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The apparatus that you will use for the studio lab is shown in the drawings belo

ID: 2127513 • Letter: T

Question

The apparatus that you will use for the studio lab is shown in the drawings below (Figure 1) (Figure 2) . A string connects the two-body system, which is defined as the cart and force probe together (m1) and the falling mass (m2). The falling mass accelerates down, and the cart and force probe accelerate along the track. The force probe measures the tension in the string. Derive theoretical expressions for the tension T in the string and the acceleration a of the two-body system in terms of m1, m2, and the acceleration of gravity g.



Figure 1:



Figure 2:


The apparatus that you will use for the studio lab is shown in the drawings below (Figure 1) (Figure 2) . A string connects the two-body system, which is defined as the cart and force probe together (m1) and the falling mass (m2). The falling mass accelerates down, and the cart and force probe accelerate along the track. The force probe measures the tension in the string. Derive theoretical expressions for the tension T in the string and the acceleration a of the two-body system in terms of m1, m2, and the acceleration of gravity g. Derive the tension in the string Express your answer in terms of m1, m2, and g Derive the acceleration of the system Express your answer in terms of m1, m2, and g

Explanation / Answer

a=m2*g/(m1+m2)......

T=m1*m2*g/(m1+m2)

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