A block of certain mass is placed on a rough floor. The coefficients of static and kinetic friction between the block and the floor are 0.4 and 0.25 respectively. A constant horizontal force \( F = 20 \, \text{N} \) acts on it so that the velocity of the block varies with time according to the following graph. The mass of the block is nearly (Take \( g = 10 \, \text{m/s}^2 \)):
A wooden block of mass M lies on a rough floor. Another wooden block of the same mass is hanging from the point O through strings as shown in the figure. To achieve equilibrium, the coefficient of static friction between the block on the floor and the floor itself is
The theory that is part of mathematics is the approximation theory. An approximation is employed when it becomes difficult to seek out the exact value of any number. It is also essential to round off the errors resulting in approximation.
In general, the wavy equal “≈” sign is used to represent the approximate values that stand for “almost equal to”.
For Example ⇢ π ≈ 3.14
Consider y = f(x) = any function of x.
Let,
Δx = the small change in x
Δy = the corresponding change in y
Here are some of the essential points that are required to be remembered: