General Physics (PHY 109 and PHY 110) Laboratory Experiment #4 Newton's Second Law: Atwood's Machine OBJECTIVES: To check the validity of Newton's Second Law by using Atwood's Machine. EQUIPMENT NEEDED: Atwood's Machine with two weight holders (1), Set of weights (1), Stopwatch (1), Meter stick (1) THEORY: Aftwood's machine consists of two objects with masses m; and m; attached to either end of a light string which passes over a pulley of mass M (Figure 1). ~ Initial position Intermediate position Final position Figure 1. Atwood's machine and positions of objects with masses m; and m: during experiment. The pulley can rotate effectively without friction about a horizontal axle. For the rest of this experiment assume that m; is larger than m;. Applying Newton's Second Law ( Pi, =ma ), we can prove that the acceleration of Atwood's machine has magnitude a=lmom)g (1) M iy + & 2 In this equation g = 9.80 m/s\" is the magnitude of the gravitational acceleration. If the heavier of the two masses m; starts falling from rest from a height i above the ground, and if it takes time to reach the ground, then its average acceleration is given: 2h 2 a= Atwood machine using Physic-interactive: Web Page: https://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Atwoods-Machine interactive: https://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Atwoods-Machine/Atwo Machine-Interactive Data: Mass of Blocks: Blue: 0.75 kg 1.5 kg 2.25 kg 0.75 kg 1.5 kg 2.25 kg Note for this simulation the pulley is massless, M=0.\fData Table i [ma [ 3 [ [am a0 [ O R L Attach sheets showing the details of calculations. Question: Do data collected validate Newton's second law of motion