A rock climber, of total mass 62kg, holds herself in horizontal equilibrium against a vertical cliff. She pulls
on a rope that is fixed at the top of the cliff and presses her feet against the cliff.
(a) Calculate the total weight of the climber.
(b) State the two conditions needed for equilibrium.
(c) The climber’s centre of mass is 0.90m from the cliff.
(i) Calculate the moment about her feet due to her weight
(ii) The line of the rope meets the horizontal line through her centre of mass at distance of 1.2m from the
cliff, as shown in the figure. The rope is at an angle of 60° to the horizontal. Determine the tension in the
rope. (Take g = 10ms-2
)