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A body is launched straight up from height 100 feet with some initial velocity It hits the ground after 10 second What was that initial velocity

The position of the second ship at any time t is x = 1000m + (6 m/s)l The separation of the ships is from the Pythagorean theorem s = d x

EXAMPLE A customer in the medical instrument eld indicates a need for a plate cam that is low speed at 60 rpm with a radial translating roller follower It is a DRDRD cycle of 90 , each showing the steps necessary in the kinematic study of the pressure angle and radii of curvature plus the manufacturing data to be forwarded to the shop Solution The cam curve selected was the popular modi ed sine curve with simple harmonic curve sector at 75 percent of the cycle and the cycloidal ends of 125 percent each Also, a grinding operation was chosen with a cam contour tolerance of 0001 inch Figures E9 and E10 summarize the coordinate information developed by CAMCO for the B-12345 sample cam

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We are given that h0 = 100 Thus h( t) = 16t2 + v0 t + 100 Our job is to find v0 We also know that 0 = h( 10) = 16 102 + v0 10 + 100 We solve this equation to find that v0 = 150 ft/sec

Figure E1 B-12345 Sample cam, milling part-program les (shows milling operation tools to be used in machining center) Figure E2 B-12345 Sample cam, grinding part-program les (lists grinding operation tools) Figure E3 Plate cam stock (shows the selected body for the cam) Figure E4 Drawing with cam contour (preliminary drawing of cam shape) Figure E5 Drawing with cam contour and check (presents basic data picture of coordinates and visual track of locus of roller follower) Figure E6 Custom plate speci cations (shows coordinate le for use with universal post; record check for part position) Figure E7 B-12345 Sample cam plot of coordinate le (coordinate check) Figure E8 B-12345 Sample cam kinematic listing (contains basic kinematic data)

O1 N2T20 N3M6 N4D30H20 N5M98P100 N6T21 N7M6 N8D31H21 N9M98P100 N10T22 N11M6 N12D32H22 N13M98P100 N14M30 O100 N101G20G17 N102G00G90G55X0Y0 N103X-29149Y-2559 N104G41X-24923Y-11622 N105S300M3 N106G43Z10000M8 N107G91Z-8000 N108G1Z-2000F1000 N109M98P200 N110M9 N111G40 N112G28Z0M19 N113M99 O200 N201X50Y-109Z-1 N202X52Y-108Z-7 N203X52Y-108Z-18 N204X52Y-108Z-34 N205X53Y-108Z-52 ****** N990X81Y-88Z146 N991X82Y-88Z128 N992X82Y-88Z110 N993X82Y-87Z91 N994X83Y-87Z72 N995X83Y-86Z52 N996X84Y-86Z34 N997X84Y-86Z18 N998X84Y-85Z7 N999X85Y-85Z1 N1000Z2000 N1001M99

of 10 ft/sec2 A certain body is thrown down with an initial velocity of 5 feet per second, and hits the surface 12 seconds later From what height was it launched

FIGURE E1 program le B-12345 Sample cam milling part-

.

The position of the first ship at 300 s is its speed (8 m/s ) times the 300 s :

%MPF100 (CAMCO, B-12345) N5M95 N10G04X5 /N15(PROGRAM-STOP)M00 N20G60G90S2000 N25G00Z250 N30U00V698500 N35C2050000 N40Z235725 N45M03 N50G01G94F150 /N55M00 N60M26 N65G64G90 N70G04X150 N71V698500Z235723C2052500 N72V698500Z235705C2055000 N73V698500Z235658C2057500 N74V698500Z235572C2060000 N75V698500Z235440C2062500 **** N860V698500Z234423C2227500 N861V698500Z234749C2230000 N862V698500Z235028C2232500 N863V698500Z235258C2235000 N864V698500Z235440C2237500 N865V698500Z235572C2240000 N866V698500Z235658C2242500 N867V698500Z235705C2245000 N868V698500Z235723C2247500 N869V698500Z235725C2250000 N874G90G00 N879Z250 N884M05M27 N889G60 N894C360000 N899@123R0R1K9995 N904@621R0 N909G91B=R2 N914@100K-5 N9995B0 N9999M30

Figure E9 B-12345 Sample cam kinematic coordinate values (Note: radii of curvature is for the pitch contour, ie, center of roller The minimum radius of curvature is -14054 at 55 and 305 and also +12913 at 123 and 237 Also the maximum pressure angle is 382842 at 82 This pressure angle is accepted since a small cam is desired because only a small space is available For use in the universal post the 1/2degree increments would be forwarded for the cam fabrication Also note that the velocity and acceleration values are listed as a check on the data)

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