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A uniform rope of length 13 m and mass 13kg tied on a peg A on a wall passes over a frictionless peg B fixed in level with the peg A as shown in the figure. If in equilibrium, length of the rope hanging between the pegs is 8 m.
1. Find the angle which the rope makes with the wall at the peg A.
2. Find the force exerted by peg B on the string.
A rope of length l placed straight on a frictionless horizontal floor is pulled longitudinally by a force F from one of its ends. Tensile force T developed in the rope at a distance x from the rear end varies with x as shown in the graph. What can you certainly conclude about density of the rope?
a) It is uniform
b) It decreases with distance x from the rear end
c) It increases with distance x from the rear end
d) It is maximum in the middle and decreases towards the ends. Advanced problems Playlist
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