Pr3. A wooden plank of mass M is placed on the top of two identical, homogeneous cylinders, each of mass m. The plank is attached to a verti- cal wall with a horizontal ideal spring of stiffness k (see figure). Find the period of small oscilla- tions of the plank. Assume that the coefficient of static friction is large enough so the cylinders don't slip neither on the horizontal surface nor on the plank. m m

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Pr3. A wooden plank of mass M is placed on
the top of two identical, homogeneous cylinders,
each of mass m. The plank is attached to a verti-
cal wall with a horizontal ideal spring of stiffness
k (see figure). Find the period of small oscilla-
tions of the plank. Assume that the coefficient
of static friction is large enough so the cylinders
don't slip neither on the horizontal surface nor
on the plank.
M
Transcribed Image Text:Pr3. A wooden plank of mass M is placed on the top of two identical, homogeneous cylinders, each of mass m. The plank is attached to a verti- cal wall with a horizontal ideal spring of stiffness k (see figure). Find the period of small oscilla- tions of the plank. Assume that the coefficient of static friction is large enough so the cylinders don't slip neither on the horizontal surface nor on the plank. M
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