euree posted!!!!!!

5 Answers

1
hacker ·


as friction is absent!\so,

mgl/2[1-sin@]=1/2I(ic)w2

I(ic)=ml2/12+ml2cot2@/4

>w=√12g(1-sin@)/l(1+3cot2@)

1
hacker ·

@euree point out mistake in above solution y i m not getting same answer as you!!!!!!

1
rahul nair ·

u have neglected the Normal reactions exerted by the wall an the ground on the rod......

1
hacker ·

@rahul[i think u can see i have considered earth and rod as a system so i don't think that error is coz of normal reaction[3][3]]

plz post ur solution!

1
rahul nair ·

Eqns for com of rod:
(ax & ay are horizontal & vertical component of acc. respectively)

1.N1=max

2.N2-mg=may

Torque abt COM

3.
(N2cos@-N1sin@)l/2=ml\alpha2/12

x=lcos@/2, y=lsin@/2

Diff. twice

4.ax=l(\alphacos@-w2sin@)/2

5.ay=-l(\alphacos@+w2sin@)/2

solving these eqns,\alpha=3gcos@/2l

&use \alpha=w(dw/d\theta)

so w=√3g(1-sin@)/l

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