5) A metal ball of mass m with a hole through it is threaded in a frictionless vertical rod. A massless string of length / is attached to the ball and runs over a massless, frictionless pulley to support a block of mass M. Show that the potential energy can be U(h) = Mg√√/h² + b² − mgh a) written as b) Can the system be in stable equilibrium? h m b d H M

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5)
A metal ball of mass m with a hole through it is
threaded in a frictionless vertical rod. A massless string of
length / is attached to the ball and runs over a massless,
frictionless pulley to support a block of mass M.
Show that the potential energy can be
U(h) = Mg√√/h² + b² − mgh
a)
written as
b)
Can the system be in stable equilibrium?
m
b
d
H
M
Transcribed Image Text:5) A metal ball of mass m with a hole through it is threaded in a frictionless vertical rod. A massless string of length / is attached to the ball and runs over a massless, frictionless pulley to support a block of mass M. Show that the potential energy can be U(h) = Mg√√/h² + b² − mgh a) written as b) Can the system be in stable equilibrium? m b d H M
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