In Fig. 16-47a, string 1 has a linear density of \( 3.00 \mathrm{~g} / \mathrm{m} \), and string...

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In Fig. 16-47a, string 1 has a linear density of \( 3.00 \mathrm{~g} / \mathrm{m} \), and string 2 has a linear density of \( 5.00 \mathrm{~g} / \mathrm{m} \). They are under tension due to the hanging block of mass \( M=800 \mathrm{~g} \). Calculate the wave speed on (a) string 1 and (b) string 2. (Hint: When a string loops halfway around a pulley, it pulls on the pulley with a net force that is twice the tension in the string.) Next the block is divided into two blocks (with \( \left.M_{1}+M_{2}=M\right) \) and the apparatus is rearranged as shown in Fig. 16-47b. Find (c) \( M_{1} \) and (d) \( M_{2} \) such that the wave speeds in the two strings are equal.
Figure 16-47 Problem 34.
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