Parallel axis theorem Definition and 57 Threads

  1. E

    Parallel axis theorem and moment of inertia

    Homework Statement A thin rectangular sheet of steel is 0.30m by 0.40m and has mass 0.470kg. Find the moment of inertia about an axis that is perpendicular to the plane of the sheet and that passes through one corner of the sheet. Homework Equations Parallel axis theorem: Ip = Icm +...
  2. P

    Moment of Inertia - parallel axis theorem

    A thin, uniform rod is bent into a square of side length "a". If the total mass is M, find the moment of inertia about an axis through the center and perpendicular to the plane of the square. Use the parallel-axis theorem. According to Parallel Axis theorem: I = I(cm) + Md^2 The...
  3. A

    When should the Parallel Axis Theorem be used in mechanics?

    I know what the parallel axis theorem is, but I'm a little confused about when to use it. I recently had a problem where a hoop was rolling down an incline where I used the parallel axis theorem to find the translational acceleration and got it correct. However, I had a problem about a spool...
  4. I

    What is the moment of inertia for a square rod using the parallel axis theorem?

    Hi all, I have run into a problem requiring the use of the parallel axis theorem. I'm kind of lost as to where to start. Can anyone help? A thin, uniform rod is bent into a square of side length a. If the total mass is M, find the moment of inertia about an axis through the center and...
  5. T

    Question of centre of mass and parallel axis theorem

    A puck of mass 80.0 g and radius 4.20 cm slides along an air table at a speed of 1.50 m/s. It makes a glancing collision with a second puck of radius 6.00 cm and mass 140.0 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the pucks...
  6. Z

    How Do You Apply the Parallel Axis Theorem to Two Spheres Connected by a Rod?

    Inertia - Parallel Axis Theorem Two spheres with masses M and m are connected by a rigid rod of length L and negligible mass as in Figure 10.22 (M is on the left end and m is on the right end). For an axis perpendicular to the rod, show that the system has the minimum moment of intertia when...
  7. A

    What Is the Correct Distance d in the Parallel Axis Theorem for a Cube's Edge?

    Could someone please help me with a particular question to this problem? Consider a cube of mass m with edges of length a. The moment of inertia I_0 of the cube about an axis through its center of mass and perpendicular to one of its faces is given by I_0 = 1/6ma^2. Find I_edge, the moment...
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