Question
Asked Mar 31, 2019
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2a.
2b.
2c.
Define center of mass, rem and rotational inertia I
State the parallel axis theorem for rotational inertia.
Consider a rigid structure made up of a solid sphere of mass ms and a solid cylinder of
mass me connected by a solid rod of mass mr (see figure 2). Suppose this system is set
into a rotational motion through the center of mass perpendicular to the z axis of the
system. Find the rotational inertia of the system.
ms
码a.
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2a. 2b. 2c. Define center of mass, rem and rotational inertia I State the parallel axis theorem for rotational inertia. Consider a rigid structure made up of a solid sphere of mass ms and a solid cylinder of mass me connected by a solid rod of mass mr (see figure 2). Suppose this system is set into a rotational motion through the center of mass perpendicular to the z axis of the system. Find the rotational inertia of the system. ms 码a.

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Expert Answer

Step 1

(2a)

Center of mass:

Center of mass of a system is defined as a single point at which the whole mass of the system is imagined to be concentrated and all the applied forces acts at that point.

Center of mass of body depends on its geometrical shape. If a system is symmetrical and uniform composition, the center of mass will be located at its geometrical center.

Step 2

For example:

  • Center of mass of square is at the point of intersection of its diagonals.
  • Center of mass of a rigid bar is the middle point.

Write the expression for center of mass of the system.

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Step 3

Rotational inertia:

Rotational inertia of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational ax...

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Physics

Centre of Mass and Centre of Gravity

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