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?

A guy wire attached to a vertical pole of height 18 m is 24 m 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?

An aeroplane is flyind horizontally at a height of 2 km and with a velocity of 720 km/h. A bag containing ration is to be dropped to the Jawans on the ground then find out (i) How far from the Jawans should the bag be released so that it falls directly over them (ii) Time taken by bag to reach the ground (iii) Velocity of bag when it reach the ground. (iv) At which angle the bag will reaches the ground. (v) What path of bag will be appeared to pilot (vi) What path of bag will be appeared to Jawans. (vii) Position of aeroplane when bag reaches to the Jawans. (g=10m//s^(2))

In the figure, AC is the length of a pole standing vertical on the ground. The pole is bent at point B, so that the top of the pole touches the ground at a point 15 m away from the base of the pole. If the length of the pole is 25m, find the length of the upper part of the pole.

You want to erect a pole of height 10 m with the support of three ropes. Each rope has to make an angle 30^(@) with the pole. What should be the length of the rope?

A wire suspended vertically from one of itsends is strached by attached a weight of 200 N to the lower end . The weight streches the wire by 1 mm . Then the elastic energy stored in the wire is

A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

A flute which we treat as a pipe open at both ends is 60 cm long. (a) What is the fundamental frequency when all the holes are covered? (b) How far from the mouthpieces should a hole be uncovered for the fundamental frequency to be 330 H_(Z) ? Take speed of sound in air as 340 m//s .

A uniform rope of length L and mass m, hangs vertically from a rigid support. A block of mass m_(2) is attached to the free end of the rope. A transverse pulse of wavelength lamda_(1) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is lamda_(2). . The ratio lamda_(2)//lamda_(1) is ......

A trolley of mass 200 kg moves with a uniform speed of 36 km/h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed of 4 ms^(-1) relative to the trolley in a direction opposite to the its motion, and jumps out of the trolley. What is the final speed of the trolley? How much has the trolley moved from the time the child begins to run?