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Georgia [21]
3 years ago
11

A scientist makes a device to catch baseballs. A long bar of total mass 2.2kg and length 1.2m is fixed at its center. It catches

a ball of mass 0.15kg moving at v=16m/s in a box at one of its ends. Ignore the mass of the catcher box for this problem. What is the angular velocity of the system after the ball is caught?
Physics
1 answer:
Valentin [98]3 years ago
8 0

Answer:

ωf = 4.53 rad/s

Explanation:

By conservation of the angular momentum:

Ib*ωb = (Ib + Ic)*ωf

Where

Ib is the inertia of the ball

ωb is the initial angular velocity of the ball

Ic is the inertia of the catcher

ωf is the final angular velocity of the system

We need to calculate first Ib, Ic, ωb:

Ib = mb*(L/2)^2=0.15*(1.2/2)^2=0.054 kg.m^2

Ic = mc/12*L^2=2.2/12*1.2^2=0.264 kg.m^2

ωb = Vb / (L/2) = 16 / (1.2/2) = 26.67 m/s

Now, ωf will be:

\omega f = \frac{Ib*\omega b}{Ib + Ic}  = 4.53rad/s

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A disk of radius 10 cm speeds up from rest. it turns 60 radians reaching an angular velocity of 15 rad/s. what was the angular a
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Explanation:

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*side note: you can replace regular, linear variables in kinematic equations with angular variables (must entirely replace equations with angular variables)*

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