top top mg R - bot Vbot 8 mg sin 0 mg cos e mg mg Figure 6.9 (Example 6.6) The forces acting on a sphere of mass m connected to a cord of length Rand rotating in a vertical circle centered at 0. Forces acting on the sphere are shown when the sphere is at the top and bottom of the circle and at an arbitrary location.

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A small sphere of mass m is attached to the end of a cord of length R and
set into motion in a vertical circle about a fixed point O as illustrated shown. Determine the tangential acceleration of the sphere and the tension in the cord at any instant when the speed of the sphere is v and the cord makes an angle θ with the vertical.

top
top
mg
R
- bot
Vbot
8 mg sin 0
mg cos e
mg
mg
Figure 6.9 (Example 6.6) The forces acting
on a sphere of mass m connected to a cord
of length Rand rotating in a vertical circle
centered at 0. Forces acting on the sphere are
shown when the sphere is at the top and bottom
of the circle and at an arbitrary location.
Transcribed Image Text:top top mg R - bot Vbot 8 mg sin 0 mg cos e mg mg Figure 6.9 (Example 6.6) The forces acting on a sphere of mass m connected to a cord of length Rand rotating in a vertical circle centered at 0. Forces acting on the sphere are shown when the sphere is at the top and bottom of the circle and at an arbitrary location.
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