A cube of side a and mass `m` is to be titled at point `A` by applying a force `F` as shown in figure. The minimum force required is

Block a of mass 4 kg is to be kept at rest against a smooth vertical wall by applying a force F as shown in figure. The force required is :- (g=10m//s^(2))

A system consists of t wo identical masses A and B of mass m each connected to ends of a massless spring of force constant k as shown in figure. The minimum force F applied vertically downward on A, such that on its release, B will leave the floor.

A block of mass 10 kg is held at rest against a rough vertical wall [mu=0.5] under the action a force F as shown in figure. The minimum value of F required for it is (g=10m//s^(2))

A block of mass m is suspended by different springs of force constant shown in figure.

A ring of mass m and radius R is acted upon by a force F as shown in the figure. There os sufficient friction between the ring and the ground. The force of friciton force necessary for pure rolling is

A mass m is placed inside a hollow sphere of mass M as shown in figure. The gravitaional force on mass m is

Three point masses m,m and 2m are placed on the vertex of an equilateral triangle of side 'a' Another point mass 'm' is placed at the centroid of the triangle as shown in the figure. If the magnitude of net force on the point mass placed at centroid is (KGm^2)/(a^2) then find the value of K (G= universal gravitational constant )

A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a lt R) by applying a force F at its centre O perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure ) . The minimum value of F required is :

Three identical cubes each of mass m are place on a smooth horizontal surface.A constant force F is applied on A as shown in the figure.The force on B applied by C is

Two blocks are in contact on a frictionless table. One has mass m and the other 2m. A force F is applied on 2m as shown in the figure. Now the same force F is applied from the right on m. In the two cases the ratio of force of contact between the two blocks will be