A slide in a machine is to run on rolling balls. The balls run in grooves with straight sides as shown. The angle of the upper (moving) groove is 120°, and that of the lower (fixed) groove is 90°. What size balls should be used? Solve using solid geometry. surmounted by a hollow right circularangent to the sphere, and the base of thehe vertex of the cone is distant R frombe volume common to the sphere andcone.ha radius of a sphere. If the radius ofE portion of the cube which lies cutsideight circular cylinder of altitude 8 in.eter 12 in.on rollingaight sidesng) grooveove is 90°.120It has fornd for its06atio (a) ofea of thehe volume of the sphere.in a circular. hole of radius 5.13 in.the sphere extend?s with the axis of a right circular cone,surface of the sphere in a great circle.E (b) the volume of the cone; (c) theofof the cone

Three-dimensional shapes are the focus of solid geometry. Cubes, rectangular solids, prisms,…

A slide in a machine is to run on rolling balls. The balls run in grooves with straight sides as shown. The angle of the upper (moving) groove is 120°, and that of the lower (fixed) groove is 90°. What size balls should be used? Solve using solid geometry.

A slide in a machine is to run on rolling balls. The balls run in grooves with straight sides as shown. The angle of the upper (moving) groove is 120°, and that of the lower (fixed) groove is 90°. What size balls should be used? Solve using solid geometry.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.84P

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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

surmounted by a hollow right circular
angent to the sphere, and the base of the
he vertex of the cone is distant R from
be volume common to the sphere and
cone.
ha radius of a sphere. If the radius of
E portion of the cube which lies cutside
ight circular cylinder of altitude 8 in.
eter 12 in.
on rolling
aight sides
ng) groove
ove is 90°.
120
It has for
nd for its
06
atio (a) of
ea of the
he volume of the sphere.
in a circular. hole of radius 5.13 in.
the sphere extend?
s with the axis of a right circular cone,
surface of the sphere in a great circle.
E (b) the volume of the cone; (c) the
of
of the cone

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