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Katyanochek1 [597]
3 years ago
14

Four equal masses M are spaced at equal intervals (each of length d) along a horizontal, straight rod whose mass can be ignored.

The system is to be rotated about a vertical axis passing through the mass at the left end of the rod and perpendicular to it.
(a) What is the moment of inertia of the system about this axis? (Assume that each mass is a particle, with no finite size.)
(b) What minimum force, applied to the farthest mass, will give the system an angular acceleration?
Physics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

a) 14Md^{2}

Explanation:

a)The inertia of a particle moving in a circular axis is given by,

I=Mr^{2} \\

I = Moment of inertia

M = mass of the particle

r = perpendicular distance from axis of rotation.

And by adding moment of inertia of each particle we can come to the moment of inertia of the system.

I = M(0d)^{2}+Md^{2} +M(2d)^{2}+M(3d)^{2}

 = 14Md^{2}

b) Your question is incomplete but I'll write how to find the minimum force required  to give a system given angular acceleration.

Minimum force is found when applied from the furthest point to the axis of rotation in the system.

, by τ = Fr, whereτ = torque , F = Force ,  = perpendicular distance from axis of rotation.

For minimum force r = 3d

And also τ = Iα where I = Moment of inertia and α = angular acceleration

By combining the two equations you get minimum force as,

F = Iα/r

F' = 14Md^{2}α/3d

  = 14Mαd/3

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Answer:

No

Explanation:

There is no limit to how fast the universe can expand, says physicist Charles Bennett of Johns Hopkins University. Einstein's theory that nothing can travel faster than the speed of light in a vacuum still holds true, because space itself is stretching, and space is nothing.

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Janet was pulling a box that weighed 20N across 5m. How much work did she exert?
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How do the wavelengths of electromagnetic energy absorbed by materials on earth compare?
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Explanation:

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3 years ago
Lemon trees receiving the most water produced the most lemons. What is the independent variable, the dependent variable, and the
Veseljchak [2.6K]
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3 0
2 years ago
A certain moving electron has a kinetic energy of 0.991 × 10−19 J. Calculate the speed necessary for the electron to have this e
alisha [4.7K]

Answer: The speed necessary for the electron to have this energy is 466462 m/s

Explanation:

Kinetic energy is the energy posessed by an object by virtue of its motion.

K.E=\frac{1mv^2}{2}

K.E= kinetic energy = 0.991\times 10^{-19}J

m= mass of an electron = 9.109\times 10^{-31}kg

v= velocity of object = ?

Putting in the values in the equation:

0.991\times 10^{-19}J=\frac{1\times 9.109\times 10^{-31}kg\times v^2}{2}

v=466462m/s

The speed necessary for the electron to have this energy is 466462 m/s

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2 years ago
Read 2 more answers
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