Answer: In Exercises 6366, the torque about the origin O due to a force F acting on an

Chapter 12, Problem 66

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In Exercises 6366, the torque about the origin O due to a force F acting on an object with position vector r is the vector quantity = r F. If several forces Fj act at positions rj , then the net torque (units: N-m or lb-ft) is the sum = rj Fj Torque measures how much the force causes the object to rotate. By Newtons Laws, is equal to the rate of change of angular momentum. Continuing with Exercise 65, suppose that L1 = 3 m, L2 = 2 m, m1 = 15 kg, m2 = 20 kg, and m3 = 18 kg. If the angles 1, 2 are equal (say, to ), what is the maximum allowable value of if we assume that the robotic arm can sustain a maximum torque of 1200 N-m?

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