Question

A uniform solid cylinder of diameter 14cm rolls with out slipping with angular velocity 25 rad/s . The cylinder suddenly contacts a plane inclined at an angle theta. The Value of theta which Brings the cylinder immediately to rest is ?

Answer 1

won't 90 degrees do?

Answer 2

oh wait.. that ll just bounce it back i guess

Answer 3

never mind!

Answer 4

Linear velocity before = wr = 25*0.07 = 1.75

let it remain in contact with plane for time dt,

then, (Nsinx)dt = m(1.75)

also, it stops rolling, then
Tdt = I(25)
where T=torque
=> (Ncosx)(0.07) dt= (1/2)m(0.07)^2 * 25

Divide both eqns