You are climbing a rope straight up toward the ceiling.

(a) What are the magnitude and direction of the force you must exert on the rope in order to accelerate upward at \(1.5 \mathrm{~m} / \mathrm{s}^{2}\), assuming your inertia is \(60 \mathrm{~kg}\) ?

(b) If the maximum tension the rope can support is \(1225 \mathrm{~N}\), what is the maximum inertia the rope can support at this acceleration if the inertia of the rope is so small that the gravitational force exerted on the rope can be ignored?