A 6 Coll Table Chart Text Shape Media Comment dd Page Insert Accept Reject | Changes + Comment Highlight Now, k = 4 pi2/slope of the line k = (4p2 /slope)= N/m Compare this value of k with the value previously determined. Get the percentage difference. Prepare a formal lab report MacBook Pro # m LEB A dd Page Insert Table Chart Text Shape Media Comment Coll | Accept * Reject Changes + Comment | Highlight K= ......... ....N/m Start the spring oscillating by pulling the mass down by a few centimeters and releasing it. Make sure the motion is smooth. Time 10 full oscillations with a stopwatch and record the time in the table. Divide this time by 10 to find the period of oscillation for the mass on the spring. in Find out the average time period, T = ........ Calculate Angular frequency (w) = V k/m = .... ...Result A N Calculate Angular frequency (w) = - ....Result B Get the percentage difference on Result A and B Calculate time period for different hanging masses. Start with 50 gram and keep adding mass in about 20-gram increments and measuring the resulting period for five additional masses. Record the data in the table. Hanging mass Tfor 10 oscillations Period T (kg) ( s ) (s) Plot T" vs. Hanging mass and insert a best fit line with an equation in the chart. The slope of the best fit line is related with the this way : If we square both sides of this equation we get In this equation, as T2 is plotted in Y axis and mass in x axis, Slope = (4piz/k) MacBook ProA Text Shape Media Comment Insert Table Chart Page Accept x Reject Changes + Comment | _ Highlight For part 1 Mount a simple pendulum (use string and a steel ball) so that it can swing freely. Find the time period of pendulum as a function of length. i.e. Change length and N record time period T. (5 times) m Convert the length in meter. # of Trial L (m) T (second) 4 712 L F Plot 4 712 L in Y-axis and T2 in X-axis, then record the value of slope Compare the value of slope (g) with widely accepted value of 9.8 1m/s2 For part 2 . Determine the value of k (spring constant): In order to determine spring constant, you need to mount the spring on the stand, and attach a small mass of about 50 g to the spring. S. N. Mass Weight (F) = mg (N) Displacement x in (m) H N m 2. Plot F in Y-axis and X in (m), slope gives you k (spring constant) MacBook ProEE A Table Chart Text Media Comment Collabora Page Insert Shape + Comment | Highlight Accept * Reject Paused anges Simple Harmonic Motion of Vertical Mass-spring Systems (a) (c) (d) (e) -Fnet X-0 -. . . Y....-- Fort = - max two Fiet = 0 Fort = - max a- max a - max Fnet - 0 Fnet = 0 a=+ max v = + max For = + max a =+ max https://sites.google.com/site/ataleofshmandearthquakes/home/whatisshm Similarly, In a simple pendulum system, Time period of one oscillation is given by, T = 2nVl/g Where, I is the length of a pendulum, T is the time period and g is acceleration due to gravity. Length of pendulum AO O --d.V. Back-and-Forth Swing Diagram 1 (From A to B and back to A) Diagram 2 https://awbionotes.wordpress.com/2013/01/21/class-exercise-2-pendulum/ MacBook Pro