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A satellite in outer space is at an initial rotation speed of $ω = 4.0 r a d / s$ at $t = 0$ . As it deploys its solar panels, it changes its rotational inertia as shown in the graph below. Ignore all external forces for the purpose of this problem. Graph of the satellite's moment of inertia is given. The correct plot of magnitude of angular momentum and angular velocity as functions of time is

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a

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b

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c

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d

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answer is B, D.

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Detailed Solution

${\vec{F}}_{n e t} = 0 ∴ \vec{L} = c o n s t L = I ω ∴ w = \frac{L}{I}$

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A satellite in outer space is at an initial rotation speed of ω=4.0 rad/s at t=0. As it deploys its solar panels, it changes its rotational inertia as shown in the graph below. Ignore all external forces for the purpose of this problem. Graph of the satellite's moment of inertia is given. The correct plot of magnitude of angular momentum and angular velocity as functions of time is