81.
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

82.
A rope is wrapped twice around a rough pole with a coefficient of friction $$\mu $$ . It is subjected to a force F1 at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to F1 is

83.
If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

86.
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

88.
The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

89.
Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

90.
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

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