Two blocks A and B of mass 2 kg and 4 kg are placed one over the other as shown in Fig. (a) . A time varying horizontal force F = 2t is applied on the upper block . Here t is in second and F is in newton . A graph drawn between accelerations of A and B on y-axis and time on x-axis is shown in Fig. (b) . Then tan `theta = (1)/(K)` , K = .....

Answer

3

Explanation

Acceleration of block A and B
`a_(C) = (2t)/((m_(A) + m_(B)) = ((2t)/(6))`
tan `theta = (a)/(t) = (1)/(3) = (1)/(K)`
`therefore " " K = 3 `