The maximum tensi

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.9P: Consider a projectile fired vertically in a constant gravitauonal field. For the same initial...
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c. The maximum tension the string can have without breaking is Tmax - Derive
an expression for v,
point E without breaking the string.
the maximum speed the ball can have at
max>
Transcribed Image Text:c. The maximum tension the string can have without breaking is Tmax - Derive an expression for v, point E without breaking the string. the maximum speed the ball can have at max>
An object of mass M is attached to a string. The
length of the string is r and has no mass. The
objects moves in a vertical circle
counterclockwise as shown.
When the ball is at point F, the string is
horizontal. Point E is at the bottom of the circle and point D is at the top of
the circle. Air resistance is negligible. Express all algebraic answers in
terms of the given quantities and fundamental constants.
On the figures below, draw and label all the forces exerted on the ball when
it is at points F and E, respectively.
T, is the Tension in
when obgelt
is al)
whin object is atE
my
b. Derive an expression for vming the minimum speed the ball can have at
point D to complete the loop.
Fc T
mg
Fc: My
U mn = Jrg
muz
min
?min 9
Transcribed Image Text:An object of mass M is attached to a string. The length of the string is r and has no mass. The objects moves in a vertical circle counterclockwise as shown. When the ball is at point F, the string is horizontal. Point E is at the bottom of the circle and point D is at the top of the circle. Air resistance is negligible. Express all algebraic answers in terms of the given quantities and fundamental constants. On the figures below, draw and label all the forces exerted on the ball when it is at points F and E, respectively. T, is the Tension in when obgelt is al) whin object is atE my b. Derive an expression for vming the minimum speed the ball can have at point D to complete the loop. Fc T mg Fc: My U mn = Jrg muz min ?min 9
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