The moment of inertia of a point mass about an arbitrary point is given by:
I = mr²
I is the moment of inertia
m is the mass
r is the distance between the arbitrary point and the point mass
The center of mass of the system is located halfway between the 2 inner masses, therefore two masses lie ℓ/2 away from the center and the outer two masses lie 3ℓ/2 away from the center.
The total moment of inertia of the system is the sum of the moments of each mass, i.e.
I = ∑mr²
The moment of inertia of each of the two inner masses is
I = m(ℓ/2)² = mℓ²/4
The moment of inertia of each of the two outer masses is
I = m(3ℓ/2)² = 9mℓ²/4
The total moment of inertia of the system is
I = 2[mℓ²/4]+2[9mℓ²/4]
I = mℓ²/2+9mℓ²/2
I = 10mℓ²/2
I = 5mℓ²
The large leaves help it survive as they serve as the<u> organ for photosynthesis.</u>
Explanation:
- Photosynthesis, the process by which green plants and certain other organisms transform light energy into chemical energy.
- During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds
- Leaves provide food and air to help a plant stay healthy and grow. Through photosynthesis, leaves turn light energy into food.
- Through pores, or stomata, leaves breathe in carbon dioxide and breathe out oxygen. Leaves also release excess water.
- Most leaves are broad and so have a large surface area allowing them to absorb more light
- A thin shape means a short distance for carbon dioxide to diffuse in and oxygen to diffuse out easily.
- The exchange of oxygen and carbon dioxide in the leaf occurs through pores called stomata.
- Normally stomata open when the light strikes the leaf in the morning and close during the night.
Answer:
Stars create new elements in their cores by squeezing elements together in a process called nuclear fusion.
Explanation:
Answer:
In February 1784, just after the close of the Revolutionary War, the General Assembly of Georgia earmarked 40,000 acres of land to endow "a college or seminary of learning." The following year, Abraham Baldwin, a lawyer and minister educated at Yale University in New Haven, Connecticut, who had settled in Georgia
Explanation:
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When a car hits you in a rear end collision, the car initially has a momentum going in one direction. This causes your car to move in the same direction that car was moving even if you were at rest. So, for conservation of momentum, you initially have momentum going in the east direction for example, after the collision, you will have a change in momentum which causes you to have a velocity in the west direction. This is because you are initially at rest and then there is a sudden change in velocity so when you speed up, that momentum causes you to move backwards. If you don't have a properly adjusted neckrest you could may experience whiplash.