Problem 1. (25 points)
A spring and plunger system launches a 0.5kg ball of negligible size up a smooth vertical circular track.
The spring is compressed 0.08 m by the plunger when
s
= 0. Assume that following release of the
plunger, the spring returns to its initial compression equaling 0.08 m.
(a)
Determine how far
s
must the plunger be pulled back and released if the ball begins to leave the
track when
θ
= 135
°
.
(b)
Determine how far
s
the plunger must be pulled back and released so that the ball will just make it
around the loop (point
B)
.
(c)
Based on your calculation in part b, what is the ball’s speed (magnitude of velocity) when it first
hits the platform.
Answers:
Part (a) Distance
s
Part (b) Distance
s
Part (c) Speed of ball
B
A
0.5 m
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Name
2
Problem 2. (25 points)
The figure illustrates a commonly used quickreturn mechanism which produces a slow cutting stroke of
the tool (attached to D) and a rapid return stroke. If the driving crank
OA
is turning at the constant rate
˙
θ
=
3
rad/s, determine the magnitude of the velocity of point B for the instant when
θ
= 30
°
.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '09
 PERKINS
 Velocity, 0.5 m, 3 Rad, 0.08 m, 0.5kg

Click to edit the document details