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In Fig. a massive rod AB is held in hori...

In Fig. a massive rod `AB` is held in horizontal position by two massless strings. If the string at `B` breaks and if the horizontal acceleration of centre of mass, vertical acceleration and angular acceleration of rod about the centre of mass are `a_x,a_y`and 'alpha' respectively, then

A

a. `2sqrt(3)a_(y)=sqrt(3)alphal+2a_(x)`

B

b. `sqrt(3)_(y)=sqrt(3) alphal+a_(x)`

C

c. `a_(y)=sqrt(3)alphal+2a_(x)`

D

d. `2a_(y)=alphal+2sqrt(3)a_(x)`

Text Solution

Verified by Experts

The correct Answer is:
D
Acceleration of point `A` along the string is zero. Therefore
`a_(x)cos30^@-a_(y)cos60^@+(alphal)/2cos60^@=0`
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