A cylinder of mass M c and sphere of mass M s are placed at points A and B of two inclines, respectively. (See figure). If they roll on the incline without slipping such that their accelerations are the same, then the ratio sin θ c sin θ s is :

Step-by-step solution

a = g sin θ 1 + I/ mR 2 a S = g sin θ s 1 + 2 / 5 a C = g sin θ C 1 + 1 / 2 Now, a S = a C g sin θ S 7 5 = g sin θ C 3 2 5 7 sin θ S = 2 3 sin θ C ∴ sin θ C sin θ S = 5 × 3 7 × 2 = 1 5 1 4