Home
Class 12
PHYSICS
Use the parallel axis theorem to find th...

Use the parallel axis theorem to find the moment of inertia ofa uniform rod of mass M = 3kg and length 2a (a = 1m), about a perpendicular axis through one end?

Text Solution

AI Generated Solution

To find the moment of inertia of a uniform rod of mass \( M = 3 \, \text{kg} \) and length \( 2a \) (where \( a = 1 \, \text{m} \)) about a perpendicular axis through one end, we can use the parallel axis theorem. Here’s a step-by-step solution: ### Step 1: Identify the parameters We have: - Mass of the rod, \( M = 3 \, \text{kg} \) - Length of the rod, \( L = 2a = 2 \times 1 \, \text{m} = 2 \, \text{m} \) ### Step 2: Moment of inertia about the center of mass ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|20 Videos
  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE-1|4 Videos
  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos

Similar Questions

Explore conceptually related problems

Calculate the moment of inertia of a rod of mass M, and length l about an axis perpendicular to it passing through one of its ends.

Calculate the moment of inertia of a rod of mass 2 kg and length 5 m about an axis perpendicular to it and passing through one of its ends.

The moment of inertia of a straight thin rod of mass M and length l about an axis perpendicular to its length and passing through its one end, is

Find the moment of inertia, about a diameter, of a uniform ring of mass M = 8kg and radius a = 1m?

Find the moment of inertia of a uniform square plate of mass M and edge of length 'l' about its axis passing through P and perpendicular to it.

Calculate the moment of inertia of a uniform rod of mass M and length l about an axis passing through an end and perpendicular to the rod. The rod can be divided into a number of mass elements along the length of the rod.

The moment of inertia of a thing uniform rod of length L and mass M , about axis CD (as shown in figure) is

The moment of inertia of a cube of mass M and edge length a about an axis passing through one of its edge is

The moment of inertia of a uniform rod of mass 0.50 kg and length 1 m is 0.10 kg m^2 about a line perpendicular to the rod. Find the distance of this line from the middle point of the rod.

The moment of inertia of a uniform rod of length 2l and mass m about an axis xy passing through its centre and inclined at an enable alpha is