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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?

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The correct Answer is:
`6sqrt(7)m`
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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?

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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))

An electrician has to repair an electric fault on a pole of height 5m. She needs to reach a point 1.3m below the top of the pole to undertake the repair work (see the given figure). What should be the length of the ladder that she should use which, when inclined at an angle of 60^(@) to teh horizontal, would enable her to reach the required position? Also, how far from the foot of the pole shoudl she place the foot of the ladder? (you may take sqrt3= 1.73 )

Two speakers are driven by the same oscillator with frequency of 200 Hz. They are located 4 m part on a vertical pole. A man walks straight towards the lower speaker in a direction perpendicular to the pole, as shown in figure. (i) How many times will he hear a minimum in sound intensity, and (ii) how far is he from the pole and at these moments ? Take the speed of sound to be 330 m/s, and ignore any sound reflections coming off the ground. .

A bead can slide on asmooth straight wire and a particle of mass m attached to the bead by a light string of length L. The particle is held in contact with the wire and with the string taut and is then let fall. If the bead has mass 2m then when the string makes an angle theta with the wire, the bead will have slipped a dsitance.

A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30^(@) (see the given figure)

Two blocks of mass m_(1)=10kg and m_(2)=5kg connected to each other by a massless inextensible string of length 0.3m are placed along a diameter of the turntable. The coefficient of friction between the table and m_(1) is 0.5 while there is no friction between m_(2) and the table. the table is rotating with an angular velocity of 10rad//s . about a vertical axis passing through its center O . the masses are placed along the diameter of the table on either side of the center O such that the mass m_(1) is at a distance of 0.124m from O . the masses are observed to be at a rest with respect to an observed on the tuntable (g=9.8m//s^(2)) . (a) Calculate the friction on m_(1) (b) What should be the minimum angular speed of the turntable so that the masses will slip from this position? (c ) How should the masses be placed with the string remaining taut so that there is no friction on m_(1) .

A steel wire of length 5 m and diameter 10^(-3) m is hanged vertically from a ceiling of 5.22 m height. A sphere of radius 0.1 m and mass 8tt kg is tied to the free end of the wire. When this sphere is oscillated like a simple pendulum, it touches the floor of the room in its velocity of the sphere in its lower most position. Calculate the velocity of the sphere in its lower Young's modulus for in its lower most position. Young's modulus for steel =1.994 xx 10 ^(11) Nm ^(-2).

KUMAR PRAKASHAN-TRIANGLES-EXERCISE 6.5
  1. Sides of triangles are given below, Determine which of them are right ...

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  2. PQR is a Deltaright angled at P and M is a point on QR such that PM bo...

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  3. In the given figure, ABD is a Deltaright angled at A and AC bot BD. Sh...

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  4. In the given figure, ABD is a triangle right angled at A and AC bot BD...

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  5. In the given figure, ABD is a triangle right angled at A and AC bot BD...

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  6. ABC is an isosceles triangle, right angled at C. Prove that AB^(2)= 2A...

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  7. ABC is an isosceles triangle, with AC= BC. If AB^(2)= 2AC^(2), prove ...

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  8. ABC is an equilateral triangle of side 2a. Find each of its altitude.

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  9. Prove that the sum of the squares of the sides of a rhombus is equal t...

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  10. In the given figure, O is a point in the interior of a DeltaABC, OD bo...

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  11. In the given figure, O is a point in the interior of a DeltaABC, OD bo...

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  12. A ladder 10 m long reaches a window 8 m above the ground. Find the dis...

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  13. A guy wire attached to a vertical pole of height 18 m is 24 m long and...

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  14. An aeroplane leaves an airport and flies due north at a speed of 1000 ...

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  15. Two poles of heights 6 m and 11m stand on a plane ground. If the dista...

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  16. D and E are points on the sides CA and CB respectively of a DeltaABC r...

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  17. The perpendicular from A on side BC of a DeltaABC intersects BC at D s...

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  18. In an equilateral triangle ABC, D is a point on side BC such that BD= ...

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  19. In an equilateral triangle, prove that three times the square of one s...

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  20. Tick the correct answer and justify : In DeltaABC, AB= 6 sqrt(3), AC= ...

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