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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