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Find the torque + about the pivot point p due to force F. Your answer should correctly express both the magnitude and sign of T. Express your answer in terms of F and r or in terms of F, 0, and r. T= 15. ΑΣΦ Submit Request Answer ?

Find the torque + about the pivot point p due to force F. Your answer should correctly express both the magnitude and sign of T. Express your answer in terms of F and r or in terms of F, 0, and r. T= 15. ΑΣΦ Submit Request Answer ?

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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<Rotation of a rigid body Torque about the z Axis Learning Goal: To understand two different techniques for computing the torque on an object due to an applied force. Imagine an object with a pivot point p at the origin of the coordinate system shown (Figure 1). The force vector F lies in the xy plane, and this force of magnitude Facts on the object at a point in the xy plane. The vector 7 is the position vector relative to the pivot point p to the point where F is applied. The torque on the object due to the force F is equal to the cross product 7 =7 x F. When, as in this problem, the force vector and lever arm both lie in the xy plane of the paper or computer screen, only the z component of torque is nonzero. When the torque vector is parallel to the z axis (7 = Tk), it is easiest to find the magnitude and sign of the torque, T, in terms of the angle between the position and force vectors using one of two simple methods: the Tangential Component of the Force method or the Moment Arm of the Force method. Note that in this problem, the positive z direction is perpendicular to the computer screen and points toward you (given by the right-hand rule ix j = k), so a positive torque would cause counterclockwise rotation about the z axis. Tangential component of the force ▶ ▶ Part A Part B Part C ▶ Part D Part E T = Submit Part F VE ΑΣΦ ▶ Part G 1 Find the torque T about the pivot point p due to force F. Your answer should correctly express both the magnitude and sign of T. Express your answer in terms of Ft and r or in terms of F, 0, and r. Request Answer Provide Feedback < ? 5 of 16 Help > Review I Constants Moment arm of the force In the figure, the dashed line extending from the force vector is called the line of action of F. The perpendicular distance rm from the pivot point p to the line of action is called the moment arm of the force. J J Next >
Transcribed Image Text:<Rotation of a rigid body Torque about the z Axis Learning Goal: To understand two different techniques for computing the torque on an object due to an applied force. Imagine an object with a pivot point p at the origin of the coordinate system shown (Figure 1). The force vector F lies in the xy plane, and this force of magnitude Facts on the object at a point in the xy plane. The vector 7 is the position vector relative to the pivot point p to the point where F is applied. The torque on the object due to the force F is equal to the cross product 7 =7 x F. When, as in this problem, the force vector and lever arm both lie in the xy plane of the paper or computer screen, only the z component of torque is nonzero. When the torque vector is parallel to the z axis (7 = Tk), it is easiest to find the magnitude and sign of the torque, T, in terms of the angle between the position and force vectors using one of two simple methods: the Tangential Component of the Force method or the Moment Arm of the Force method. Note that in this problem, the positive z direction is perpendicular to the computer screen and points toward you (given by the right-hand rule ix j = k), so a positive torque would cause counterclockwise rotation about the z axis. Tangential component of the force ▶ ▶ Part A Part B Part C ▶ Part D Part E T = Submit Part F VE ΑΣΦ ▶ Part G 1 Find the torque T about the pivot point p due to force F. Your answer should correctly express both the magnitude and sign of T. Express your answer in terms of Ft and r or in terms of F, 0, and r. Request Answer Provide Feedback < ? 5 of 16 Help > Review I Constants Moment arm of the force In the figure, the dashed line extending from the force vector is called the line of action of F. The perpendicular distance rm from the pivot point p to the line of action is called the moment arm of the force. J J Next >
<Rotation of a rigid body Torque about the z Axis Learning Goal: To understand two different techniques for computing the torque on an object due to an applied force. Imagine an object with a pivot point p at the origin of the coordinate system shown (Figure 1). The force vector F lies in the xy plane, and this force of magnitude Facts on the object at a point in the xy plane. The vector 7 is the position vector relative to the pivot point p to the point where F is applied. The torque on the object due to the force F is equal to the cross product 7 =7 x F. When, as in this problem, the force vector and lever arm both lie in the xy plane of the paper or computer screen, only the z component of torque is nonzero. When the torque vector is parallel to the z axis (7 = Tk), it is easiest to find the magnitude and sign of the torque, T, in terms of the angle between the position and force vectors using one of two simple methods: the Tangential Component of the Force method or the Moment Arm of the Force method. Note that in this problem, the positive z direction is perpendicular to the computer screen and points toward you (given by the right-hand rule ix j = k), so a positive torque would cause counterclockwise rotation about the z axis. Tangential component of the force ▶ ▶ Part A Part B Part C ▶ Part D Part E T = Submit Part F VE ΑΣΦ ▶ Part G 1 Find the torque T about the pivot point p due to force F. Your answer should correctly express both the magnitude and sign of T. Express your answer in terms of Ft and r or in terms of F, 0, and r. Request Answer Provide Feedback < ? 5 of 16 Help > Review I Constants Moment arm of the force In the figure, the dashed line extending from the force vector is called the line of action of F. The perpendicular distance rm from the pivot point p to the line of action is called the moment arm of the force. J J Next >
Transcribed Image Text:<Rotation of a rigid body Torque about the z Axis Learning Goal: To understand two different techniques for computing the torque on an object due to an applied force. Imagine an object with a pivot point p at the origin of the coordinate system shown (Figure 1). The force vector F lies in the xy plane, and this force of magnitude Facts on the object at a point in the xy plane. The vector 7 is the position vector relative to the pivot point p to the point where F is applied. The torque on the object due to the force F is equal to the cross product 7 =7 x F. When, as in this problem, the force vector and lever arm both lie in the xy plane of the paper or computer screen, only the z component of torque is nonzero. When the torque vector is parallel to the z axis (7 = Tk), it is easiest to find the magnitude and sign of the torque, T, in terms of the angle between the position and force vectors using one of two simple methods: the Tangential Component of the Force method or the Moment Arm of the Force method. Note that in this problem, the positive z direction is perpendicular to the computer screen and points toward you (given by the right-hand rule ix j = k), so a positive torque would cause counterclockwise rotation about the z axis. Tangential component of the force ▶ ▶ Part A Part B Part C ▶ Part D Part E T = Submit Part F VE ΑΣΦ ▶ Part G 1 Find the torque T about the pivot point p due to force F. Your answer should correctly express both the magnitude and sign of T. Express your answer in terms of Ft and r or in terms of F, 0, and r. Request Answer Provide Feedback < ? 5 of 16 Help > Review I Constants Moment arm of the force In the figure, the dashed line extending from the force vector is called the line of action of F. The perpendicular distance rm from the pivot point p to the line of action is called the moment arm of the force. J J Next >
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