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5. Three forces act on the sphere: the tension force
G
T
of the rope
(acting along the rope), the force of the wall
N
F
G
(acting horizontally
away from the wall), and the force of gravity
mg
G
(acting
downward). Since the sphere is in equilibrium they sum to zero. Let
θ
be the angle between the rope and the vertical. Then Newton’s
second law gives
vertical component :
T
cos
–
mg
= 0
horizontal component:
F
N
–
T
sin
= 0.
(a) We solve the first equation for the tension:
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force, Gravity

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