A wooden wedge of mass $$M$$ and inclination angle $$(\alpha)$$ rest on a smooth floor. A block of mass $m$ is kept on wedge. A force $$F$$ is applied on the wedge as shown in the figure such that block remains stationary with respect to wedge. So, magnitude of force $$F$$ is

A piece of ice slides down a rough inclined plane at $$45^{\circ}$$ inclination in twice the time that it takes to slide down an identical but frictionless inclined plane. What is the coefficient of friction between ice and incline?

A body of mass 5 kg is suspended by a spring balance on an inclined plane as shown in figure.

So, force applied on spring balance is

In the figure, blocks A and B of masses 2m and m are connected with a string and system is hanged vertically with the help of a spring. Spring has negligible mass. Find out magnitude of acceleration of masses 2m and m just after the instant when the string is cut