Question

Hep Needed! (see attachment)

Answer 1

using COME
\[mgr(1-\cos (\theta))=1/2mv ^{2}\]
\[\sqrt{2gr(1-\cos(\theta)}=v\]
now impose cond that pendulum swing comp circle
\[v =\sqrt{5g(r-d)}\]
eqating both
\[2r(1-\cos( \theta))=5(r-d)\]
get d frm here

substitute values
and get
ans

Answer 2

I believe the 5 in the equations above should be a 4. Additionally it seems to me that that the eq\[v=\sqrt{5g(r-d)}\] is based on the conservation of energy in this case all the kinetic energy of the mass as it strikes the peg is converted to potential energy at the top of the rotation leaving no kinetic energy at the top so the mass drops (v=0) and does not swing around the peg in a full circle a sthe problem requires. ???.

Answer 3

No
if it was 4 then there could not be enough tension in the string to reach topmost point
u can derive it mathematically

Answer 4

Could you please show me?

Answer 5

geerky42,
I posted a complete solution the day before yesterday did you have an issue with it?