Problem: Rotating puck weight Draw FBD of hanging mass Since r is constant, a=0 SO T=m29 m29 Physics 121: Lecture 11, Pg 6
Physics 121: Lecture 11, Pg 6 Problem: Rotating puck & weight... Draw FBD of hanging mass: Since R is constant, a = 0. so T = m2g m2 m2g T m1 m2 v R T
Problem: Rotating puck weight N Draw Fbd of sliding mass: T=m29 m Use F=T=ma m,9 Where a=v2/R m m2g= m,V2/R g尺 m口 Physics 121: Lecture 11, Pg 7
Physics 121: Lecture 11, Pg 7 Problem: Rotating puck & weight... Draw FBD of sliding mass: m1 T = m2g v gR m m = 2 1 m1g N m1 m2 v R T Use F = T = m1a where a = v 2 / R m2g = m1v 2 / R
Forces Causing Centripetal Acceleration F=mac F mg Physics 121: Lecture 11, Pg 8
Physics 121: Lecture 11, Pg 8 Forces Causing Centripetal Acceleration r v a t c 2 = r v F ma t c 2 = = v F r mg m f n
Forces Causing Centripetal Acceleration Turn on a sloped road F=ma=-=n sin 0 n cos e 0 n sin e Physics 121: Lecture 11, Pg 9
Physics 121: Lecture 11, Pg 9 Forces Causing Centripetal Acceleration Turn on a sloped road … mg n sin 2 n r v F ma t = c = = mg n sin n cos
Accelerated reference frames. The Accelerometer Your first job is with General Motors. You are working on a project to design an accelerometer The inner workings of this gadget consist of a weight of mass m that is hung inside a box that is attached to the ceiling of a car. You design the device with a very light string so that you can mathematically ignore it. The idea is that the angle the string makes with the vertical is determined by the cars acceleration. Your preliminary task is to think about calibration of the accelerometer. First you calibrate the measurement for when the car travels on a flat road Physics 121: Lecture 11, Pg 10
Physics 121: Lecture 11, Pg 10 Accelerated Reference Frames: The Accelerometer Your first job is with General Motors. You are working on a project to design an accelerometer. The inner workings of this gadget consist of a weight of mass m that is hung inside a box that is attached to the ceiling of a car. You design the device with a very light string so that you can mathematically ignore it. The idea is that the angle the string makes with the vertical is determined by the car’s acceleration. Your preliminary task is to think about calibration of the accelerometer. First you calibrate the measurement for when the car travels on a flat road