Scary Problems (that aren’t really scary)
1) What is the period of
the motion of the
mass?
1.30 s
Scary Problems (that aren’t really scary)
3.28 s
Scary Problems (that may be getting scarier)
A blue pendulum has a point mass
attached to its
end, and a red pendulum has a point mass
attached to its end. The other ends of the pendula
are attached to the same point on the ceiling. Both
pendula have a length of 1 m. The blue pendulum is
pulled 10 cm to the left, the red pendulum is pulled 10 cm to the right,
and both pendula are released from rest at time
. When the
masses at the end of the pendula collide, they do so elastically.
1) (Easier problem) If
, when do the masses collide
for the third time?
2.51 s
2) (Harder problem) If
, when do the
masses collide for the third time?
2.51 s
3) (Even harder problem?) If
are unknown and not
necessarily the same mass, and the collision is no longer elastic,
when do the masses collide for the third time? (You can write your
2.51 s
answer in terms of variables if needed).
Scary Problems (that aren’t really scary)
Top view:
Two identical horizontal springs, each with spring constant
and a natural length of 0 m (yep, actually zero), are
connected to each other and to two walls a distance of apart, as
shown in the figure above to the left. A mass
is then
attached to the midpoint and is moved horizontally a distance from
the equilibrium position, in a direction perpendicular to the original
spring orientation, as shown in figure above to the right. The mass is
released and oscillates back and forth horizontally on top of a
frictionless table.
1. What is the period of oscillation of the mass ?
0.628 s
Scary Problems (that aren’t really scary)
Express your answer in terms of A, d, k, and m as necessary.