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 .
Example
Two charges, one with +10 μC of charge, and
another with - 7.0 μC of charge are placed in
line with each other and held at a fixed distance
of 0.45 m. Where can you put a 3rd charge of +5
μC, so that the net force on the 3rd charge is
zero?
*
Coulomb's Law Example
Three charges are positioned as seen below. Charge
1 is +2.0 μC and charge 2 is +8.0μC, and charge 3 is -
6.0MC.
What is the magnitude and the direction of the force
on charge 2 due to charges 1 and 3?
93
kq92
F
==
2
r13 = 0.090m
91
r12 = 0.12m
92
Coulomb's Constant: k = 8.99x10+9 Nm²/C²
✓
Genetic Analysis: An Integrated Approach (3rd Edition)
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