Question

Physics 120 Worksheet 9- Moment of Inertia and Statics Problem 4. Analyzing Torque- You take the wheel from Problem 3 and drill a tiny hole through the center of the x so you carn mount the wheel in an axle. Now you tie three different pieces of string to the wheel and apply the three tension forces of IN to the wheel. Fri is applied to the top of the wheel and points left. Frz is applied to the bottom of the wheel and points down. Frs is applied to the top spoke, halfway between the axle and the outer ring, and this tension force points 45 degrees to the right of upwards. The object has a force of gravity and the axle provides a force to support the wheel as well. (a) Draw a Free Body Diagram by adding force arrows to the figure below (FT. Fr2 FTs. F and Fxle). Be sure your force arrows touch the object where the forces act. 1 sh nen (b) Enter the values of r. F and ф for all forces acting on the wheel into the table. Note that any force with an r value of 0 has an ambiguous sign and $ value. Just put an x in the cells for +/-and ф of a force that has an rof0. Since the axle force is unknown, the symbol for it is already entered into the table. Finally, also enter in a+ for counter clockwise acting forces and a - for clockwise acting forces. This is our sign convention for torques. Force r (m) F(N) degrees) (c) Now use your values from the table above and the fact that the wheel has a moment of inertia of 0.00825kgm2 to find the value of the angular acceleration of the wheel.

Answer 1

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