A mass -less stick of length 'b' has one end attached to a pivot and the other end glued perpendicularly to the middle of a stick of mass m and length $l$ .If two sticks are held in horizontal plane and then released,the initial acceleration of $C . M .$ is $\frac{7}{3} n g; n = ?$

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Solution

$m g . b = I x$
$= α = \frac{m g b}{I}$
$I$ (m.I of rod ) PQ about
$= m b^{2}$ (like particle)
$= α = \frac{m g b}{m b^{2}} = (\frac{g}{b})$
so,acceleration of cm i.e (pt.A)
= $G_{c m} = b α$
= $\frac{g}{b} b = g ↓$

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A mass -less stick of length 'b' has one end attached to a pivot and the other end glued perpendicularly to the middle of a stick of mass m and length l.If two sticks are held in horizontal plane and then released,the initial acceleration of C.M. is 73ng;n=?

mg.b=Ix=α=mgbII(m.I of rod ) PQ about=mb2(like particle)=α=mgbmb2=(gb)so,acceleration of cm i.e (pt.A)=Gcm=bα=gbb=g↓

A mass -less stick of length 'b' has one end attached to a pivot and the other end glued perpendicularly to the middle of a stick of mass m and length $l$ .If two sticks are held in horizontal plane and then released,the initial acceleration of $C . M .$ is $\frac{7}{3} n g; n = ?$

$m g . b = I x$
$= α = \frac{m g b}{I}$
$I$ (m.I of rod ) PQ about
$= m b^{2}$ (like particle)
$= α = \frac{m g b}{m b^{2}} = (\frac{g}{b})$
so,acceleration of cm i.e (pt.A)
= $G_{c m} = b α$
= $\frac{g}{b} b = g ↓$