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ME 240 Fall 2008
Problem Set 3 – Due September 26.
1.
The circular disk lies
in the horizontal plane
and rotates with a constant counterclockwise angular velocity
of 4 rad/s. The 0.5kg slider
A
is supported horizontally by the smooth slot and the string attached at
B
.
Determine the tension in the string and the magnitude of the horizontal force exerted on the slider by the
slot.
2.
Suppose you are designing a monorail transportation system that will travel at 50 m/s, and you that the
angle
θ
that the cars swing out from the vertical when they go through a turn must not be larger than 20
◦
. If
the turns in the track consist of circular arcs of constant radius
R
, what is the minimum allowable value of
R
? (See Active Example 14.6)
3.
The skier passes point
A
going 17 m/s. From
A
to
B
, the radius of his circular path is 6 m. By using
Newton’s second law in terms of polar coordinates, determine the magnitude of the skier’s velocity as he
leaves the jump at
B
. Neglect tangential forces other than the tangential component of his weight.
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The 10kg collar starts from rest at position 1 and slides along the smooth bar. The
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 Fall '09
 PERKINS

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