rotational equations


if the system is slightly disturbed the rod starts falling down in the direction of the block,
form equations to find velocity of block at the instant it leaves contact with the ball

(i have solved this one....but just posted for others)
(hint-frame all equations possible first)

7 Answers

1
Arshad ~Died~ ·

soooooo long and still no reply..........
ne one???

24
eureka123 ·

eqns..
At angle @ from vertical. (clockwise)
T+Nsin@+mgcos@=m.ac
&& mgsin@-Ncos@=m.at

1
Arshad ~Died~ ·

where did T come from/.....its a masless rod

24
eureka123 ·

Also constraint eqn.
accos@+a=atsin@

a=acc of block

and one energy eqn too
mgl(cos@-1)+1/2 Iω2+1/2Mv2=0

24
eureka123 ·

so what its massless ????
its a rigid rod anyways...so there will be force exerted by it..net force obviously zero

1
Arshad ~Died~ ·

my equations(see it only after u have solved it)
let the rod make angle @ with the horizontal when ball leaves contact
and angular acceleration be a
and angular velocity be w
then
0=lasin@-l(w^2)cos@............1
mg(l-lsin@)=(m(l^2))(w^2)/2 + M(v^2)/2..........2
mglcos@=m(l^2)a.........3
v=lwsin@..............4

p.s. dont cheat

1
Arshad ~Died~ ·

@ eureka
wat u have to understand in the first one is that after it leaves contact with the block the velocity of x direction becomes 0............

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