Statistics Test...

Forces of magnitudes 3, P, 5, 10 and Q Newton are respectively acting along the sides AB, BC, CD, AD and the diagonal CA of a rectangle ABCD, where AB = 4 m and BC = 3 m. If the resultant is a single force along the other diagonal BD then P, Q and the resultant are

The foot of a uniform ladder is on a rough horizontal ground and the top rests against a smooth vertical wall. The weight of the ladder is 400 unit. A man weighing 800 unit stands on the ladder at one quarter of its length from the bottom. If the inclination of the ladder to the horizontal is 30°, the reaction at the wall is

ABC is a uniform triangular lamina with centre of gravity at G. If the portion GBC is removed, the centre of gravity of the remaining portion is at G\'. Then GG\' is equal to

A light rod AB of length 30 cm rests on two pegs 15 cm apart. At what distance from the end A the pegs should be placed so that the reaction of pegs may be equal when weight 5W and 3W are suspended from A and Brespectively

The resultant of three forces represented in magnitude and direction by the sides of a triangle ABC taken in order with BC = 5 cm, CA = 5 cm, and AB = 8 cm, is a couple of moment

Two uniform solid spheres composed of the same material and having their radii 6 cm and 3 cm respectively are firmly united. The distance of the centre of gravity of the whole body from the centre of the larger sphere is

A smooth sphere is supported in contact with a smooth vertical wall by a string fastened to a point on its surface, the other end being attached to a point in the wall. If the length of the string is equal to the radius of the sphere, the tension of the string is

A rod can turn freely about one of its ends which is fixed. At the other end a horizontal force equal to half theweight of the body is acting. In the position of equilibrium, the rod is inclined to the vertical at an angle