Thank you for registering.

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

Please check your email for login details.
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

Particles of masses 1g,2g,3g....100g are kept at marks 1cm,2cm,3cm...100cm respectively on a metre scale.Find the moment of inertia ofthe system of particles about a perpendicular bisector of the metre scale.

Particles of masses 1g,2g,3g....100g are kept at marks 1cm,2cm,3cm...100cm respectively on a metre scale.Find the moment of inertia ofthe system of particles about a perpendicular bisector of the metre scale.

Grade:11

2 Answers

jimmyu wazir
6 Points
11 years ago

we know that moment of inertia of the particle of mass m and radius r  is mr^2 add up monent of inertia to all the particles u get a sequence,solve sequence to get ur answer like m(1+4+9+..............................

mn(n+1)/6 as u know sum of square of natural no is n(n+1)/6




 

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear niharika

perpendicular bisector will be at the mark 50 cm on the scale. 49 masses is pleced at one side of the scale at (1,2,3,4 ....49)

and 50 masses is placed at the other side of the scale at ( 51,52,53,54,......100) ,and one mass is placed at the 50th mark.

so moment of inertia I = 2* [m*12 + m*22 + m* 32 + .....m*492  ] + m* 502

                                 =2m[49(49+1)(98+1)/6  + m *2500

                                 =83350m    g cm2

Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you
the answer and detailed  solution very  quickly.

 We are all IITians and here to help you in your IIT JEE preparation.

All the best.
 
Regards,
Askiitians Experts
Badiuddin

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free