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# MECHANICS PHYS 121

UW

GPA 3.96

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This 3 page Class Notes was uploaded by Dr. Simeon Wiza on Wednesday September 9, 2015. The Class Notes belongs to PHYS 121 at University of Washington taught by Staff in Fall. Since its upload, it has received 17 views. For similar materials see /class/192462/phys-121-university-of-washington in Physics 2 at University of Washington.

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Date Created: 09/09/15

Vectors Adding vectors Vector components Scalar or Dot product Scalar or Dot product in components Vector or Cross product Vector or Cross product properties Motion in 1 D Displacement Average velocity Instantaneous velocity Average speed Instantaneous speed Average acceleration Instantaneous acceleration Acceleration due to Kinematic equations If 31theanAxBlt and CyAyBy AA AjAk X Y z A1 ABCOS AI AXBXAyBy 14sz AXEABsin A39xB39 B39gtltA39 Ax x2 x1 E a At A d vxt lim x x AHU At dt total distance s average speed total tune I speed lvxl Avx w E x Avx dv dzx 1m H0 At dt dt2 g 981 InS2 toward the center ofthe t A 1 Ax x x0 vavxt 5v0x vxt 1 2 Ax Eaxt Voxl 2 2 vx VOX 2axAx Motion in 2D and 3D Instantaneous velocity Instantaneous acceleration Relative velocity Projectile motion Newton39s Laws Second law Third law Gravitational force Hooke39s law A A d vt 11m AHU At dt A 2 22a limH d r AHU At dt dt2 Ifa particle p moves with velocity VPA relative to reference frame A which is in turn moving with velocity JAB relative to reference frame B the velocity p relative to B is va va VAB ax0anday g Eustma FHA FAB Near the surface of the earth I mg Fx kAx Application of Newton39s Laws Static friction Kinetic friction Centripetal acceleration Tangential acceleration Period Location of center of Velocity of center of mass Acceleration of center of mass su fk Man v2 at r dv a where V is the speed dt 2717 T chm Emlxi Where M Emi i i MUM Emivi Where M 2m i i Mam Small Where M 2m 139 i Newton39s second law for a system Work and energy ork Constant force straight line motion Variable force straight line motion Kinetic energy WorkKinetic energy theorem Power Translational kinetic energy Conservation of energy Potential energy Gravitation potential energy Elastic spring potential energy Conservative force Mechanical energy Workenergy theorem If no external forces do work on the system and there are no non conservative forces Total energy Conservation of energy Energy dissipated by friction Mass and energy Fna ext Macm where M Emi 1 W L 21301 W gm 2 WLgm K mv2 Wold P d W 1 v t Ktrmu vam where M 2 mi AU W U U0 mgy U gkx2 Fx dU dx Emzch Km ny Wm AEmh WM KiUiKfUf E E othcr Exy Emzch Ethzrm Em E014 AExy fksnzl AE rhzrm ch Em 2 E me where c 3108 ms Systems of particles Momentum Kinetic energy of a partic 6 Elastic spring potential energy Conservative force If the net external force acting on a system remains zero the total momentum is conserved Kinetic energy Impulse Impulsemomentum theorem Average force Elastic collision Coef cient of restitution Variab le mass Rocket equation Thrust f7 m 2 K 2m WFM t Fnetext y dt l 2 K 2 Mvcm Km where i 2 KW 2 2 mini where u is the velocity i relative to the center of mass r a I I th I E 2 i V At V2 V1 V1iV2i e vzf v1f V1iV2i dM s Fnetext vrel Ma dt a s dM Mg Ru Ma R EX where dt is the burn rate M zx Fm R sz V dt

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