Copyright © 2018 John Wiley & Sons, Inc. and primarily advanced by Prof. A. Iskandar.

10-5 Calculating the Rotational Inertia (1 of 11) Link to heading

Learning Objectives

  • 10.20 Determine the rotational inertia of a body if it is given in Table 10-2.
  • 10.21 Calculate the rotational inertia of body by integration over the mass elements of the body.
  • 10.22 Apply the parallel-axis theorem for a rotation axis that is displaced from a p

10-6 Torque (1 of 6) Link to heading

Learning Objectives

  • 10.23 Identify that a torque on a body involves a force and a position vector, which extends from a rotation axis to the point where the force is applied.
  • 10.24 Calculate the torque by using (a) the angle between the position vector and the force vector, (b) the line of action and the moment arm of the force, and (c) the force component perpendicular to the position vector.
  • 10.25 Identify that a rotation axis must always be specified to calculate a torque.

10-6 Torque (2 of 6) Link to heading

  • 10.26 Identify that a torque is assigned a positive or negative sign depending on the direction it tends to make the body rotate about a specified rotation axis: “clocks are negative.”
  • 10.27 When more than one torque acts on a body about a rotation axis, calculate the net torque.

10-7 Newton’s Second Law for Rotation (1 of 8) Link to heading

Learning Objectives

  • 10.28 Apply Newton’s second law for rotation to relate the net torque on a body to the body’s rotational inertia and rotational acceleration, all calculated relative to a specified rotation axis.

10-8 Work and Rotational Kinetic Energy (1 of 9) Link to heading

Learning Objectives

  • 10.29 Calculate the work done by a torque acting on a rotating body by integrating the torque with respect to the angle of rotation.
  • 10.30 Apply the work-kinetic energy theorem to relate the work done by a torque to the resulting change in the rotational kinetic energy of the body.
  • 10.31 Calculate the work done by a constant torque by relating the work to the angle through which the body rotates.
  • 10.32 Calculate the power of a torque by finding the rate at which work is done.
  • 10.33 Calculate the power of a torque at any given instant by relating it to the torque and the angular velocity at that instant.

Summary (1 of 7) Link to heading

  • Angular Position
  • Angular Displacement
  • Angular Velocity and Speed
  • Angular Acceleration
  • Kinematic Equations
  • Linear and Angular Variables Related
  • Rotational Kinetic Energy and Rotational Inertia
  • The Parallel-Axis Theorem
  • Torque
  • Newton’s Second Law in Angular Form
  • Work and Rotational Kinetic Energy

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