Experiment 1.Vibrating String OBJECTIVES 1.To explore the relation between the vibration frequency and tension in the string. 2.To master the principle and usage of Gassy Leb computer measurement and data analysis system. PRINCIPLE The length of the string is equal to the half wavelength of the fundamental harmonic in a string that is fixed on both ends,so f=C 2s (1), The phase velocity is given by following formula, =限 (2), where F is the tension of the string.A is the cross area of the string.p is the linear density of the string By substituting formula(1)into formula(2),we will obtain =之E 2s Ap (3) Formula(3)indicates that the frequency is inversely proportional to the length of string (s),and is proportional to the square root of tension(F).Figure 2 exhibits the relation between frequency and length ofstring(s). The incident light of forked type photogate will be periodically warded off if the string vibrates.And the signal will be produced,The computer will acquire,analyze,and alse display the signals.Figure 1 shows the experimentalset-up. 6,22s 翻Experiment 1. Vibrating String OBJECTIVES 1. To explore the relation between the vibration frequency and tension in the string. 2. To master the principle and usage of Gassy Leb computer measurement and data analysis system. PRINCIPLE The length of the string is equal to the half wavelength of the fundamental harmonic in a string that is fixed on both ends, so f = 𝑐 2𝑠 (1)， The phase velocity is given by following formula, c = √ 𝐹 𝐴𝛒 (2), where F is the tension of the string, A is the cross area of the string, ρis the linear density of the string. By substituting formula (1) into formula (2), we will obtain f = 1 2𝑠 √ 𝐹 𝐴𝛒 (3). Formula (3) indicates that the frequency is inversely proportional to the length of string (s), and is proportional to the square root of tension (F). Figure 2 exhibits the relation between frequency and length of string (s). The incident light of forked type photogate will be periodically warded off if the string vibrates. And the signal will be produced, The computer will acquire, analyze, and alse display the signals. Figure 1 shows the experimental set-up