Problem 3-41: An astronaut A weighs W and is on a platform that is rotating at...

 

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Problem 3-41: An astronaut A weighs W and is on a platform that is rotating at an angular velocity wi with respect to ground. Also, he is walking on a ta ble which, at the instant shown in Figure P3-41, is in the plane of the platform. His velocity and accel eration are vo and ao, respectively, both with respect to the rotating table and in a direction that forms an angle with respect to the rotating axis of the plat form. The rotating table has an angular velocity wa with respect to the platform. At the instant shown, the astronaut is a radial distance b from the axis of the rotation of the table. Find the velocity and ac celeration which the astronaut is experiencing at the instant shown. The reference frames defined in Figure P3-41 are as follows: OXYZ is fixed to ground; Oxy121 is fixed to the platform; and Ox2y222 is fixed to the table. 2,21,22 Platform X,x1,x2 FIGURE P3-41 b A 0 W2 Table vo, ao Y, 31.32 Problem 3-41: An astronaut A weighs W and is on a platform that is rotating at an angular velocity wi with respect to ground. Also, he is walking on a ta ble which, at the instant shown in Figure P3-41, is in the plane of the platform. His velocity and accel eration are vo and ao, respectively, both with respect to the rotating table and in a direction that forms an angle with respect to the rotating axis of the plat form. The rotating table has an angular velocity wa with respect to the platform. At the instant shown, the astronaut is a radial distance b from the axis of the rotation of the table. Find the velocity and ac celeration which the astronaut is experiencing at the instant shown. The reference frames defined in Figure P3-41 are as follows: OXYZ is fixed to ground; Oxy121 is fixed to the platform; and Ox2y222 is fixed to the table. 2,21,22 Platform X,x1,x2 FIGURE P3-41 b A 0 W2 Table vo, ao Y, 31.32

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VELOCITY AND ACCELERATION Platform is rotating at an w 1 with respect to the ... View the full answer