The ratio of earth’s orbital angular momentum (about the sun) to its mass is 4.4 × 10¹⁵ m²/s. The area enclosed by earth’s orbit is approximately

The figure shows a uniform smooth solid cylinder A of radius 4 m rolling without slipping on the 8 kg plank which in turn is supported by a fixed smooth surface. Block B, is known to accelerate down with 6 m/s².
(Take g = 10 m/s²)

What is the angular acceleration of the cylinder ?

If the bisector of angle A of a DABC meets BC at D and AB=c,BC=a CA=b then D divides BC in the ratio…

For such questions, we should know about angle bisector properties. While taking ratio, we have to careful that we are taking ratio of adjacent sides.

The circle passes through three vertices of a triangle is called…

For such questions, we should know different definitions related to circle and triangle.

The point which is equidistant from three vertices of a Dle is…

For such questions, we should know different definitions related to circle and triangle.

The distance of P (3, 5) from x-axis is

The distance of a point from any axis is given by the respective coordinate of the point.

The cartesian equation of the plane whose equation is where l,m are scalars is

If then

The Ratio in which divides the join of and is

The vector lies in the plane of the vectors and and bisects the angle between b and c. then which one of the following gives possible values of a and b

In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then:

A thin rigid uniform circular disc rolls without slipping on a horizontal rigid surface (or the ground). At a certain instant, its position w.r.t. ground frame is as shown in the figure.

A wheel is rolling on a horizontal plane. At a certain instant, it has velocity ‘v’ and acceleration ‘a’ of c.m. as shown in the figure. Acceleration of

A spool of wire rests on a horizontal surface as shown in figure. As the wire is pulled, the spool does not slip at contact point P. On separate trails, each one of the forces F₁, F₂, F₃ and F₄ is applied to the spool. For each of these forces the spool

A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v₀ and angular velocity w₀ as shown. The disc comes to rest after moving some distance to the right. It follows that

A thin rod of mass m and length is bent into a V-shaped frame at its mid point as shown in the figure. The moment of inertia of the system about an axis passing through O perpendicular to the plane of the frame is equal to