Centripetal acceleration and force


Assignment:

Energy conservation, centripetal acceleration and force, and projectile.

A circular pipe whose radius R= 10 m, has a frictionless surface. A small frictionless mass placed on its highest point, slides down to a point where it loses contact, then travels in free fall to impact on the ground.

a. Find the angle b from vertical to a radius from center to the small mass at the instant it loses contact.
b. For an x,y origin at the point where it loses contact, find the x and y coordinates of the impact point on the ground.

Small frictionless mass starts from rest at top of surface, slides to point where it loses contact, then in free fall to ground.

1355_Centripetal acceleration.JPG

Forces mg and N after leaving starting point, now moving at speed v before losing contact.

1174_Energy conservation.JPG

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Physics: Centripetal acceleration and force
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