1. A and B are rolling cylinders connecting the shafts S and T. C and E are cylinders fast to these shafts and slipping on each other at P. Find the diameters of C and E if the surface speed of E is twice that of C. P T A B 16

Elements Of Electromagnetics
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CYLINDERS AND CONES IN PURE ROLLING CONTACT
1. A and B are rolling cylinders connecting the shafts S and T. C and E are cylinders fast to
these shafts and slipping on each other at P. Find the diameters of C and E if the surface
speed of E is twice that of C.
P
E
A
B
16
2. Two solids of right section 2 and 4 are in pure rolling contact between the circular arcs.
What is the angular speed ratio for the position shown? Determine the size of the angles a,
B, and Ø in degrees, and of the radii x and y in inches.
12
-18
3. Two shafts, having axes in the same plate intersecting at an angle of 45°, turn in opposite
senses at 30 rpm and 90 rpm. Draw a pair of cone to be located on these shafts and turn in
pure rolling contact. Diameter of base of smaller cone is 1 in. Calculate the cone angles.
4. Two shafts A and B are connected by rolling cones and turn in the same direction. Shaft A
makes 300 rpm while shaft B makes 100 rpm. Calculate the cone angle of each cone and
the diameter of each base if the base of cone B is 2 in. from the vertex. 0 = 30°
Transcribed Image Text:CYLINDERS AND CONES IN PURE ROLLING CONTACT 1. A and B are rolling cylinders connecting the shafts S and T. C and E are cylinders fast to these shafts and slipping on each other at P. Find the diameters of C and E if the surface speed of E is twice that of C. P E A B 16 2. Two solids of right section 2 and 4 are in pure rolling contact between the circular arcs. What is the angular speed ratio for the position shown? Determine the size of the angles a, B, and Ø in degrees, and of the radii x and y in inches. 12 -18 3. Two shafts, having axes in the same plate intersecting at an angle of 45°, turn in opposite senses at 30 rpm and 90 rpm. Draw a pair of cone to be located on these shafts and turn in pure rolling contact. Diameter of base of smaller cone is 1 in. Calculate the cone angles. 4. Two shafts A and B are connected by rolling cones and turn in the same direction. Shaft A makes 300 rpm while shaft B makes 100 rpm. Calculate the cone angle of each cone and the diameter of each base if the base of cone B is 2 in. from the vertex. 0 = 30°
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