Cylinder and Spring Question

A solid cylinder of mass m is placed on a rough horizontal surface and a spring of stiffness k is connected to the point A at the same level as the centre O of the cylinder.
OA and OB lie in a plane perpendicular to the axis of the cylinder.
In the equilibrium position, the spring is at its natural length.

1. The cylinder is given a small displacement and it is found to perform oscillations without slipping. The angular frequency of these oscillations are????

2.The cylinder is allowed to oscillate while rolling and its amplitude is increased till it is on the verge of slipping. The maximum potential energy, stored in the spring during the motion equals 1/9th of the energy stored, were the cylinder to be suspended by it in equilibrium. The coefficient of static friction, μ, between the cylinder and the plane equals???

30 Answers

1
skygirl ·

yeah it is 3/2 [3]

3
iitimcomin ·

sunil watz da answer!!!!!!!!!!!!!!!!!!

3
iitimcomin ·

im gettin a very simple answer..............................
w=√k/m....................

many of u above hav neglected frictional force!!!!!!!!!!!

11
Sunil Kumar ·

kisiko answer nahi aaya.........

1
chinmay ·

what's the answer??

11
Sunil Kumar ·

Has anyone of u has got the answer??
And please do explain how do got that......

33
Abhishek Priyam ·

bhula gaye the yaha [ 3 ] chalta hai..
[:P] nahi ... orkuttin habbit.. [3]

1
skygirl ·

abhi, haan mila.....

33
Abhishek Priyam ·

[:P]

39
Dr.House ·

aadat hain na didi

1
skygirl ·

oye..nahi mila abhi tak [3]

1
skygirl ·

woh bhi yahan batana tha...

btw, i realised jus now....

aur aits dene ke baad main hamesha ulta-sidha bakti hun [3]

1
skygirl ·

haan...

i saw it jus now...

33
Abhishek Priyam ·

and bhej diye.... nazare..

33
Abhishek Priyam ·

its cylinder.. solid one...

and if its sphere then it is wrong then also.. u have to take about point of contact not about COM..

11
Sunil Kumar ·

Hey is this question too tough to be solved?????

1
skygirl ·

oh yes i AM speaking nonsense...

it is solid cylinder [3]

33
Abhishek Priyam ·

its 3/2 so no conflicts now.. [1]

1
skygirl ·

kya hai matlab [3]

I for solid sphere...

am i talking nonsense??

33
Abhishek Priyam ·

2/3Mr2α

2/3 kya hai.. [7]

1
skygirl ·

mujhe kya pata !

main toh kii...

1
chinmay ·

@ sky.
I'm getting 2k/3m

1
skygirl ·

main aise hi ... sochi ...

chhoro force hi achha hai...

k(Rθ)R=- 2/3mR2 d2θ/dt2

=> kθ =- 2/3mα

=> α = -3k/2m θ

so w2 = 3k/2m

1
°ღ•๓яυΠ·

:D

1
skygirl ·

arey haan force hi achha hai....

1
chinmay ·

is the answer
w= √(2k)/(3m)

33
Abhishek Priyam ·

i also luv force method..

1
°ღ•๓яυΠ·

y nt force ?:(

1
skygirl ·

use energy method..

1
°ღ•๓яυΠ·

torque=Ialpha

torque =kx*l

l =natural lengthx=l/cos@-l

Your Answer

Close [X]