#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# L-Shaped object consisting of two rods, each of length l and mass m, about an axis passing through the end-point of one of the rods and perpendicular to the plane of the LCalculate the moment of inertia

Swapnil Saxena
102 Points
9 years ago

Hi Siddhant,

Lets first calculate the moment of inertia of the system about an axis passing through the common-point of one of the rods and perpendicular to the plane of the L

Then the moment of inertia = 2*(ML2/3) (where ML2/3 is the moment of inertia of one rod about an axis passing about one of its endpoints)

Using Parallel Axis Theorm

Moment of Inertia of the sytem about an axis passing through the end-point of one of the rods and perpendicular to the plane of the L

= I + Md2 (where d is the distance of the initail and final axis of rotation)

Here D= L (length of the rod)

then Moment of Inertia = 2(ML2)/3 + ((2M)L2) = 8(ML2)/3

Swapnil Saxena
102 Points
9 years ago

Sorry for the calculation mistake, The moment of inertia = (2/3) ML2 + (ML2) = 5ML2/3

ankit singh
11 months ago

calculate the moment of inertia of the system about an axis passing through the common-point of one of the rods and perpendicular to the plane of the L

Then the moment of inertia = 2*(ML2/3) (where ML2/3 is the moment of inertia of one rod about an axis passing about one of its endpoints)

Using Parallel Axis Theorm

Moment of Inertia of the sytem about an axis passing through the end-point of one of the rods and perpendicular to the plane of the L

= I + Md2 (where d is the distance of the initail and final axis of rotation)

Here D= L (length of the rod)

The moment of inertia = (2/3) ML2 + (ML2) = 5ML2/3