Question # A ball connected with string is released at an angle ( 45^{circ} ) with the vertical as shown in the figure. Then the acceleration of the box at this instant will be (mass of the box is equal to mass of ball):

# A ball connected with string is released at an angle ( 45^{circ} ) with the vertical as shown in the figure. Then the acceleration of the box at this instant will be (mass of the box is equal to mass of ball):

(a) ( g / 4 )

(b) ( g / 3 )

(c) ( g / 2 )

(d) ( g )

Solution

( T cos 45^{circ}=m g )

( T sin 45^{circ}=m a )

( Rightarrow tan 45^{circ}=frac{a}{g} )

( a=g )