You are told that a 5 kg block
sits on a smooth surface, and is connected to a 15 kg and another 5
kg block as shown in Fig. 1. All pulleys and ropes are massless,
and additionally the ropes are inextensible.
(a) Draw neatly presented FBDs for each of the masses.
(b) Argue that the magnitude of acceleration a of all masses in the system are the same, given the information in the problem. Restrict your response to two lines.
(c) Assume that the masses are in motion. Choose and indicate appropriate coordinates. Write down Newton’s 2nd law for each of the masses.
(d) You are given that the acceleration a = 4m/s2. Use this to find the tensions in the two ropes.
(e) If the surface on which the 5kg mass sits was rough (i.e. has friction), would the acceleration of the system increase or decrease? Explain your response in under two lines.
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