Statistics Test...

A horizontal rod AB is suspended at its ends by two vertical strings. The rod is of length 0.6m and weights 3 Newton. Its centre of gravity G is at a distance 0.4 m from A. Then the tension of the string at A is

A uniform rod BC of length 6 cm and weight 2 kg can turn freely about the fixed point B. The rod is attached to the point A by a string AC of length 8 cm. The points A and B are in a horizontal line at a distance 10 cm. The tension in the string is

Three forces P, Q and R act along the sides BC, AC and BA of an equilateral triangle ABC. If their resultant is a force parallel to BC through the centroid of the triangle ABC, then

A body of mass 10 kg is suspended by two strings 7 cm and 24 cm long, their other ends being fastened to the extremities of a rod of length 25 cm. If the rod be so held that the body hangs immediately below its middle point, then the tension of the strings in kg-wt are

A weight of 10 N is hanged by two ropes as shown infig,. the tensions T₁ and T₂are

A ladder 20 ft long is resting against a smooth vertical wall at an angle of 30° with it. Its foot lies on a rough ground with coefficient of friction 0.3. If the weight of the ladder is 30 kg, then a man of 60 kg weight can climb on the ladder upto the height of

A uniform rod of length 2l and weight W is lying across two pegs on the same level \'a\' ft apart. If neither peg can bear a pressure greater than P, then the greatest length of the rod which may be projected beyond either peg is

A heavy rod ACDB, where AC = a and DB = b rests horizontally upon two smooth pegs C and D. If a load P were applied at A, it would just disturb the equilibrium. Similar would do the load Q applied to B. If CD = c, then the weight of the rod is

If Var (x) = 8.25, Var (y) = 33.96 and Cov (x, y) = 10.2, then the correlation coefficient is

When the origin is changed, then the coefficient of correlation