Civil Engineering - Applied Mechanics - Discussion

Discussion Forum : Applied Mechanics - Section 3 (Q.No. 36)
36.
A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is
2 cm
3 cm
4 cm
5 cm.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
8 comments Page 1 of 1.

Konnyei said:   4 years ago
1x100= 8 x h x 1000/20 x 20 (1m=100cm),
h= 5.

Dar said:   5 years ago
10000 = 1000*20^2/8*d = 5.

Rahul said:   6 years ago
For a cable supported at both ends it buckles to resemble shape of catenary but if the dip is small then it can be approximated to a parabola which boils down to equation [(w*l*l)/(8*d)]=T where d is central dip , T is tension generated in cable and w is the UDL of cable and l is length between supports, using this formula we get answer as 5 cm.

Rajinder singh said:   7 years ago
1 * 20 * 20/4 = 8 * h * 1000/20 * 20,
= 5.
(1)

Hiwatari said:   7 years ago
Shouldn't the answer be 4 cm?

Formula : T = (W*L*L)/8d.

Where T stands for tension in the wire, W is weight of the wire, L is the length of the wire and d is the dip.

Himanahu said:   8 years ago
Please give an explanation in detail.

Prashant said:   8 years ago
Please describe the answer.

Kishor said:   8 years ago
p=8*h*t/l^2
p=w*l^2/4
Solve anh find h is 5.

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