3a. Define angular displacement Δθ, angular velocity ω, and angular acceleration α. 3b. Use these definition to derive an equation that link the final angular velocity or f (A0, 3c. Suppose the structure in question 2c is on board the space station. It is set into rotational motion through the center of mass by a jet of gas installed at the end of the cylinder (see Figure 3a). The time dependent force generated by the gas jet is given in figure 3b. What will be the angular velocity at the end of the gas jet? What will be the angular velocity at t-30s? 3d. Suppose the axis of rotation is shifted to the far end of the sphere (see figure 3c). The rigid structure is set into rotational motion by the same gas jet mounted at the end of the cylinder. What will be the angular velocity or at the termination of the gas jet? t(s) jet (Lto nc (3a)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 63PQ
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3a. Define angular displacement Δθ, angular velocity ω, and angular acceleration α.
3b. Use these definition to derive an equation that link the final angular velocity or f (A0,
3c.
Suppose the structure in question 2c is on board the space station. It is set into rotational
motion through the center of mass by a jet of gas installed at the end of the cylinder (see
Figure 3a). The time dependent force generated by the gas jet is given in figure 3b. What
will be the angular velocity at the end of the gas jet? What will be the angular velocity at
t-30s?
3d.
Suppose the axis of rotation is shifted to the far end of the sphere (see figure 3c). The
rigid structure is set into rotational motion by the same gas jet mounted at the end of the
cylinder. What will be the angular velocity or at the termination of the gas jet?
t(s)
jet (Lto
nc
(3a)
Transcribed Image Text:3a. Define angular displacement Δθ, angular velocity ω, and angular acceleration α. 3b. Use these definition to derive an equation that link the final angular velocity or f (A0, 3c. Suppose the structure in question 2c is on board the space station. It is set into rotational motion through the center of mass by a jet of gas installed at the end of the cylinder (see Figure 3a). The time dependent force generated by the gas jet is given in figure 3b. What will be the angular velocity at the end of the gas jet? What will be the angular velocity at t-30s? 3d. Suppose the axis of rotation is shifted to the far end of the sphere (see figure 3c). The rigid structure is set into rotational motion by the same gas jet mounted at the end of the cylinder. What will be the angular velocity or at the termination of the gas jet? t(s) jet (Lto nc (3a)
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