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Example 4: Rather than integrate in they direction, let's rotate the board 90° and integrate over...
Heres example 10.2 (3) (30 points) In Example 10.2, the moment of inertia tensor for a...
Heres example 10.2
(3) (30 points) In Example 10.2, the moment of inertia tensor for a uniform solid cube of mass Mand side a is calculated for rotation about a corner of the cube. It also worked out the angular momentum of the cube when rotated about the x-axis - see Equation 10.51. (a) Find the total kinetic energy of the cube when rotated about the x-axis. (b) Example 10.4 finds the principal axes of this cube. It shows that...
Please help with 3 and 4. 518 Guided Projects Guided Project 77: Planimeters and vector fields...
Please help with 3 and 4.
518 Guided Projects Guided Project 77: Planimeters and vector fields Topics and skills: Vector calculus, Stokes' Theorem The planimeter is an ingenious device that allows one to trace a closed curve in the plane and determine the area of the region R enclosed by the curve (Figure 1). For this reason, it is an example of an "integrator," a mechanical device that computes areas of regions bounded by curves. The original planimeter was invented...
Suppose the tractor pulls horizontally on the sled instead of at an angle of 36.9. As...
Suppose the tractor pulls horizontally on the sled instead of at an angle of 36.9. As a result, the magnitude of the friction force increases to 4400N. What is the total work done on the sled? Answer: 1.20x10 J onedo 72 Work 187 SOLUTION The statement of the problem gives the hright h rather than the distance s measured along the ramp, but we can solve for h by recogsizing from the geometry in Figare 7.13 that s sinB- h....
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Heres example 10.2
(3) (30 points) In Example 10.2, the moment of inertia tensor for a uniform solid cube of mass Mand side a is calculated for rotation about a corner of the cube. It also worked out the angular momentum of the cube when rotated about the x-axis - see Equation 10.51. (a) Find the total kinetic energy of the cube when rotated about the x-axis. (b) Example 10.4 finds the principal axes of this cube. It shows that...
Please help with 3 and 4.
518 Guided Projects Guided Project 77: Planimeters and vector fields Topics and skills: Vector calculus, Stokes' Theorem The planimeter is an ingenious device that allows one to trace a closed curve in the plane and determine the area of the region R enclosed by the curve (Figure 1). For this reason, it is an example of an "integrator," a mechanical device that computes areas of regions bounded by curves. The original planimeter was invented...
Suppose the tractor pulls horizontally on the sled instead of at an angle of 36.9. As a result, the magnitude of the friction force increases to 4400N. What is the total work done on the sled? Answer: 1.20x10 J onedo 72 Work 187 SOLUTION The statement of the problem gives the hright h rather than the distance s measured along the ramp, but we can solve for h by recogsizing from the geometry in Figare 7.13 that s sinB- h....
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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