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
C. Newtons third law of motion
Because eventually, the frictional forces will slow you to a halt. Newton's Third Law of Motion For every action there is an equal and opposite reaction. When they push off against the ice, or "stroke" with their skates, they are applying a force down and back against the ground.
Hope this helps!
Answer:
F = −10093.41 N
Explanation:
Given that,
Mass of a baseball, m = 143 g = 0.143 kg
Initial speed of the baseball, u = +38.8 m/s
The hitter's bat is in contact with the ball for 1.20 ms and then travels straight back to the pitcher's mound at a speed of 45.9 m/s, v = -45.9 m/s
We need to find the average force exerted on the ball by the bat. So, Force is given by :
a is acceleration
So, the average force exerted on the ball by the bat has a magnitude of 10093.41 N.
<span>C.heat will flow from both the coolant and the air
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on a given inclined we know that net force is given by
here we know that
so here we have
so here acceleration depends directly on angle of inclination
now we also know that if height of the inclined is H and its length is L
then we can write
so the acceleration is given as
so acceleration also depends directly on height of the inclined plane