A light rope is wrapped several times around a large wheel with a radius of 0.400 m. The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in Figure 10.47 . The free end of the rope is tied to a suitcase with a mass of 15.0 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.50 m/s when it reaches the ground. Calculate (a) the angular velocity of the wheel when the suitcase reaches the ground and (b) the moment of inertia of the wheel. Figure 10.47 Problem 12.
A light rope is wrapped several times around a large wheel with a radius of 0.400 m. The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in Figure 10.47 . The free end of the rope is tied to a suitcase with a mass of 15.0 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.50 m/s when it reaches the ground. Calculate (a) the angular velocity of the wheel when the suitcase reaches the ground and (b) the moment of inertia of the wheel. Figure 10.47 Problem 12.
A light rope is wrapped several times around a large wheel with a radius of 0.400 m. The wheel rotates in frictionless bearings about a stationary horizontal axis, as shown in Figure 10.47. The free end of the rope is tied to a suitcase with a mass of 15.0 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.50 m/s when it reaches the ground. Calculate (a) the angular velocity of the wheel when the suitcase reaches the ground and (b) the moment of inertia of the wheel.
Figure 10.47
Problem 12.
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 .
Rank the six combinations of electric charges on the basis of the electric force acting on 91. Define forces pointing to the right as positive and forces pointing to the left as negative.
Rank in increasing order by placing the most negative on the left and the most positive on the right. To rank items as equivalent, overlap them.
▸ View Available Hint(s)
[most negative
91 = +1nC
92 = +1nC
91 = -1nC
93 = +1nC
92- +1nC
93 = +1nC
-1nC
92- -1nC
93- -1nC
91= +1nC
92 = +1nC
93=-1nC
91
+1nC
92=-1nC
93=-1nC
91 = +1nC
2 = −1nC
93 = +1nC
The correct ranking cannot be determined.
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most positive
Part A
Find the x-component of the electric field at the origin, point O.
Express your answer in newtons per coulomb to three significant figures, keeping in mind that an x component that points to the right is positive.
▸ View Available Hint(s)
Eoz =
Η ΑΣΦ
?
N/C
Submit
Part B
Now, assume that charge q2 is negative; q2 = -6 nC, as shown in (Figure 2). What is the x-component of the net electric field at the origin, point O?
Express your answer in newtons per coulomb to three significant figures, keeping in mind that an x component that points to the right is positive.
▸ View Available Hint(s)
Eoz=
Η ΑΣΦ
?
N/C
1. A charge of -25 μC is distributed uniformly throughout a spherical volume of radius 11.5 cm.
Determine the electric field due to this charge at a distance of (a) 2 cm, (b) 4.6 cm, and (c) 25 cm from
the center of the sphere.
(a) =
=
(b) E =
(c)Ẻ =
=
NC NC NC
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