Embibe Experts Solutions for Exercise 5: Exercise 4.5

In the arrangement shown, the relation between acceleration of wedge $1$ and wedge $2$ is

In the situation given, all surfaces are frictionless, pulley is ideal and string is light, $F=\frac{mg}{2},$ find the acceleration of block 2 .

A spring of force constant $k$ is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

In the arrangement shown, all surfaces are frictionless. The rod $R$ is constrained to move vertically. The vertical acceleration of $R$ is $a_1$ and the horizontal acceleration of the $W$ is $a_2.$ The ratio $\frac{a_1}{a_2}$ is equal to