Flag Mechanics> angular velocity...
question mark

A mass m can rotate with angular velocity w1 on a smooth horizontal table being attached to a spring whose other end having passes through a hole in the table, supports another mass m.This other mass turns around as a conical pendulum with angular velocity w2. if l1 and l2 are the lengths of the string on and below table thena)l1:l2=w1^2:w2^2b)l1:l2=w2^2:w1^2c)l1:l2=w1:w2d0 none

kritika agrawal , 13 Years ago
Grade 11
anser 1 Answers
Ashwin Muralidharan IIT Madras

Last Activity: 13 Years ago

Hi Kritika,

 

Let "x" be the elongation in the spring.

 

So for the mass above the table

Kx = ml1w12

 

And for the mass below the table, let "Q" be the angle made by the spring with the vertical.

So kxsinQ = mrw22.

From the right triangle l2sinQ = r

So kxsinQ = m(l2sinQ)w22.

 

Hence l1:l2 = w22:w12.

 

Optoin (B)

 

Hope that helps.

 

Best Regards,

Ashwin (IIT Madras).

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...