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A sphere is rolling on the rough surface without any slipping at the contact point. Find the radius of curvature of the trajectory of the point which is at R/2 just above the center... i don't know why i messed this [2] ...
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Yesterday Philip was frustrated at the lack of gud problems...I am posting some for everyones practice..........2009 aspirants should solve them and put up solutions here for 2010 students to learn............. Some might be ...
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Evaluate: \lim_{n\to\infty}\dfrac{1}{n}\sum_{k=1}^n\left(\left[\dfrac{2n}{k}\right]-2\left[\dfrac{n}{k}\right]\right) Here [x] represents the greatest integer less than or equal to . ...
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A series expansion is a representation of a particular function as a sum of powers in one of its variables, or by a sum of powers of another (usually elementary) function . Here are series expansions (some Maclaurin, some Lau ...
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The other day we solved to find the no. of ways in wich a given no. can be expressed as a product of two nos!!! I wanted to know if v can hav such a generalization for expressing a no. as product of 3integers Note** It may be ...
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Just wanted to give u guys the formulas in properties of triangles. First of course is a diagram, which indicates all the parameters of a triangle I made it with paint...so pls forgive me if it is untidy *Image* ...
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solve sin^{7}x +cos^{7}x=1 ...
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http://www.allaboutcircuits.com/vol_1/chpt_10/13.html I have resisted a lot in the past against this method. I really feel that this method takes away the joy of solving complex circuits and should be studied only at an engin ...
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A cylinder can move without friction along a straight wire parallel to its axis of symmetry, as shown. *Image* Tiny particles moving horizontally at speed v_0 bombard the body from both left and right. Collisions with the rig ...
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First look when i saw this question, I got bowled.. Then the feeling of solving this one was good.. [1] .. I thought THis is a nice question that you guys should try F(x) is a polynomial of degree n such that f(k)=1/k for k=1 ...
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this thread is mainly intended to give some insight into congruences and how to solve various jee related problems using that concept.. definition of congruent: A number `a` is said to be congruent to `b` modulo `m` if `m` di ...
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Find the sum of the given expression here: \sum_{0\leq i\neq j\leq n}{\left( ^nC_i\times ^nC_j\right)} ...
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A block of mass M travelling at velocity v m/s strikes on a spring of mass m on a horizontal table. Find the maximum compression. ...
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Q1. Remainder when the number 111....1 (123 ones) is divided by 271 is Q2. The period of the function such that f(x-1) + f(x+1) = 2 f(x) is Q3. Let S=\sum_{k=1}^{80}{\frac{1}{\sqrt{k}}} . Then [S] equals where [] is GINT Q4. ...
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*Image* There is a chain of length L and mass per unit length lambda... on a sphere of radius R. The sphere is fixed... What is the force on the nail by the chain.. what is the total force on the nail .. :Keep in mind that th ...
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Divisibility by prime numbers under 50. © Stu Savory, 2003 & 2004. A number is divisible by 2 if its last digit is also (i.e. 0,2,4,6 or 8). A number is divisible by 3 if the sum of its digits is also. Example: 534: 5+3+4=12 ...
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Consider a drop of conducting liquid in gravity free space. Its radius is R while the surface tension of the liquid is T. Now the drop is supplied some charge Q. For what values of Q is the drop stable. ...
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after many days :P from the reaction of 1,3,5-trimethylbenzene (mesithylene..wat a cute name :P) with HF and BF3, Olah isolated at low temperatures a bright yellow solid whose elemental composition corresponds to mesithylene: ...
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The older one couldn't be edited, so I decided to make a new thread. Instructions for viewing : Right click and click on Zoom-In atleast thrice for a better view..and then use the mouse to navigate through the document. List ...
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last one for today! suppose we are charging a capacitor of capacitance C across a potential difference(battery) of V. Energy stored in capacitor = 1/2 CV2 work done by battery=q.V but q=CV so work done = CV2. where did the re ...
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