SHM doubts

Q1. A small spherical ball of mass m and radius r rolls in a concave surface of radius R with sufficient friction. Find the time period of the resulting SHM.

Q2. A body of mass m and specific gravity d(>1) floats in water. The temperature of both the body and the water is increased by T. The coefficient of linear expansion of the body is α and volume expansion of water is γ .
(i) Find the initial time period.
(ii) What is the new fraction of the body that is immersed in water at equilibrium
(iii) What is the new time period in terms of the original time period?

39 Answers

62
Lokesh Verma ·

Asish..

1st one try Energy method :)

106
Asish Mahapatra ·

priyam... energy method me kahaan galti hua hai???

33
Abhishek Priyam ·

dekhte hain....energy method in SHM bhool gaye hainn ;)

62
Lokesh Verma ·

you have made a mistake in

wr

it is actually w(R-r)

33
Abhishek Priyam ·

v=ωr
hi hoga..
.

confusion arose bcause there are two ω
one is v=ω2r
another v=ω1(R-r)

see the fig below...

33
Abhishek Priyam ·

there are two ω...

and writing its energy...
as far as i remember... writing this type of energy was discussed long back...

106
Asish Mahapatra ·

what is this two ω's and nishant bhaiyya ... y not v=wr .. as ive written wrt COM..

wat abt the second question??

33
Abhishek Priyam ·

the COM of ball is rotating about center of concave....

and ball is rolling..

106
Asish Mahapatra ·

and priyam .. y is v=w(R-r) and not v=wr .. is it bcz of the two w'??

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