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
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 119AP: An automobile engine can produce 200Nm of torque. Calculate the angular acceleration produced if...
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Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
Question
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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