03-09062023 AM316-03

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California State University, Northridge *

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316

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Aerospace Engineering

Date

Oct 30, 2023

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pdf

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kinematics Geometry of motion or motion without force acceleration a velocity v distances Kinetics Relationship between force and acceleration Coordinates position of particle at time t can be described using Z p g 1 Rectangular Coordinates x y z p gg ng't y 2 Cylindrical Coordinates r f z 3 Spherical coordinates R A a Motion of a particle or rigid y body can be described by ax using coordinates measured from I Fixed Reference axes Absolute motion analysis 2 Moving Reference axes Relative motion analysis 1 Plane Motion 2D 2 Three Dimensional Motion 3D

RECTILINEAR Motion Motion in straight Line p S g as s s x Dt DE t II placemen average velocity Navy If left s mph Instantaneous velocity s n s Feit g Average acceleration Aang AN Dt Instantaneous acceleration speeding up j a If i Dowingdonly It S N a are vectors Tiago t N ft a ft dt 9 vdv or Sds Sds

Constant Acceleration ca ac 1 Ac date fatadt act N no velocity nga to to t 2 N GE No tact Ids first act dt So S so Not act position t p position to S So not fact 1 1 13 3 In du jads v2 n aces s V2 V3 Zac S So Graphical Relationship at pig a dat fan fade DV fad Tinker a t Change in velocity Area under t a t

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NI N If Sds fndt o Area as f ÉEE at Displacement Area under I v t art seri vis fa 1 Area under a s s E Cri Vi Example I The velocity of a particle is defined by N 3 2 2 t fits Determine its position and acceleration when t 3 seconds t o 5 0 Solution o at atese Is S So 5 DS S g S O S Position N If Ids Judt so

s s est Zt It s t tf S 333 37 5 36 ft Acceleration a dig d 35 24 It a Gt 2 3 see a 3 6 3 2 A 20 52 Example 2 A rocket travels upward at 75ms and when at 40m from the ground its engine fails Determine the maximum height sis and speed just before it hits the ground Neglect the effect of air resistance É qt b 9 9.81 2 NÉE Il s b Avg SA 40m nice s o

Solution 1 Sa 40m Acceleration is constant ta 753 due t gravity 9 9.815 1 SB 43 0 5 0 just before we it hits the ground A B N Nf Zac Sa Sa 02 751s 21 9,81752 5 Yom 313,327 B C we up Zac Sc SB NE 02 2 9.8152 O 327m Nc 80 im sd Example 3 The v s graph describing the motion of a motorcycle is shown below Construct a s graph 50 I 0 0.28 10 y I 10 Solution Time is not given Ndr ads a n Ids

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0151200 a n 0.25 10 digged 0.25 10 0.2 a 0.045 2 5 0 ACO 0.04103 2 2 ftsz 5 200 962003 0.041200 2 10 ftsz 200 ES E 400 A N dg 507 3 o o alftya 101 i t I i n I I 2 i t I i n 200 4 51ft