A mountain climber of mass m hangs onto a rope to keep from sliding down a smooth, ice-cov...

A mountain climber of mass m hangs onto a rope to keep from sliding down a smooth, ice-covered slope (Figure). Find a formula for the tension in the rope when the slope is inclined at an angle θ above the horizontal. Check your results in the limits θ = 0 and θ = 90°.

FIGURE