According to the data given in figure, x = ?

Ramesh and Mahesh solve an equation. In solving Ramesh commits a mistake in constant term and finds the roots 8 and 2. Mahesh commits a mistake in the coefficient of x and finds the roots – 9 and – 1. The correct roots are

Here we were given that in solving Ramesh commits a mistake in constant term and finds the roots 8 and 2. Many might create incorrect quadratic equations using the provided roots because they don't multiply carefully, which results in errors in one of the equation's signs. So the solution is 9, 1.

Three particles, each of mass m, are placed at the corners of right angled triangle as shown in Fig. If OA=a and OB=b, the position vector of the centre of mass is (here i and j are unit vectors along and axes respectively).

Four point masses and are placed on a plane as shown in figure. If the co-ordinates of the centre of mass of the system be then the values of and are respectively

Two blocks of equal mass m are connected by an unstretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force F is applied on the first block ' A ' pulling it away from the other block 'B' as shown in figure at t=0. Extension of the spring is at time t.
Displacement of the centre of mass at time t is

Two identical blocks of length L are piled on top of the other on a table as shown in the figure. The maximum distance S the top brick can overhang the table with the system still balanced, is

A long, thin, inextensible and very flexible uniform wire is lying on the rough horizontal floor. One end of the wire is bent back and then pulled backwards with constant velocity V such that, at any instant of time, the moving part of the wire always remains just above the part of the wire which is still at rest at that instant on the floor as shown in diagram. If the wire has unit length and unit mass then,

A smooth semicircular tube AB of radius r is fixed in a vertical plane and contains a heavy flexible chain of length and weight per unit length 'w' as shown. Assuming a slight disturbance to start the chain. in motion, the velocity v with which it will emerge from the open end B of the tube is

Two persons of mass and are standing at the two ends A and B respectively of a trolley of mass M as shown When both the persons jump simultaneously with same speed then:

From the previous question in the reference frame attached to the center f inertia, the total kinetic energy of the two particles is

A closed system consists of two particles of masses and which move at right angles to each other with velocities and . In the reference frame attached to the center of inertia, the magnitude of momentum of each particle is

A man of mass m is standing on a platform of mass M kept on smooth ice. If the man starts moving on the platform with a speed v relative to the platform, with what velocity relative to the ice does the platform recoil?

A boy having a mass of M kg stands at one end A of a boat of length dm at rest. The boy walks to the other end B of the boat with a velocity u relative to the boat. What is the velocity of the boat? Friction exists between the feet of the boy and the surface of the boat. But the friction between the boat and the water surface may be neglected. Mass of the boat is 4 m

A equilateral triangular, square and circular plates of same thickness and made up of different materials are arranged is shown in figure.
The ratio of their respective densities are . The centre of mass of the arrangement lies

The centre of mass of a triangular lamina of uniform density of height h is

A semi-circular plate of radius R has density , where is the distance from centre. The position of centre of mass from 0 is