Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Q:- There is a parabolic shaped bridge across a river of width 100 m. The highest point of the bridge is 5 m above the level of the banks. a car of mass 1000 kg is crossing the bridge at a constant speed of 20 m/s. Using the notation indicated in the figure find the force exerted on the bridge by the car when it is at the highest point of the bridge.(g=10 m/s^2) ans:-8.40 kN

6725-1674_9902_untitled.bmp


Q:- There is a parabolic shaped bridge across a river of width 100 m. The highest point of the bridge is 5 m above the level of the banks. a car of mass 1000 kg is crossing  the bridge at a constant speed of 20 m/s. Using the notation indicated in the figure find the force exerted on the bridge by the car when it is at the highest point of the bridge.(g=10 m/s^2)        ans:-8.40 kN 

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear Taparsranjan

first find out the equation of parabola

let highest point is  origin. so equation of parabola : x2=-ay (opening downward)

  point( 50,-5) will lie on parabola

so a will come a=500

 x2=-500y

now differentiate

2x=-500 dy/dx          so dy/dx at x=0  is 0

and 2= -500d2y/dx2   so d2y/dxat x=0 is -1/250

radius of curvature at x=0 of parabola 

1/R  = d2y/dx2  /[ 1+(dy/dx)2]3/2

 R= 1/d2y/dx2

    = 250

force on bridge at highest point = mg-mv2/R

                                            =1000 * 10  - 1000*(20)2/250

                                            =8.4 kN in the downward  direction

Please feel free to post as many doubts on our discussion forum as you can.
 If you find any question Difficult to understand - post it here and we will get you the

answer and detailed solution very quickly.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.

 All the best.
 
Regards,
Askiitians Experts
Badiuddin

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free