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Chapter 11: Q40P (page 323)
Question: A disk with a rotational inertia of 7.00 kg m2rotates like a merry-go-round while undergoing a variable torque given. At time, t = 1.00s its angular momentum is 5.00 kg m2 /swhat its angular momentum is at t =3.00s
Answer
The angular momentum of the disk at t = 3.00 is
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In 1980, over San Francisco Bay, a large yo-yo was released from a crane. The 116kg yo-yo consisted of two uniform disks of radius 32cmconnected by an axle of radius 3.2cm(a) What was the magnitude of the acceleration of the yo-yo during its fall ? (b) What was the magnitude of the acceleration of the yo-yo during its rise? (c) What was the tension in the cord on which it rolled? (d) Was that tension near the cord鈥檚 limit of 52kN? Suppose you build a scaled-up version of the yo-yo (same shape and materials but larger). (e) Will the magnitude of your yo-yo鈥檚 acceleration as it falls be greater than, less than, or the same as that of the San Francisco yo-yo? (f) How about the tension in the cord?
In unit-vector notation, what is the net torque about the origin on a flea located at coordinates when forces and act on the flea?
The uniform rod in Fig. 11-54 rotates in the
plane of the figure about an axis through one end, with a rotational inertia of
. As the rod swings through its lowest position, it collides with a
putty wad that sticks to the end of the rod. If the rod鈥檚 angular speed just before
collision is, what is the angular speed of the rod鈥損utty system immediately after collision?
Question: A car has fourwheels. When the car is moving, what fraction of its total kinetic energy is due to rotation of the wheels about their axles? Assume that the wheels have the same rotational inertia as uniform disks of the same mass and size. Why do you not need to know the radius of the wheels?
A top spins at about an axis that makes an angle of with the vertical. The mass of the top is , its rotational inertia about its central axis is , and its centre of mass is from the pivot point. If the spin is clockwise from an overhead view,
(a) what are the precession rate?
(b) what are the direction of the precession as viewed from overhead?
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