A painter ladder is formed by joining two uniform ladders each 3m long and weighing 150 N. Both the ladders are hinged at the apex and are held together by a horizontal tie rope on a smooth floor. If a 50 kg load is suspended from the apex as shown in figure, then determine the tension in the tie rope. 3m
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Work done is increase the potential energy in
(i) Moving the weight of 150N of the ladder. Since the vertical position of center of mass of the ladder is 1m from A, its final position is also at ground and hence, no change in potential energy occurs.
(ii) Moving the weight 40N attached at the end of the ladder. As the ladder is moved to the new position, the 40N weight moves 1.5m above the ground and hence, the change in potential energy is 40×1.5J.
Work done is given by:
W=0+40×1.5
W=60J
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