A triangular wedge W having mass M is placed on an incline plane with its face AB horizontal. Inclination of the incline is `theta`. On the flat horizontal surface of the wedge there lies an infinite tower of rectangular blocks. Blocks 1, 2, 3, 4 ………. have masses `M , (M)/(2) , (M)/(4) , (M)/(8)` ......... respectively . All surfaces are smooth. Find the contact force between the block 1 and 2 after the system is released from rest. Also find the acceleration of the wedge.

A triangular wedge W having mass M is placed on an incline plane with

1.	A triangular wedge W having mass M is placed on an incline plane with its face AB horizontal. Inclination of the incline is `theta`. On the flat horizontal surface of the wedge there lies an infinite tower of rectangular blocks. Blocks 1, 2, 3, 4 ………. have masses `M , (M)/(2) , (M)/(4) , (M)/(8)` ......... respectively . All surfaces are smooth. Find the contact force between the block 1 and 2 after the system is released from rest. Also find the acceleration of the wedge.
Answer» Correct Answer - `N_(12) = (Mgcos^(2)theta)/(1 + 2 sin^(2)theta)` `a = (3g "sin"theta)/(1 + 2 sin^(2)theta)`

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