Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 9, Problem 96P
To determine
To Calculate: The acceleration of the slab.
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In a long jump, an athlete leaves the ground with an initial angular momentum that tends to rotate her body forward, threatening to ruin her landing.To counter this tendency, she rotates her outstretched arms to “take up” the angular momentum (Fig. 11- 18). In 0.700 s, one arm sweeps through 0.500 rev and the other arm sweeps through 1.000 rev.Treat each arm as a thin rod of mass 4.0 kg and length 0.60 m, rotating around one end. In the athlete’s reference frame, what is the magnitude of the total angular momentum of the arms around the common rotation axis through the shoulders?
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Chapter 9 Solutions
Physics for Scientists and Engineers
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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?arrow_forwardFor a particle traveling in a straight line, are there any points about which the angular momentum is zero? Assume the line intersects the origin.arrow_forwardThe 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.arrow_forward
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- A uniform disk of mass m = 10.0 kg and radius r = 34.0 cm mounted on a frictionlessaxle through its center, and initially at rest, isacted upon by two tangential forces of equalmagnitude F, acting on opposite sides of itsrim until a point on the rim experiences acentripetal acceleration of 4.00 m/s2 (Fig.P13.73). a. What is the angular momentumof the disk at this time? b. If F = 2.00 N, howlong do the forces have to be applied to thedisk to achieve this centripetal acceleration? FIGURE P13.73arrow_forwardConsider the downhill race in Example 13.9 (page 372). The acceleration of a particle down an incline is aparticle = g sin ,where is the angle the incline makes with the horizontal.Show that the acceleration of a rolling object down an incline isgiven by aCM=aparticale1+farrow_forwardCan you assign an angular momentum to a particle without first defining a reference point?arrow_forward
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