CE Predict/Explain A disk and a hoop (bicycle wheel) of equal radius and mass each have a string wrapped around their circumferences Hanging from the strings, halfway between the disk and the hoop, is a block of mass m, as shown in Figure 11-56. The disk and the hoop are free to rotate about their centers When the block is allowed to fall does it stay on the center line, move toward the right, or move toward the left'? (b) Choose the best explanation from among the following: Figure 11-56 Problem 71 I. The disk is harder to rotate and hence its angular acceleration is less than that of the wheel. II. The wheel has the greater moment of inertia and unwinds more slowly than the disk. III. The system is symmetric, with equal mass and radius on either side.
CE Predict/Explain A disk and a hoop (bicycle wheel) of equal radius and mass each have a string wrapped around their circumferences Hanging from the strings, halfway between the disk and the hoop, is a block of mass m, as shown in Figure 11-56. The disk and the hoop are free to rotate about their centers When the block is allowed to fall does it stay on the center line, move toward the right, or move toward the left'? (b) Choose the best explanation from among the following: Figure 11-56 Problem 71 I. The disk is harder to rotate and hence its angular acceleration is less than that of the wheel. II. The wheel has the greater moment of inertia and unwinds more slowly than the disk. III. The system is symmetric, with equal mass and radius on either side.
CE Predict/Explain A disk and a hoop (bicycle wheel) of equal radius and mass each have a string wrapped around their circumferences Hanging from the strings, halfway between the disk and the hoop, is a block of mass m, as shown in Figure 11-56. The disk and the hoop are free to rotate about their centers When the block is allowed to fall does it stay on the center line, move toward the right, or move toward the left'? (b) Choose the best explanation from among the following:
Figure 11-56 Problem 71
I. The disk is harder to rotate and hence its angular acceleration is less than that of the wheel.
II. The wheel has the greater moment of inertia and unwinds more slowly than the disk.
III. The system is symmetric, with equal mass and radius on either side.
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
. A hoop, a disk, a solid sphere, and a hollow sphere are raced down an incline, as inConceptual Example 10-17. The objects all have the same mass and radius. Rankthe objects in the order in which they finish the race, from first to last. Indicate tieswhere appropriate.
Formation of a Neutron Star
A star rotates with a period of 33 days about an axis through its center. The period is the time interval required for a point on the star's equator
to make one complete revolution around the axis of rotation. After the star undergoes a supernova explosion, the stellar core, which had a
radius of 2.0 x 10 km, collapses into a neutron star of radius 6.3 km. Determine the period of rotation of the neutron star.
SOLUTION
Conceptualize The change in the neutron star's motion is similar to that of the skater described earlier in the textbook, but in the reverse
direction. As the mass of the star moves doser to the rotation axis, we expect the star to spin ---Select--v.
Categorize Let us assume that during the collapse of the stellar core, (1) no external torque acts on it, (2) it remains spherical with the same
relative mass distribution, and (3) its mass remains constant. We categorize the star as ---Select-- v system in terms of angular
momentum. We do not know…
A yoyo of radius R and mass M is released from rest with the string vertical and its top end fixed up a support as shown below. How fast is the center of mass of the yoyo moving when it has fallen a distance of 47 cm. Ignore the mass of the string and express your answer if m/s
Genetic Analysis: An Integrated Approach (3rd Edition)
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