In the figure at right, an object is placed at the top of a ramp (point A) and allowed to roll downward to the right. The ramp has a circular curvature of radius R, centered on point P. At some point along the way (point B in the diagram) the rolling object separates from the ramp and falls freely until it reaches the ground (point C). C For each of the four objects in part (1), determine the angle o at which the object separates from the ramp. (Assume no energy loss to friction, air drag, sound, etc.)

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Chapter1: Units, Trigonometry. And Vectors
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2. In the figure at right, an object is placed at the top of
a ramp (point A) and allowed to roll downward to the
A
right. The ramp has a circular curvature of radius R,
centered on point P. At some point along the way
(point B in the diagram) the rolling object separates
from the ramp and falls freely until it reaches the
ground (point C).
C
For each of the four objects in part (1), determine the
angle o at which the object separates from the ramp. (Assume no energy loss to friction, air
drag, sound, etc.)
Transcribed Image Text:2. In the figure at right, an object is placed at the top of a ramp (point A) and allowed to roll downward to the A right. The ramp has a circular curvature of radius R, centered on point P. At some point along the way (point B in the diagram) the rolling object separates from the ramp and falls freely until it reaches the ground (point C). C For each of the four objects in part (1), determine the angle o at which the object separates from the ramp. (Assume no energy loss to friction, air drag, sound, etc.)
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