As shown below, a bullet of mass m and speed v is fired at an initially stationary sphere. The bullet goes through the sphere, and exits with a speed of . The sphere is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the sphere will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the sphere.) f mass the sphere vector v ext the bullet. A dotted from the bullet, and out to sphere, where a p v/2

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.10P
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As shown below, a bullet of mass m and speed v is fired at an initially stationary sphere. The bullet goes through the sphere, and exits with a speed of 

v
2
.

 The sphere is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the sphere will barely swing through a complete vertical circle? (Use the following as necessary: mLg, and M for the mass of the sphere.

As shown below, a bullet of mass m and speed v is fired at an initially stationary sphere. The bullet goes through the sphere, and exits with a speed of . The sphere is attached to a rigid pole of length L and
2
negligible mass. What is the minimum value of v such that the sphere will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the sphere.)
to an axle at its upper end. A bullet
of mass m is directly to the left of
ONabeled
vector v exteds to the right below
the bullet. A dotted line extens
gh the sphere
e of the
the sphere, andn
from the bullet, throu
and out to the right
sphere, where a pale
age ofthe
mown with
labeled -- M----D
Adotted
trajecvry of radius Lextends v/2
bullet i
the sphere.
V =
Transcribed Image Text:As shown below, a bullet of mass m and speed v is fired at an initially stationary sphere. The bullet goes through the sphere, and exits with a speed of . The sphere is attached to a rigid pole of length L and 2 negligible mass. What is the minimum value of v such that the sphere will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the sphere.) to an axle at its upper end. A bullet of mass m is directly to the left of ONabeled vector v exteds to the right below the bullet. A dotted line extens gh the sphere e of the the sphere, andn from the bullet, throu and out to the right sphere, where a pale age ofthe mown with labeled -- M----D Adotted trajecvry of radius Lextends v/2 bullet i the sphere. V =
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