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Q2) A uniform ladder of 45 kg mass and 5.6 m length rests at an angle of 30 ° above the horizonal with one end on ground. A pipe 0.6 m from the opposite end of the ladder provides the other support as shown in Fig. Q2. The coefficient of friction at the ground and the roller are 0.3 and 0.2 respectively.

Attempt EACH of the following:

(a) Sketch a clearly labelled force diagram for this system; (6)

(b) Calculate the maximum distance from the base of the ladder that a 20 kg mass can be supported before the ladder starts to slip. (10)