Question

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` respectively, then

A. `2sqrt(3)a_(y)=sqrt(3)alphal+2a_(x)`
B. `sqrt(3)_(y)=sqrt(3) alphal+a_(x)`
C. `a_(y)=sqrt(3)alphal+2a_(x)`
D. `2a_(y)=alphal+2sqrt(3)a_(x)`

Answer 1

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