The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100m long is supported by vertical wires attached to the cable, the longest wire being 30m and the shortest being 6m. Find the length of the supporting wire attached to the roadway 18m from the middle.

A wire attached to a vertical pole of height 18m is 24m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

The tops of two poles of height 10 m and 18 m are connected with wire. If wire makes an angle of 30^@ with horizontal, the length of wire is____

A load of 5kg hangs from one end of a vertical wire of length 1 m and of radius 1 mm. IF young's modulus of the material of the wire is 2 times 10^11 N.m^-2 , find the length of the wire when no load is acting on it.

A hanging wire of length L is elongated by an amount l with a load M attached to its free end. Prove that the elastic potential energy stored in the wire is 1/2Mgl .

A copper wire of negligible mass of length 1 m and cross sectional area 10^-6 m^2 is kept on a smooth horizontal table with one end fixed. A ball of mass 1 kg is attached to the other end. The wire and the ball are revolving with an angular velocity of 20 rad.s^-1 . IF the elongation in the length of the wire is 10^-3m , obtain the Young's modulus. IF on increasing the angular velocity to 100 rad .s^-1 the wire breaks down, obtain the breaking stress.

A mass of 60 g remains attached to the end of a thread of length 4 m. The mass is rotated uniformly in a horizontal circular path. The plane of this circular path is at a vertical distance of 3.2 m from the upper end of the thread. Determine the tension in the thread and the time period of revolution of the mass.