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. Calculate the angles at point c, and the tension in the string. You are climbi

ID: 1791799 • Letter: #

Question

. Calculate the angles at point c, and the tension in the string. 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 for you t accelerate upward at 1.5 m/s2, assuming your inertia is 60 kg? The maximum tension that the rope can support is 1225 N, and the inertia of the rope is small enough that the gravitational force exerted on the rope itself can be ignored maximum inertia the rope can support at this acceleration? b. . What is the

Explanation / Answer

Solution:

acceleration = a = 1.5 m/s/s

gravity = 9.8 m/s/s

mass = 60 kg

Tension = m(g+a) = (60)(9.8+1.5) = 678 N

b) If T = 1225 N

and gravity force can be neglected; T = ma

Maximum inertia = m = T/(1.5+9.8) = 1225/(11.3) = 108.4Nkg