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Two blocks with masses m and M are connected by a massless string which runs over a massless pulley, as shown. The pulley is supported by a second string, which hangs at an angle 0 from the vertical. As the masses accelerate, the pulley remains at rest and the string connected to mass m remains horizontal. (a) Draw force diagrams for (i) mass m; (ii) mass M; and (iii) the pulley. Before doing any calculations: Is the (Ъ) tension in the rope greater than, equal to, or less than Mg? Explain. Find the acceleration of m and M. (c) (d) Find the tension in the rope. Is your expression for the tension consistent with your answer to (b)? (e) Determine the angle 0.

Two blocks with masses m and M are connected by a massless string which runs over a massless pulley, as shown. The pulley is supported by a second string, which hangs at an angle 0 from the vertical. As the masses accelerate, the pulley remains at rest and the string connected to mass m remains horizontal. (a) Draw force diagrams for (i) mass m; (ii) mass M; and (iii) the pulley. Before doing any calculations: Is the (Ъ) tension in the rope greater than, equal to, or less than Mg? Explain. Find the acceleration of m and M. (c) (d) Find the tension in the rope. Is your expression for the tension consistent with your answer to (b)? (e) Determine the angle 0.

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Two blocks with masses m and M are connected by a massless string which runs over a massless pulley, as shown. The pulley is supported by a second string, which hangs at an angle 0 from the vertical. As the masses accelerate, the pulley remains at rest and the string connected to mass m remains horizontal. (a) Draw force diagrams for (i) mass m; (ii) mass M; and (iii) the pulley. Before doing any calculations: Is the (Ъ) tension in the rope greater than, equal to, or less than Mg? Explain. Find the acceleration of m and M. (c) (d) Find the tension in the rope. Is your expression for the tension consistent with your answer to (b)? (e) Determine the angle 0.
Transcribed Image Text:Two blocks with masses m and M are connected by a massless string which runs over a massless pulley, as shown. The pulley is supported by a second string, which hangs at an angle 0 from the vertical. As the masses accelerate, the pulley remains at rest and the string connected to mass m remains horizontal. (a) Draw force diagrams for (i) mass m; (ii) mass M; and (iii) the pulley. Before doing any calculations: Is the (Ъ) tension in the rope greater than, equal to, or less than Mg? Explain. Find the acceleration of m and M. (c) (d) Find the tension in the rope. Is your expression for the tension consistent with your answer to (b)? (e) Determine the angle 0.
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