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Figure 10-27 shows three flat disks (of the same radius) that can rotate about their centers like merry-go-rounds. Each disk consists of the same two materials, one denser than the other (density is mass per unit volume). In disks 1 and 3, the denser material forms the outer half of the disk area. In disk 2, it forms the inner half of the disk area. Forces with identical magnitudes are applied tangentially to the disk, either at the outer edge or at the interface of the two materials, as shown. Rank the disks according to (a) the torque about the disk center, (b) the rotational inertia about the disk center, and (c) the
Figure 10-27 Question 10.
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Chapter 10 Solutions
Fundamentals of Physics Extended
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- A uniform disk with mass m = 8.75 kg and radius R = 1.41 m lies in the x-y plane and centered at the origin. Three forces act in the +y- direction on the disk: 1) a force 315 N at the edge of the disk on the +x-axis, 2) a force 315 N at the edge of the disk on the -y-axis, and 3) a force 315 N acts at the edge of the disk at an angle 0 = 38° above the -x-axis. +y +x F3 IF, F2arrow_forwardIn the construction of railroads, curvature of the track is measured in the following way. First a 100.0-ft-long chord is measured. Then the curvature is reported as the angle subtended by two radii at the endpoints of the chord. (The angle is measured by determining the angle between two tangents 100.0 ft apart; since each tangent is perpendicular to a radius, the angles are the same.) In modern railroad construction, track curvature is kept below 1.20°. What is the radius of curvature of a “1.20° curve”? answer in ftarrow_forwardA star rotates with a period of 30 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 1.0 x 104 km, collapses into a neutron star of radius 3.0 km. Determine the period of rotation of the neutron star.arrow_forward
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- Torque You are playing with the masking tape that came in your lab box. This tape has a thickness that is not small compared to the radius. You measure it and it has an outer radius of 6.40 cm and an inner radius of 3.95 cm. You weigh the tape roll and find that it has a mass of 79.5 g. Now you roll the tape like you would a hoop (Rolling tape 1 (00:05)). The video illustrates the idea of the motion - please do NOT use it for numerical values. You find that the tape starts from rest, and has a torque applied when you push on it with your finger. You push on the outer edge (perpendicular to the radial direction). This causes the tape to accelerate. After 0.75 seconds, you find that the tape has an angular velocity of 53.0 rpm (rotations / minute). What is the Force you applied to the tape to start the rotation? Your answer should have the following: 2 Decimal Places Correct SI Units Appropriate Signs for Vector quantity answers Answers must be in the following format: Written out and…arrow_forwardA spindle is wrapped with a very fine silk thread and is sitting initially at rest on a horizontal table. The outer radius of the spindle is 10cm and the total mass of the spindle with the thread is 100 grams. You begin to pull on the thread with a constant force at an angle of 90 degrees to radius of the spindle. The thread is applying this force a distance of 5 cm from the center of the spindle. After the spindle has rolled 1m without slipping the total kinetic energy is 2 joules and the angular velocity is 2 rads/sec. A. What is the moment of inertia of the spindle? Assuming that the distance from the center of the spindle the thread is pulling is constant and the thread's mass can be ignored. B. Assuming that the coefficient of static friction is 0.5, what is the force of tension on the thread?arrow_forwardProblem 9: A thin cylindrical ring starts from rest at a height hj = 75 m. The ring has a radius R = 46 cm and a mass M =2 kg. R h, h,arrow_forward
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