A small block with mass m is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is T (Figure 1). The walls of the cone make an angle B with the horizontal. The coefficient of static friction between the block and the cone is µg. If the block is to remain at a constant height h above the apex of the cone, what are (a) the maximum value of T and (b) the minimum value of T? (That is, find expressions for Tmax and Tmin in terms of B and h.)
A small block with mass m is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is T (Figure 1). The walls of the cone make an angle B with the horizontal. The coefficient of static friction between the block and the cone is µg. If the block is to remain at a constant height h above the apex of the cone, what are (a) the maximum value of T and (b) the minimum value of T? (That is, find expressions for Tmax and Tmin in terms of B and h.)
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Transcribed Image Text:A small block with mass m is placed inside an inverted cone that is rotating about a
vertical axis such that the time for one revolution of the cone is T (Figure 1). The walls of
the cone make an angle B with the horizontal. The coefficient of static friction between the
block and the cone is Hg. If the block is to remain at a constant height h above the apex of
the cone, what are (a) the maximum value of T and (b) the minimum value of T? (That is,
find expressions for Tmax and Tmin in terms of B and h.)
Figure
1 of 1
KR-
m
h
B
Time for 1 rotation = T

Transcribed Image Text:Part J
Find Tmar and Tmin
Express your answer in terms of the variables lg, B, h, and constants g, T separated by a comma.
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Tmax, Tmin =
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