If $$\alpha $$ is the angular acceleration of a compound pendulum whose angular displacement is $$\theta $$, the frequency of the motion is

A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are

When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are

The motion of a particle is described by the relation x = t2 - 10t + 30, where x is in meters and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be

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