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Chapter 10: Q7Q (page 286)
Figure 10-25ais an overhead view of a horizontal bar that can pivot; two horizontal forces act on the bar, but it is stationary. If the angle between the bar and is now decreased from and the bar is still not to turn, should be made larger, made smaller, or left the same?
The force will increase.
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Calculate the rotational inertia of a meter stick, with mass 0.56kg, about an axis perpendicular to the stick and located at the 20cmmark. (Treat the stick as a thin rod.)
A uniform helicopter rotor blade is long, has a mass of , and is attached to the rotor axle by a single bolt. (a) What is the magnitude of the force on the bolt from the axle when the rotor is turning at? (Hint: For this calculation the blade can be considered to be a point mass at its center of mass. Why?) (b) Calculate the torque that must be applied to the rotor to bring it to full speed from rest in . Ignore air resistance. (The blade cannot be considered to be a point mass for this calculation. Why not? Assume the mass distribution of a uniform thin rod.) (c) How much work does the torque do on the blade in order for the blade to reach a speed of ?
The body in Fig. 10-39is pivoted at O, and two forces act on it as shown. If r1= 1.30m ,r2= 2.15m , F1=4.20N , F2 = 4.90N , , and , what is the net torque about the pivot?
Figure 10-34ashows a disk that can rotate about an axis at a radial distance hfrom the center of the disk. Figure 10-34b gives the rotational inertia lof the disk about the axis as a function of that distance h, from the center out to the edge of the disk. The scale on the laxis is set by and. What is the mass of the disk?
A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift abox as shown in Fig. . The outer radius R of the device is , and the radius r of the hub is . When a constant horizontal force of magnitude is applied to a rope wrapped around the outside of the device, the box, which is suspended from a rope wrapped around the hub, has an upward acceleration of magnitude.What is the rotational inertia of the device about its axis of rotation?
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