Physics 1401A/B Lecture Notes - Lecture 1: Dot Product, Product Rule, Electrical Contacts

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Lecture 3 : motion in a straight line. Velocity at a pa(cid:396)ti(cid:272)ula(cid:396) poi(cid:374)t o(cid:374) the g(cid:396)aph is fou(cid:374)d (cid:271)(cid:455) the e(cid:395)uatio(cid:374) (cid:1874)= (cid:1864)(cid:1861)(cid:1865) (cid:1872) (cid:882) (cid:3051) (cid:3047) the change in position within a very small duration of time. Chapter 2, sections 2. 1-2. 5, appendix a-2: displacement, velocity and acceleration, functions, differentiation and integration, vectors and basic operations with them. A vector can be (cid:396)esol(cid:448)ed i(cid:374)to (cid:454) a(cid:374)d (cid:455) (cid:272)o(cid:373)po(cid:374)e(cid:374)ts su(cid:272)h that . Using the components of a vector you can find the magnitude of the vector as well as the angle to the x-axis (cid:1853)(cid:3051)=(cid:1853)(cid:1855)(cid:1867)(cid:1871) (cid:1853)(cid:3052)=(cid:1853)(cid:1871)(cid:1861)(cid:1866) (cid:1854)= (cid:1854)(cid:3051)(cid:2870)+(cid:1854)(cid:3052)(cid:2870) (cid:1872)(cid:1853)(cid:1866)=(cid:1854)(cid:3052)(cid:1854)(cid:3051) (cid:1853) (cid:1854) =(cid:4666)(cid:1853)(cid:1876) (cid:1854)(cid:1876)+(cid:1853)(cid:1877) (cid:1854)(cid:1877)(cid:4667)=(cid:1853) (cid:1854) (cid:1855)(cid:1867)(cid:1871)(cid:4666)(cid:4667: parallel vectors. Dot product: anti-parallel vectors, perpendicular, (cid:1853) (cid:1854) =(cid:1853)(cid:1854, cos(cid:4666)(cid:882)(cid:4667)=(cid:883, (cid:1853) (cid:1854) = (cid:1853)(cid:1854, cos(cid:4666)(cid:883)(cid:890)(cid:882)(cid:4667)= (cid:883, (cid:1853) (cid:1854) =(cid:882, cos(cid:4666)(cid:891)(cid:882)(cid:4667)=(cid:882) Not commutative, order of vectors in multiplication matters. Projectile motion kinematic equations (cid:1856)=(cid:1856)(cid:3042)+(cid:1874)(cid:1872)+(cid:883)(cid:884)(cid:1853)(cid:1872)(cid:2870) (cid:1856)=(cid:1856)(cid:3042)+(cid:1874)(cid:3033)(cid:1872) (cid:883)(cid:884)(cid:1853)(cid:1872)(cid:2870) (cid:1874)(cid:3033)=(cid:1874)+(cid:1853)(cid:1872) The direction of the acceleration in circular motion is inwards and perpendicular to the velocity.

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