Conceptual Example 13 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and atr resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg · m2. When one person is standing on the carousel at a distance of 1.5 m from the'center, the carousel has an angular velocity of 0.6 rad/s. However, as this person moves inward to a point located 1.06 m from the center, the angular velocity increases to 0.8 rad/s. What is the person's mass? m = ---Select--- 123 GO Tutorial

Conceptual Example 13 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and atr resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg · m2. When one person is standing on the carousel at a distance of 1.5 m from the'center, the carousel has an angular velocity of 0.6 rad/s. However, as this person moves inward to a point located 1.06 m from the center, the angular velocity increases to 0.8 rad/s. What is the person's mass? m = ---Select--- 123 GO Tutorial

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 60P: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed...

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A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?
A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod’s center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod’s angular velocity when the beads reach the ends of the rod? (b) What is the rod’s angular velocity if the beads fly off the rod?
The position vector of a particle of mass 2.00 kg as a function of time is given by r=(6.00i+5.00tj), where r is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time.
The velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?
At time t = 0, a 1.73 kg particle has position vector r→=(5.00m)î-(3.00m)ĵ relative to the origin. Its velocity is given by v→=(-1.82t2m/s)î for t in seconds. About the origin with t = 15.9 s, what are (a) the particle's angular momentum and (b) the torque acting on the particle, both in unit-vector notation?
9.30 Four small spheres, eachof which you can regard as a pointof mass 0.200 kg, are arranged ina square 0.400 m on a side andconnected by extremely light rods Find the momentof inertia of the system about anaxis (a) through the center of thesquare, perpendicular to its plane(an axis through point O in the figure); (b) bisecting two oppositesides of the square (an axis along the line AB in the figure); (c) thatpasses through the centers of the upper left and lower right spheres andthrough point O.
A 5.37 kg toy car moves along an x axis with a velocity given by v→ = -4.65t3 î m/s, with t in seconds. For t > 0, what are (a) the angular momentum L→ of the car and (b) the torque τ→ on the car, both calculated about the origin?
Consider point objects each with mass 1.0 kg positioned at the corners ofan equilateral triangle with side 1.0 m. What is the total moment of inertiaof the point objects about an axis perpendicular to the triangle and passingthrough the center?
You are the technical consultant for an action-adventure film in which a stunt calls for the hero to drop off a 19-m-tall building and land on the ground safely at a final vertical speed of 5 m/s. At the edge of the building's roof, there is a 100-kg drum that is wound with a sufficiently long rope (of negligible mass), has a radius of 0.4 m, and is free to rotate about its cylindrical axis with a moment of inertia I0. The script calls for the 76-kg stuntman to tie the rope around his waist and walk off the roof. (a) Determine an expression for the stuntman's linear acceleration in terms of his mass m, the drum's radius r, and moment of inertia I0. (b) Determine the required value of the stuntman's acceleration if he is to land safely at a speed of 5 m/s.
A space station shapedlike a giant wheel hasa radius of 100 m anda moment of inertia of5.00 x 108 kg ? m2. A crewof 150 lives on the rim,and the station is rotatingso that the crew experiencesan apparent accelerationof 1g (Fig. P8.72).When 100 people moveto the center of the stationfor a union meeting, the angular speed changes. Whatapparent acceleration is experienced by the managers remainingat the rim? Assume the average mass of a crew member is65.0 kg.
A physics student with a moment of inertia of 0.600 kg·m2stands on a perfectlymassless, frictionless rotating platform. While at rest, she holds a bicycle wheel with amoment of inertia of 0.280 kg·m2, which is rotating clockwise as seen from above at 7.00rad/s. She turns the wheel upside-down. What is her angular velocity now and in whatdirection (as seen from above)?
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