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

A cable of a suspension bridge is in the form of a parabola whose span is 40m. The road way is 5m below the lowest point of the cable. If an extra support is provided across the cable 30m above the ground level. Find the length of the support if the height of the pillars are 55 mts.

Parabolic cable of a 60m portion of the roadbed of a suspension bridge are positioned as shown below. Vertical Cables are to be spaced every 6m along this portion of the roadbed. Calculate the lengths of first two of these vertical cables from the vertex.

A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m//s .A bob is suspended from the roof of the car nby a light wire of length 1.0m.The angle made by the wire with the vertical is

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 20 m and 14 m are connected by a wire. If the wire makes an angle of 30o with horizontal, then the length of the wire is (a) 12 m (b) 10 m (c) 8 m (d) 6 m

A wire of mass m and length I can freely slide on a pair of parallel, smooth, horizontal rails placed in a vertical magnetic field B . The rails are connected by a capacitor of capacitance C. The electric resistance of the rails and the wire is zero. If a constant force F acts on the wire as shown in the figure, find the acceleration of the wire.

A mass m = 50 g is dropped on a vertical spring of spring constant 500 N/m from a height h= 10 cm as shown in figure (18-E14). The mass sticks to the spring and executes simple harmonic oscillations after that. A concave mirror of focal length 12 cm facing the mass is fixed with its principal axis coinciding with the line of motion of the mass, its pole being at a distance of 30 cm from the free end of the spring. Find the length in which the image of the mass oscillates.

Two metal strips, each of length, each of length l, are clamped parallel to each other on a horizontal floor with a separation b between them. A wire of mass m line on them perpendicularly as shown in figure. A vertically upward magnetic field of strenght B exists in the space. The matal strips are smooth but the cofficient of freiction between the wire and the floor is mu . A current i is established when the switch S is closed at the instant t=0 . Discuss the motion of the wire after the switch is closed. How far away from the strips will the wire reach?

A metre stick weighing 240 g is pivoted at its upper end in such a way that it can freely rotate in a vertical plane through this end figure. A particle of mass 100 g is attached to the upper end of the stick through a light sting of length 1 m. Initially the rod is kept veritcal and the string horizontal when the system is released from rest. The particle colides with the lower end of the stick and sticks there. Find the maximum angle through which the stick will rise.

A wire of length 18 m had been tied with electric pole at an angle of elevation 30^(@) with the ground. Because it was covering a long distance, it was cut and tied at an angle of elevation 60^(@) with the ground. How much length of the wire was cut?