Question

DIRECTIONS: Work the problem. You must show all work to receive credit, and you must return this sheet. Be sure to explain carefully your answers and show your work in a neat and organized manner. The problem is worth 20 points. Be sure to write the symbolic equation you use before inserting numbers!! A figure depicting the apparatus you used in the moment of inertia experiment is shown to the right. 110.0 grams were placed on the sensing wheel- 5.00-g mass hanger and allowed to fall. The graph of velocity versus time obtained from the experiment is shown below. The length of the string attached to the falling mass was adjusted so that the falling mass reversed direction when it was essentially at floor level meaning that ho was zero in your equations. When the mass was released from rest 82.0 cm above the floor, it returned to a height of 63.0 cm. (a) Calculate the acceleration of the falling mass. (b) Calculate the force due to friction acting during the experiment. (c) Calculate the tension in the string connecting the falling mass to the pulley. (d) Calculate the angular acceleration of the rotating object. (e) Calculate the moment of inertia of the rotating object. (f) If the radius of the rotating object is 11.0 cm, calculate the mass of the rotating object, assuming its moment of inertia is given by / = (4/9) MR. Please use g= 9.80 m/s2, and let the radius of the pulley be 1.25 cm. rotating object pulley falling mass m base velocity versus time 100.0 80.0 60.0 40.0 YB 20.0 0.00 0.00 5.00 4.00 3.00 2.00 1.00 time (s) velocity (mm/s)

Answer 1

The acceleratenof fallnonadn cau be calcuktec fromgreph sepe १pk acceleratin s 36 mbh/s Y 2.00 S he force rictiou is equel to the potental enej D- b) woyk clone dons Moss . fore s ftetin is the fas hare Ah 82.0 cm-63.Dcm 19.0c 0. 19cu and scltaplacenet s=2.0t63.0 145cm D-45m 48N henie o145 Tension imthe is or T-mym =0.115 (991-0.018)13N T-m9-a) acceleatioy Anguke R O.O125