SECTION 13.4 The Cross Product 679 Show that the position vectors of the masses mi,mz, and mj are...
SECTION 13.4 The Cross Product 679 Show that the position vectors of the masses mi,mz, and mj are F= 25 newtons 125. 92i) Then show that F 25 newtons 125 where R = 9.8 m/s2. To simplify the computation, note that all three gravitational forces act in the -j direction, so the j-components of the position vectors r; do not contribute to the torque. 10 m FIGURE 22 FIGURE 23 65. Let τ be the net torque about O acting on the robotic arm of Fig. ure 23. Assume that the two segments of the arms have mass mi and 66. Continuing with Exercise 65, suppose that L m2 (in kilograms) and that a weight of m 3 kg is located at the endpoint m-15 kg. m2 = 20 kg, and m- 3 m, L22m 18kg. lfthe angles 01-02 are equal (say, to θ), what is the maximum allowable value of e if we assume arm can sustain a maximum torque o we may assume that the entire mass of f 1200 N·m? that the robotic each arm segment lies at the midpoint of the arm (its center of mass).
SECTION 13.4 The Cross Product 679 Show that the position vectors of the masses mi,mz, and mj are F= 25 newtons 125. 92i) Then show that F 25 newtons 125 where R = 9.8 m/s2. To simplify the computation, note that all three gravitational forces act in the -j direction, so the j-components of the position vectors r; do not contribute to the torque. 10 m FIGURE 22 FIGURE 23 65. Let τ be the net torque about O acting on the robotic arm of Fig. ure 23. Assume that the two segments of the arms have mass mi and 66. Continuing with Exercise 65, suppose that L m2 (in kilograms) and that a weight of m 3 kg is located at the endpoint m-15 kg. m2 = 20 kg, and m- 3 m, L22m 18kg. lfthe angles 01-02 are equal (say, to θ), what is the maximum allowable value of e if we assume arm can sustain a maximum torque o we may assume that the entire mass of f 1200 N·m? that the robotic each arm segment lies at the midpoint of the arm (its center of mass).