(a) Draw a free-body diagram for the ladder.(Do this on paper. Your instructor m

Question

(a) Draw a free-body diagram for the ladder.(Do this on paper. Your instructor may ask you to turn in thiswork.)

(b) Find the normal force exerted by the bottom of the ladder.
1 N

(c) Find the tension in the rope when the monkey is two-thirds ofthe way up the ladder.
2
Your response differs from the correct answerby orders of magnitude. N

(d) Find the maximum distance d that the monkey can climbup the ladder before the rope breaks.
3
Your response differs from the correct answerby orders of magnitude. m

(e) If the horizontal surface were rough and the rope were removed,how would your analysis of the problem be changed and what otherinformation would you need to answer parts (c) and (d)?
4

Explanation / Answer

Fn = Wm +WL    normal force on floor = weight ofmonkey + weight of ladder Fn = 8.1 * 9.8 + 99 = 178.38 N

Fw = T    normal force exerted bywall = tension in rope Fw L sin 53 = WL cos 53 (L /2) + Wm (2 L / 3) cos 53 (Taking torque about contact with floor)

Fw = T = (WL / 2 + 2 Wm / 3)cos 53 / sin 53 = ___ N   for tension in rope Fw L sin 53 = WL cos 53 (L /2) + Wm d cos 53 (replacing 2 L / 3 by d the distance up the ladder)

d = [Fw L sin 53 - WL cos 53 (L / 2) ] / (Wm cos 53) d = ___ m

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