A cubical block of side a is moving with velocity V on a horizontal smooth plane as shown in figure. It hits a ridge at point O. The angular speed of the block after it hits 0 is

A uniform rod of length 2 L is placed with one end in contact with horizontal and is then inclined at an angle  to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be.....

If the sides of a triangle are in the ratio  then greatest angle is

A straight rod of length L has one of its ends at the origin and the other end at x=L If the mass per unit length of rod is given by Ax where A is constant where is its center of mass.

In  then 

s denotes the semi-perimeter of the triangle ABC, ∆ its area and R the radius of the circle circumscribing the triangle ABC i.e., R is the circum-radius.

A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centrer is 3.2 cm, what is the shift in the center of mass of the disc...

Let  be the moment of inertia of a uniform square plate about an axis AB that passes through its center and is parallel to two of its sides CD is a line in the plane of the plate that passes through the center of the plate and makes an angle of Q with AB. The moment of inertia of the plate about the axis CD is then equal to....

If is positive, then  lies between

If  then the Δ^k is

If then =

If and , then

In a If then

Assertion (A): If then 
Reason (R): If then

Concentrations of the atmospheric have been rising becaue of

Two disc of same thickness but of different radii are made of two different materials such that their masses are same. The densities of the materials are in the ratio 1:3. The moment of inertia of these disc about the respective axes passing through their center and perpendicular to their planes will be in the ratio

of (alum) can be replaced by