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The torque of a force (T) is defined as the vector product of the position a) Determine the resulting torque vector, together with its magnitude, con- vector of the force (r), measured from the axis of rotation, multiplied vec- sidering that the force exerted by the arm on the wrench is given by the torially by the force vector ( F ): vector FA= (10f-6f-2k) N and that the position, with respect to the axis of the nut, where the force is applied is given by the vector rA-(0.20 i+0.12 j+0.02 k) m. And If the angle between the force vector and the position Torque is something like the "twisting force" that a force performs, when vector is 90°, the highest torque is produced for that magnitude of force and applied at a certain distance from the axis. Torque is applied in most simple position. Determine the angle between the initially given force and position. tools: scissors, hammers, wrenches, screwdrivers, among others. For exam- b) If the nut supports a maximum torque of 257 N m, what would be the ple, when tightening a nut, a torque must be applied that does not exceed a maximum force (Fmax) that this nut supports, assuming that it is applied in maximum value, because if it is exceeded it can damage it. the same position and direction as the force FA? (Note that the maximum Suppose you are tightening a nut with a special wrench as shown in the force will be a multiple of the other force). And if a person wants to tighten following figure 1. the nut more, doubling the torque produced initially, would it be more prac- tical to double the magnitude of the force vector or double the position vec- tor? Explain your reasoning. Final del documento

The torque of a force (T) is defined as the vector product of the position a) Determine the resulting torque vector, together with its magnitude, con- vector of the force (r), measured from the axis of rotation, multiplied vec- sidering that the force exerted by the arm on the wrench is given by the torially by the force vector ( F ): vector FA= (10f-6f-2k) N and that the position, with respect to the axis of the nut, where the force is applied is given by the vector rA-(0.20 i+0.12 j+0.02 k) m. And If the angle between the force vector and the position Torque is something like the "twisting force" that a force performs, when vector is 90°, the highest torque is produced for that magnitude of force and applied at a certain distance from the axis. Torque is applied in most simple position. Determine the angle between the initially given force and position. tools: scissors, hammers, wrenches, screwdrivers, among others. For exam- b) If the nut supports a maximum torque of 257 N m, what would be the ple, when tightening a nut, a torque must be applied that does not exceed a maximum force (Fmax) that this nut supports, assuming that it is applied in maximum value, because if it is exceeded it can damage it. the same position and direction as the force FA? (Note that the maximum Suppose you are tightening a nut with a special wrench as shown in the force will be a multiple of the other force). And if a person wants to tighten following figure 1. the nut more, doubling the torque produced initially, would it be more prac- tical to double the magnitude of the force vector or double the position vec- tor? Explain your reasoning. Final del documento

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The torque of a force (T) is defined as the vector product of the position a) Determine the resulting torque vector, together with its magnitude, con- vector of the force (r), measured from the axis of rotation, multiplied vec- sidering that the force exerted by the arm on the wrench is given by the torially by the force vector ( F): vector FA= (10-6f-2k) N and that the position, with respect to the axis of the nut, where the force is applied is given by the vector rA-(0.20 î+0.12 j+0.02 k) m. And If the angle between the force vector and the position Torque is something like the "twisting force" that a force performs, when vector is 90°, the highest torque is produced for that magnitude of force and applied at a certain distance from the axis. Torque is applied in most simple position. Determine the angle between the initially given force and position. tools: scissors, hammers, wrenches, screwdrivers, among others. For exam- b) If the nut supports a maximum torque of 257 N m, what would be the ple, when tightening a nut, a torque must be applied that does not exceed a maximum force (Fmax) that this nut supports, assuming that it is applied in maximum value, because if it is exceeded it can damage it. the same position and direction as the force F? (Note that the maximum Suppose you are tightening a nut with a special wrench as shown in the force will be a multiple of the other force). And if a person wants to tighten following figure 1. the nut more, doubling the torque produced initially, would it be more prac- tical to double the magnitude of the force vector or double the position vec- tor? Explain your reasoning. Final del documento
Transcribed Image Text:The torque of a force (T) is defined as the vector product of the position a) Determine the resulting torque vector, together with its magnitude, con- vector of the force (r), measured from the axis of rotation, multiplied vec- sidering that the force exerted by the arm on the wrench is given by the torially by the force vector ( F): vector FA= (10-6f-2k) N and that the position, with respect to the axis of the nut, where the force is applied is given by the vector rA-(0.20 î+0.12 j+0.02 k) m. And If the angle between the force vector and the position Torque is something like the "twisting force" that a force performs, when vector is 90°, the highest torque is produced for that magnitude of force and applied at a certain distance from the axis. Torque is applied in most simple position. Determine the angle between the initially given force and position. tools: scissors, hammers, wrenches, screwdrivers, among others. For exam- b) If the nut supports a maximum torque of 257 N m, what would be the ple, when tightening a nut, a torque must be applied that does not exceed a maximum force (Fmax) that this nut supports, assuming that it is applied in maximum value, because if it is exceeded it can damage it. the same position and direction as the force F? (Note that the maximum Suppose you are tightening a nut with a special wrench as shown in the force will be a multiple of the other force). And if a person wants to tighten following figure 1. the nut more, doubling the torque produced initially, would it be more prac- tical to double the magnitude of the force vector or double the position vec- tor? Explain your reasoning. Final del documento
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