Question

You are climbing a rope straight up toward the ceiling.

1). What is the magnitude of the force you must exert on the rope in order to accelerate upward at 1.4 m/s2m/s2 , assuming your inertia is 61 kgkg ?

Express your answer with the appropriate units.

2). If the maximum tension the rope can support is 1225 NN, 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?

Answer 1

Solution:

1) Given, mass(inertia) .

accleration upwards

Take

When you are climbing upwards with an acceleration a, the tension T in the string is

2) The acceleration upwards is

Tension in the string

So, the mass(inertia)m which can be supported by the rope is