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F4
30. CHALLENGE A disk with a moment of inertia
of 0.26 kg ma is attached to a smaller disk
mounted on the same axle. The smaller disk has
a diameter of 0.180 m and a mass of 2.5 kg.
A strap is wrapped around the smaller disk,
as shown in Figure 14. Find the force needed
to give this system an angular acceleration of
2.57 rad/s?

Relax

Respuesta :

hubertarek

Answer:

7.42 N

Explanation:

We know that:

τ = Iα = rF

Variables:

I = 0.26 kgm^2

α = 2.57 rad/s^2

r = 0.18m/2 = 0.09m

Solve:

τ = Iα = rF

τ = (0.26kgm^2) (2.57rad/s^2) = (0.09m) * F

F = 7.42 N

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