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 ?

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 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 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 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 $Error converting from MathML to accessible text.$ where l,m are scalars is

If $Error converting from MathML to accessible text.$ then $Error converting from MathML to accessible text.$

The Ratio in which $Error converting from MathML to accessible text.$ divides the join of $Error converting from MathML to accessible text.$ and $Error converting from MathML to accessible text.$ is

The vector $Error converting from MathML to accessible text.$ lies in the plane of the vectors $Error converting from MathML to accessible text.$ and $Error converting from MathML to accessible text.$ 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 $l$ 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

A thin hollow sphere of mass m is completely filled with an ideal liquid of mass m. When the sphere rolls with a velocity v kinetic energy of the system is equal to