Please answer 10,11,12 please Refer to the following figure when answering items 10, 11, and 12.mm(a)rotation through its center(b) a barbell with an axis ofrotation through one enda barbell with an axis of-2R-| = 2MR2| = 4MR2(a)(b)10. Comparing the two cases above with different axis of rotation, we can say thatA. it is 2 times more difficult to rotate the barbell about its center than at one end.B. it is 2 times more difficult to rotate the barbell about the end than at the center.C. it is 4 times more difficult to rotate the barbell about its center than at one end.D. it is 4 times more difficult to rotate the barbell about the end than at the center.11. If M = 10.0 kg, R = 1.00 m, and the mass of the bar is negligible, then the moment of inertiaof rotating the barbell about the center isA. 10.0 kg.m2B. 20.0 kg.m2C. 30.0 kg.m2D. 40.0 kg.m212. Particularly for the example above,A. moving the axis of rotation farther from the center makes it easier to rotate the barbell.B. moving the axis of rotation to any point on the barbell will still give the same momentof inertia.C. moving the axis of rotation farther from the center makes it more difficult to rotate thebarbell.D. moving the plates from the ends towards the center makes it more difficult to rotate thebarbell.

10) option B is correct Since moment of inertia about axis at one end is 2 times so it is more…

Answered: m (a) a barbell with an axis of…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 24PQ

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Which of the entries in Table 10.2 applies to finding the moment of inertia (a) of a long, straight sewer pipe rotating about its axis of symmetry? (b) Of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? (c) Of a uniform door turning on its hinges? (d) Of a coin turning about an axis through its center and perpendicular to its faces?
Repeat Example 10.15 in which the stick is free to have translational motion as well as rotational motion.
Answer yes or no to the following questions. (a) Is it possible to calculate the torque acting on a rigid object without specifying an axis of rotation? (b) Is the torque independent of the location of the axis of rotation?
Big Ben, the Parliament tower clock in London, has an hour hand 2.70 m long with a mass of 60.0 kg and a minute hand 4.50 m long with a mass of 100 kg (Fig. P10.17). Calculate the total rotational kinetic energy of the two hands about the axis of rotation. (You may model the hands as long, thin rods rotated about one end. Assume the hour and minute hands are rotating at a constant rate of one revolution per 12 hours and 60 minutes, respectively.) Figure P10.17 Problems 17, 49, and 66.
Four objectsa hoop, a solid cylinder, a solid sphere, and a thin, spherical shelleach have a mass of 4.80 kg and a radius of 0.230 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in Table 8.1. (b) Suppose each object is rolled down a ramp. Rank the translational speed of each object from highest to lowest, (c) Rank the objects rotational kinetic energies from highest to lowest as the objects roll down the ramp.
An automobile engine can produce 200Nm of torque. Calculate the angular acceleration produced if 95.0 of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0-kg disk that has a 0.180-m radius. The walls of each tire act like a 2.00-kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0-kg hoop of radius 0.330 m. The 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.
Problems 11 and 12 are paired. A thin disk of radius R has a nonuniform density = 4.5r2, when r is in meters. Derive an expression for the rotational inertia of this disk around an axis through its center and perpendicular to the disks surface, assuming R is given in meters.
Figure P10.41 shows a side view of a car tire before it is mounted on a wheel. Model it as having two side-walls of uniform thickness 0.635 cm and a tread wall of uniform thickness 2.50 cm and width 20.0 cm. Assume the rubber has uniform density 1.10 103 kg/m3. Find its moment of inertia about an axis perpendicular to the page through its center. Figure P10.41
Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.
Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23
An automobile engine can produce 200 N m of torque. Calculate the angular acceleration produced if 95.0% of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0 kg disk that has a 0.180 m radius. The walls of each tire act like a 2.00-kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0-kg hoop of radius 0.330 m. The 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.
Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicular to its length (I=Ml2/3) , prove that the moment of inertia of a rod rotated about an axis through its center perpendicular to its length is I=Ml2/12 . You will find the graphics in Figure 10.12 useful in visualizing these rotations.

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