2. You are to compare the gyradius of four (4) solid, homogeneous iron cylinders about their longitudinal axis. Which of the following is FALSE? 2a 2a L 2L 2L Cylinder E Cylinder F Cylinder G Cylinder H Hint: Divide the formula for the mass moment of inertia of the cylinder by mass m then get the square root. You will find which dimension(s) matters for gyradius. k_E = k_H k_G

2. You are to compare the gyradius of four (4) solid, homogeneous iron cylinders about their longitudinal axis. Which of the following is FALSE? 2a 2a L 2L 2L Cylinder E Cylinder F Cylinder G Cylinder H Hint: Divide the formula for the mass moment of inertia of the cylinder by mass m then get the square root. You will find which dimension(s) matters for gyradius. k_E = k_H k_G

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotation Of A Rigid Object About A Fixed Axis

Section: Chapter Questions

Problem 42AP: Review. A spool of wire of mass M and radius R is unwound under a constant force F (Fig. P10.42)....

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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
A rigid body is rotating counterclockwise about a fixed axis. Each of the following pairs of quantities represents an initial angular position and a final angular position of the rigid body. Which of the sets can occur only if the rigid body rotates through more than 180? (a) 3 rad, 6 rad; (b) 1 rad, 1 rad; (c) 1 rad, 5 rad.
A rigid body is rotating counterclockwise about a fixed axis. Each of the following pairs of quantities represents an initial angular position and a final angular position of the rigid body. Which of the sets can occur only if the rigid body rotates through more than 180? (a) 3 rad, 6 rad; (b) 1 rad, 1 rad; (c) 1 rad, 5 rad.
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
What are the necessary conditions for equilibrium of the object shown in Figure P12.1? Calculate torques about an axis through point O.
Review. A small object with mass 4.00 kg moves counterclockwise with constant angular speed 1.50 rad/s in a circle of radius 3.00 m centered at the origin. It starts at the point with position vector 3.00im. It then undergoes an angular displacement of 9.00 rad. (a) What is its new position vector? Use unit-vector notation for all vector answers. (b) In what quadrant is the particle located, and what angle does its position vector make with the positive x axis? (c) What is its velocity? (d) In what direction is it moving? (e) What is its acceleration? (f) Make a sketch of its position, velocity, and acceleration vectors. (g) What total force is exerted on the object?
A uniform cylindrical grinding wheel of mass 50.0 kg and diameter 1.0 m is turned on by an electric motor. The friction in the bearings is negligible. (a) What torque must be applied to the wheel to bring it from rest to 120 rev/min in 20 revolutions? (b) A tool whose coefficent of kinetic friction with the wheel with a force of 40.0 N. What torque must be supplied by the motor to keep the wheel rotating at a constant angular velocity?
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A uniform, thin, solid door has height 2.20 m, width 0.870 m, and mass 23.0 kg. (a) Find its moment of inertia for rotation on its hinges, (b) Is any piece of data unnecessary?
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