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Consider a space telescope sketched in Figure 4a. Suppose the space telescope is constructed out of cylindrical metal tube of uniform density. The mass of the tube is MT with an inner diameter Di and outer diameter Do. A circular disc antenna with diameter Da and mass Ma is attached at one end. The axis of symmetry of the telescope and the rotational axis of the disc antenna are co-linear. The mass of the rest of the internal structures and communication electronics are negligibly small. Calculate the rotational inertia of the space telescope about its symmetric Z axis. 4a.

Consider a space telescope sketched in Figure 4a. Suppose the space telescope is constructed out of cylindrical metal tube of uniform density. The mass of the tube is MT with an inner diameter Di and outer diameter Do. A circular disc antenna with diameter Da and mass Ma is attached at one end. The axis of symmetry of the telescope and the rotational axis of the disc antenna are co-linear. The mass of the rest of the internal structures and communication electronics are negligibly small. Calculate the rotational inertia of the space telescope about its symmetric Z axis. 4a.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Consider a space telescope sketched in Figure 4a. Suppose the space telescope is constructed out of cylindrical metal tube of uniform density. The mass of the tube is MT with an inner diameter Dj and outer diameter Do. A circular disc antenna with diameter Da and mass Ma is attached at one end. 4a. The axis of symmetry of the telescope and the rotational axis of the disc antenna are co-linear. The mass of the rest of the internal structures and communication electronics are negligibly small. Calculate the rotational inertia of the space telescope about its symmetric Z axis. Suppose the telcacope is launched from the cargo bay of the space shuttle. The space shuttle first adjust it orientation so that the axis of the telescope is pointing at a distant star so that it can collect signal from the star. The telescope is set into a spinning motion by two jets installed symmetrically on the circumference of the telescope (See figure 4b) before it is released. The torque generated by each jet is graphed in figure 4c. Both jets are fired simultaneously. What is the purpose of setting the space telescope into rotational motion? Calculate the final rotational velocity w of the space telescope at the end of the rocket burnt. What is the angular momentum L (magnitude and direction) of the telescope about its rotational Z axis if the rotation is clockwise direction? What will be the angular momentum L two days later after it was launch? Explain. 4b. 4c. 4d. Feg 4a Tap viaw Fig 4b
Transcribed Image Text:Consider a space telescope sketched in Figure 4a. Suppose the space telescope is constructed out of cylindrical metal tube of uniform density. The mass of the tube is MT with an inner diameter Dj and outer diameter Do. A circular disc antenna with diameter Da and mass Ma is attached at one end. 4a. The axis of symmetry of the telescope and the rotational axis of the disc antenna are co-linear. The mass of the rest of the internal structures and communication electronics are negligibly small. Calculate the rotational inertia of the space telescope about its symmetric Z axis. Suppose the telcacope is launched from the cargo bay of the space shuttle. The space shuttle first adjust it orientation so that the axis of the telescope is pointing at a distant star so that it can collect signal from the star. The telescope is set into a spinning motion by two jets installed symmetrically on the circumference of the telescope (See figure 4b) before it is released. The torque generated by each jet is graphed in figure 4c. Both jets are fired simultaneously. What is the purpose of setting the space telescope into rotational motion? Calculate the final rotational velocity w of the space telescope at the end of the rocket burnt. What is the angular momentum L (magnitude and direction) of the telescope about its rotational Z axis if the rotation is clockwise direction? What will be the angular momentum L two days later after it was launch? Explain. 4b. 4c. 4d. Feg 4a Tap viaw Fig 4b
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