The space capsule has a mass of 1200 kg and a moment of inertia IG = 900 kg # m2 about

Chapter 19, Problem C19-6

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QUESTION:

The space capsule has a mass of 1200 kg and a moment of inertia IG = 900 kg # m2 about an axis passing through G and directed perpendicular to the page. If it is traveling forward with a speed vG = 800 m>s and executes a turn by means of two jets, which provide a constant thrust of 400 N for 0.3 s, determine the capsules angular velocity just after the jets are turned off.

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QUESTION:

The space capsule has a mass of 1200 kg and a moment of inertia IG = 900 kg # m2 about an axis passing through G and directed perpendicular to the page. If it is traveling forward with a speed vG = 800 m>s and executes a turn by means of two jets, which provide a constant thrust of 400 N for 0.3 s, determine the capsules angular velocity just after the jets are turned off.

ANSWER:

Problem C19.6

The space capsule has a mass of 1200 kg and a moment of inertia  about an axis passing through G and directed perpendicular to the page. If it is traveling forward with a speed  and executes a turn by means of two jets, which provide a constant thrust of 400 N for 0.3 s, determine the capsules angular velocity just after the jets are turned off.

                                                        Step by Step Solution

Step 1 of 3

The mass of space capsule is.

The moment of inertia of space capsule is.  

The travelling speed of capsule is.

The force applied to the capsule is.

The angle made by force applied is.

The radius of gyration is .  

The time for which force is applied is.

The initial angular momentum of the space capsule can be given as,

Initially, the space capsule is at rest therefore.

Therefore,

…… (1)

The final angular momentum of the space capsule can be given as,

For .

Therefore,

…… (2)

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