7D)
![d=\frac{26.84\pm 24.75}{24}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B26.84%5Cpm%2024.75%7D%7B24%7D)
d = 2.15 m , 0.087 m
d cannot be more than L/2, so the value of d is 0.087 m.
Thus, the distance between the pivot and the centre of mass of the rod is 0.087 m.
Answer:
I. a, c, f and h
II. e
III. b, d, g and i
IV. i
Explanation:
I. Chemical symbols are simple abbreviations used to represent various elements or compound. They consist entire of alphabet.
For the diagram given above, the labelled parts which represent chemical symbol are: a, c, f and h
II. Coefficients are numbers written before the chemical symbol of elements or compound.
For the diagram given above, the labelled part which represent Coefficient is: e
III. Number of atoms of element present in a compound is simply obtained by taking note of the numbers written as subscript in the chemical formula of the compound.
For the diagram given above, the labelled part which represent the number of atoms of the element are: b, d, g and i
IV. When no number is written as subscript in the formula of the element in the compound, it means the element has just 1 atom in the compound.
For the diagram given above, the labelled part which indicates that only 1 atom of the element is present is: i
Answer:it is known as (Ohm's law)
Explanation:
It doesn't because when u threw it the first time, u notice that the ball eventually came to a stop because of the force that was acting upon it. Although when u throw it harder it will start out faster than the first time u threw it because u put more kinetic energy onto the ball. But the same thing happens with this ball that happened to the second ball, they both have a type of force acting upon them.
3.11 is the answer I think