Course Number: PHYS133 PRE-LAB QUESTIONS 1. In this lab, you will be rotating a mass on one side of a string that is balanced by a second mass on the other end of the string (Figure 5). Apply Newton's Second Law of Motion to mass 1, ms, and mass 2, ma, to solve for the period of mass 1 a. Hint: assume m,= 4ma. How is the centripetal force on m, related to the force of gravity on ma? Figure 5: Rotating mass. Both forces on the ends of the string must be equal to each other, so F1 = Fc2. We know that the force of the 4 washers (representing m2) at the bottom experience the force of gravity which is denoted by its weight (w), SO Fret = w = mg. To find the centripetal force of m, we would use the equation F. = m(") = m, (",), therefore mag = m, (,). We also know that v = -" and that m, = 4m2, so from here we would plug in our knowns. mzg = m1 () m2g = 4m (), where my cancels out to get g = 4Circular Motion From here we want to simplify the problem and isolate for the variable t. g = 4 = 4((2m)2\\ + 2 gt2 = 4(2n)2r +2 - 4(2m ) r -, Where t= 16mr = 4TT g I which is the period of mass 1. Draw a free body diagram and solve for the centripetal acceleration in terms of 0 and g for one person riding on the amusement park ride in Figure 3. https://www.numerade.com/ask/question/in-this-lab-you-will-be-rotating-a-mass-on-one- side-of-a-string-that-is-balanced-by-a-second-mass-on-the-other-end-of-the-string-figure-5- apply-newtons-second-law-of-motion-to-mass-1-m1-and-77282/ 2. The around the world yo-yo trick is completed when you twirl a yo-yo in a vertical circle. If the yo-yo was in uniform circular motion, compare the force of tension at the top of the circle to the force of tension at the bottom of the circle. a. Hint: Drawing a free body diagram will be helpful.Circular Motion EXPERIMENT 1: BALANCING CENTRIPETAL FORCE Data Sheet Table 1. Rotational Data Radius (ml Time per15 Period (5] Expected Percent revolutions (5) Value Error ['34:] Post-Lab Questions 1. Compare your measured data to your predicted values with a percent error calculation. Explain any differences with an error analysis. 2. List allot the physical quantities that affect the value of centripetal force. 3. How did the period of rotation vary as you changed the radius