Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 10, Problem 56SP
Compute the radius of gyration of a solid disk of diameter 24 cm about an axis through its center of mass and perpendicular to its face.
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In a playground, there is a small merry-go-round of radius 1.60 m and mass 150 kg. Its radius of gyration is 1.20 m. A child of mass 42.0
kg runs at a speed of 2.50 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on.
Neglect friction between the bearings and the shaft of the merry-go-round. Calculate (a) the rotational inertia of the merry-go-round
about its axis of rotation, (b) the magnitude of the angular momentum of the running child about the axis of rotation of the merry-go-
round, and (c) the angular speed of the merry-go-round and child after the child has jumped on.
(a) Number
i
Units
(b) Number
i
Units
(c) Number
i
Units
In a playground, there is a small merry-go-round of radius 4.50 m and mass 160 kg. Its radius of gyration is 3.10 m. A child of mass 31.0 kg runs at a speed of 3.80 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on. Neglect friction between the bearings and the shaft of the merry-go-round. Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the angular momentum of the running child about the axis of rotation of the merry-go-round, and (c) the angular speed of the merry-go-round and child after the child has jumped on.
In a playground, there is a small merry-go-round of radius 4.50 m and mass 160 kg. Its radius of gyration is 3.10 m. A child of mass 31.0 kg runs at a speed of 3.80 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on. Neglect friction between the bearings and the shaft of the merry-go-round. Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the angular momentum of the running child about the axis of rotation of the merry-go-round, and (c) the angular speed of the merry-go-round and child after the child has jumped on.
I just need (a) I know (b) is 530 and (c) is 0.245. (A) isn't 2165.4.
Chapter 10 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 10 - 29. A homogeneous cylinder of radius R and mass m...Ch. 10 - 30. A uniform homogeneous solid disk lies in a...Ch. 10 - 31. A uniform homogeneous solid disk having a...Ch. 10 - 32. Picture a rigid rod of length L having...Ch. 10 - 33. Suppose we put a third tiny sphere of mass m...Ch. 10 - 34. Consider the arrangement in the previous...Ch. 10 - 10.35 [I] A flat uniform homogeneous disk is...Ch. 10 - 10.36 [II] A uniform homogeneous rod of length L...Ch. 10 - 10.37 [II] A uniform homogeneous rod of length L...Ch. 10 - Prob. 38SP
Ch. 10 - 10.39 [I] A force of 200 N acts tangentially on...Ch. 10 - 10.40 [I] An 8.0-kg wheel has a radius of gyration...Ch. 10 - 10.41 [II] Determine the constant torque that must...Ch. 10 - 10.42 [II] A 4.0-kg wheel of 20-cm radius of...Ch. 10 - 10.43 [II] Compute the rotational KE of a 25-kg...Ch. 10 - 10.44 [II] A cord 3.0 m long is wrapped around the...Ch. 10 - 45. A 500-g wheel that has a moment of inertia of...Ch. 10 - 46. When 100 J of work is done on a stationary...Ch. 10 - 47. A 5.0-kg wheel with a radius of gyration of 20...Ch. 10 - 48. An electric motor runs at 900 rpm and delivers...Ch. 10 - 49. The driving side of a belt has a tension of...Ch. 10 - 10.50 [III] A 25-kg wheel has a radius of 40 cm...Ch. 10 - 10.51 [III] A wheel and axle having a total moment...Ch. 10 - 52. A solid uniform homogeneous disk of radius r...Ch. 10 - 53. A 20-kg solid disk (I = Mr2) rolls on a...Ch. 10 - 10.54 [II] A 6.0-kg bowling ball starts from rest...Ch. 10 - 10.55 [II] A tiny solid ball rolls without...Ch. 10 - 10.56 [I] Compute the radius of gyration of a...Ch. 10 - 10.57 [I] Figure 10-13 shows four masses that are...Ch. 10 - 10.58 [I] Determine the moment of inertia (a) of a...Ch. 10 - 10.59 [II] Rod OA in Fig. 10-14 is a meterstick....Ch. 10 - Prob. 60SPCh. 10 - 10.61 [II] A large horizontal disk is rotating on...Ch. 10 - 10.63 [II] A 90-kg person stands at the edge of a...
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