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In a scene from the movie The Avengers, one of the propellers on the SHIELD Helicarrier has been halted by Hydra. In order for the propeller to regain function and prevent the helicarrier from crashing into New York City, the rotor of mass M and radius R must be manually jump=started to an angular speed of wg. Iron Man will jump in between on the 8 propeller blades and use his rocket suit in order to fix the rotor. All of the propeller blades are touching the encapsulating outer wall. Altered (3/4)R Iron Man R (a) There is a maximum static frictional force between each rotor blade and the outer wall fs. What is the smallest force Iron Man must exert on the blade in order to get it moving if he pushes a distance of (3/4)R from the rotor's center? In this part of the problem the rotor is at rest, so w in the figure should be ignored. (b) If Iron Man has time T to get the rotor from rest to its jump speed wa, what force must he apply? You can ignore kinetic friction and say that Irotor = MR (c) How much energy does Iron Man expend during this process?

In a scene from the movie The Avengers, one of the propellers on the SHIELD Helicarrier has been halted by Hydra. In order for the propeller to regain function and prevent the helicarrier from crashing into New York City, the rotor of mass M and radius R must be manually jump=started to an angular speed of wg. Iron Man will jump in between on the 8 propeller blades and use his rocket suit in order to fix the rotor. All of the propeller blades are touching the encapsulating outer wall. Altered (3/4)R Iron Man R (a) There is a maximum static frictional force between each rotor blade and the outer wall fs. What is the smallest force Iron Man must exert on the blade in order to get it moving if he pushes a distance of (3/4)R from the rotor's center? In this part of the problem the rotor is at rest, so w in the figure should be ignored. (b) If Iron Man has time T to get the rotor from rest to its jump speed wa, what force must he apply? You can ignore kinetic friction and say that Irotor = MR (c) How much energy does Iron Man expend during this process?

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 52P: A space station is constructed in the shape of a hollow ring of mass 5.00 104 kg. Members of the...
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Question 2. In a scene from the movie The Avengers, one of the propellers on the SHIELD Helicarrier has been halted by Hydra. In order for the propeller to regain function and prevent the helicarrier from crashing into New York City, the rotor of mass M and radius R must be manually jump=started to an angular speed of wg. Iron Man will jump in between on the 8 propeller blades and use his rocket suit in order to fix the rotor. All of the propeller blades are touching the encapsulating outer wall. WAltered (3/4)R Iron Man R (a) There is a maximum static frictional force between each rotor blade and the outer wall fg. What is the smallest force Iron Man must exert on the blade in order to get it moving if he pushes a distance of (3/4) R from the rotor's center? In this part of the problem the rotor is at rest, so w in the figure should be ignored. (b) If Iron Man has time T to get the rotor from rest to its jump speed wg, what force must he apply? You can ignore kinetic friction and say that Irotor MR? (c) How much energy does Iron Man expend during this process? (d) What is the final angular momentum of just the rotor after it gets to its jump speed? (e) Once the rotor gets to its jump speed, Iron Man loses power in his thrusters and immediately slows to an angular speed of a/2 and gets hit by the rotor blade behind him. What is the new angular speed of the rotor wAltered after the collision?
Transcribed Image Text:Question 2. In a scene from the movie The Avengers, one of the propellers on the SHIELD Helicarrier has been halted by Hydra. In order for the propeller to regain function and prevent the helicarrier from crashing into New York City, the rotor of mass M and radius R must be manually jump=started to an angular speed of wg. Iron Man will jump in between on the 8 propeller blades and use his rocket suit in order to fix the rotor. All of the propeller blades are touching the encapsulating outer wall. WAltered (3/4)R Iron Man R (a) There is a maximum static frictional force between each rotor blade and the outer wall fg. What is the smallest force Iron Man must exert on the blade in order to get it moving if he pushes a distance of (3/4) R from the rotor's center? In this part of the problem the rotor is at rest, so w in the figure should be ignored. (b) If Iron Man has time T to get the rotor from rest to its jump speed wg, what force must he apply? You can ignore kinetic friction and say that Irotor MR? (c) How much energy does Iron Man expend during this process? (d) What is the final angular momentum of just the rotor after it gets to its jump speed? (e) Once the rotor gets to its jump speed, Iron Man loses power in his thrusters and immediately slows to an angular speed of a/2 and gets hit by the rotor blade behind him. What is the new angular speed of the rotor wAltered after the collision?
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