Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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 to Tangential component of the force Part A (Figure 2) Decompose the force vector F into radial (i.e., parallel to 7) and tangential (perpendicular to 7) components as shown. Find the magnitude of the radial tangential components, F, and F. You may assume that is between zero degrees. Enter your answer as an ordered pair. Express F and F, in terms of Fa ► View Available Hint(s)

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 to Tangential component of the force Part A (Figure 2) Decompose the force vector F into radial (i.e., parallel to 7) and tangential (perpendicular to 7) components as shown. Find the magnitude of the radial tangential components, F, and F. You may assume that is between zero degrees. Enter your answer as an ordered pair. Express F and F, in terms of Fa ► View Available Hint(s)

icon
Related questions
Question
100%

5

F4 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 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 i x j = k), so a positive torque would cause counterclockwise rotation about the z axis. Figure F5 F6 F7 F8 = 1 of 3 DELL F9 Tangential component of the force F10 Part A (Figure 2) Decompose the force vector F into radial (i.e., parallel to 7) and tangential (perpendicular to 7) components as shown. Find the magnitude of the radial and degrees. tangential components, F and F. You may assume that is between zero and 90 Enter your answer as an ordered pair. Express F and F, in terms of F and 0. View Available Hint(s) VE ΑΣΦ (F., F.) = Submit Part B Part C Part D Part E Moment arm of the force In the figure, the dashed line extending from the force vector is called the line of action 4x F11 F12 3 Review | Constants ? Î 3:27 PM 11/26/2023 + 1
Transcribed Image Text:F4 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 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 i x j = k), so a positive torque would cause counterclockwise rotation about the z axis. Figure F5 F6 F7 F8 = 1 of 3 DELL F9 Tangential component of the force F10 Part A (Figure 2) Decompose the force vector F into radial (i.e., parallel to 7) and tangential (perpendicular to 7) components as shown. Find the magnitude of the radial and degrees. tangential components, F and F. You may assume that is between zero and 90 Enter your answer as an ordered pair. Express F and F, in terms of F and 0. View Available Hint(s) VE ΑΣΦ (F., F.) = Submit Part B Part C Part D Part E Moment arm of the force In the figure, the dashed line extending from the force vector is called the line of action 4x F11 F12 3 Review | Constants ? Î 3:27 PM 11/26/2023 + 1
F4 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 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 i x j = k), so a positive torque would cause counterclockwise rotation about the z axis. Figure F5 F6 F7 F8 = 1 of 3 DELL F9 Tangential component of the force F10 Part A (Figure 2) Decompose the force vector F into radial (i.e., parallel to 7) and tangential (perpendicular to 7) components as shown. Find the magnitude of the radial and degrees. tangential components, F and F. You may assume that is between zero and 90 Enter your answer as an ordered pair. Express F and F, in terms of F and 0. View Available Hint(s) VE ΑΣΦ (F., F.) = Submit Part B Part C Part D Part E Moment arm of the force In the figure, the dashed line extending from the force vector is called the line of action 4x F11 F12 3 Review | Constants ? Î 3:27 PM 11/26/2023 + 1
Transcribed Image Text:F4 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 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 i x j = k), so a positive torque would cause counterclockwise rotation about the z axis. Figure F5 F6 F7 F8 = 1 of 3 DELL F9 Tangential component of the force F10 Part A (Figure 2) Decompose the force vector F into radial (i.e., parallel to 7) and tangential (perpendicular to 7) components as shown. Find the magnitude of the radial and degrees. tangential components, F and F. You may assume that is between zero and 90 Enter your answer as an ordered pair. Express F and F, in terms of F and 0. View Available Hint(s) VE ΑΣΦ (F., F.) = Submit Part B Part C Part D Part E Moment arm of the force In the figure, the dashed line extending from the force vector is called the line of action 4x F11 F12 3 Review | Constants ? Î 3:27 PM 11/26/2023 + 1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer