Problem 1: m. M2 A small mass m; rests on but is not attached to a large mass M2 that slides on its base without friction. The maximum frictional force between m; and M2 is f. A spring of constant kis attached to the large mass M2 and to the wall as shown above.
Problem 1: m. M2 A small mass m; rests on but is not attached to a large mass M2 that slides on its base without friction. The maximum frictional force between m; and M2 is f. A spring of constant kis attached to the large mass M2 and to the wall as shown above.
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Hints:
1b: Use the equation for the maximum acceleration, amax = Aω^2. The oscillating mass is m1+ M2.
1c: The friction force on m1 follows the behavior of m1’s acceleration function
Transcribed Image Text:Problem 1:
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M2
A small mass m; rests on but is not attached to a large mass M2 that slides on its base without
friction. The maximum frictional force between m; and M2is f. A spring of constant kis attached to
the large mass M2 and to the wall as shown above.
Transcribed Image Text:b. Determine the maximum amplitude A for simple harmonic motion of the two masses if they
are to move together (i.e. m; must not slip on M2).
Answer 1b:
c. The two-mass combination is pulled to the right the maximum amplitude found in part (b)
and released. Describe the frictional force on the small mass m; during the first half cycle
of oscillation.
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