4. Neo was cornered on top of a building and ran out of bullets. An agent shoots at him, and all Neo can do in that situation was to dodge the bullet, limbo-rock style, by bending his knees. Suppose the bullet behaves like a projectile and muzzle velocity is at 370m/s, determine the minimum angular velocity, o (in rad/s), of Neo's body so that he can evade the bullet. Assume that this angular velocity is constant, gun is aimed at Neo horizontally, and air resistance is neglected for Neo and the bullet. And neglect the diameter of Neo’s head, assume that his head is a particle or his whole body is a “stick" bent at the knees and only his body from above the knees rotates. Vo = 370m/s 1.85 m 1.35 m 0.55 m 5.50 m

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Topic: Dynamics of Rigid Bodies

 

4. Neo was cornered on top of a building and ran out
of bullets. An agent shoots at him, and all Neo can do
in that situation was to dodge the bullet, limbo-rock
style, by bending his knees. Suppose the bullet
behaves like a projectile and muzzle velocity is at
370m/s, determine the minimum angular velocity, o
(in rad/s), of Neo's body so that he can evade the
bullet. Assume that this angular velocity is constant,
gun is aimed at Neo horizontally, and air resistance is neglected for Neo and the bullet. And neglect the
diameter of Neo's head, assume that his head is a particle or his whole body is a "stick" bent at the knees and
only his body from above the knees rotates.
V. = 370m/s
1.85 m
1.35 m
0.55 m
5.50 m
Transcribed Image Text:4. Neo was cornered on top of a building and ran out of bullets. An agent shoots at him, and all Neo can do in that situation was to dodge the bullet, limbo-rock style, by bending his knees. Suppose the bullet behaves like a projectile and muzzle velocity is at 370m/s, determine the minimum angular velocity, o (in rad/s), of Neo's body so that he can evade the bullet. Assume that this angular velocity is constant, gun is aimed at Neo horizontally, and air resistance is neglected for Neo and the bullet. And neglect the diameter of Neo's head, assume that his head is a particle or his whole body is a "stick" bent at the knees and only his body from above the knees rotates. V. = 370m/s 1.85 m 1.35 m 0.55 m 5.50 m
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