Saturday 24 March 2018

IIT JEE TOPPERS OF LAST 10 YEARS SPEAK

Hi all,

We have all wondered how do toppers in IIT JEE reach such great heights and how did they really study in order to crack the Toughest examination of all!
Here is a collection of the success stories of IIT JEE toppers in their own words. Read, get inspired and follow.

1.       JEE Mains 2017 Topper:       KALPIT VEERWAL












2.     JEE Advanced 2017 Topper:      SARVESH MEHTANI










3.       JEE Mains 2016 Topper:       DEEPANSHU JINDAL










3.       JEE Mains 2016 Topper:       AMAN BANSAL













Tuesday 3 January 2017

Fluid pressure 2

Question:


For the compound manometer shown in Fig. 3.31, calculate the pressure at point A.


Solution


Fluid pressure

Question:


Find an analytic formula for the vertical and horizontal forces on each of the semicircular panels AB in Fig. P2.94. The width into the paper is b. Which force is larger? Why
Solution:




Center of Mass

Question:

1. Determine the x-, y-, and z-coordinates of the mass center of the sheet-metal shape shown.


2. Determine the coordinates of the mass center of the bracket, which is constructed from sheet metal of uniform thickness.




Solution:


Gate

Question:


For this gate, α = 45°, y1 = 3 ft, and y2 = 6 ft. Will the gate fall or stay in position under the action of the hydrostatic and gravity forces if the gate itself weighs 18,000 lb and is 3 ft wide? Assume T = 50°F. Use calculations to justify your answer.


Solution:


Mass in Cone

Question:


A particle of mass m slides without friction on the inside of a cone. The axis of the cone is vertical, and gravity is directed downward. The apex half-angle of the cone is θ, as shown. The path of the particle happens to be a circle in a horizontal plane. The speed of the particle is v0. Draw a force diagram and find the radius of the circular path in terms of v0, g, and θ.


Solution:

Monday 5 December 2016

Gravity

Question:

Near to the point where I am standing on the surface of Planet X, the gravitational force on a mass m is vertically down but has magnitude myy2 where y is a constant and y is the mass's height above the horizontal ground. (a) Find the work done by gravity on a mass m moving from r1 to r2, and use your answer to show that gravity on Planet X, although most unusual, is still conservative. Find the corresponding potential energy. (b) Still on the same planet, I thread a bead on a curved, frictionless, rigid wire, which extends from ground level to a height h above the ground. Show clearly in a picture the forces on the bead when it is somewhere on the wire. (Just name the forces so it's clear what they are; don't worry about their magnitude.) Which of the forces are conservative and which are not? (c) If I release the bead from rest at a height h, how fast will it be going when it reaches the ground?


Solution: