One end of a horizontal spring is connected to a wall and the other end is connected to a block with mass M, which rests on a frictionless surface. A second block of mass m is placed on top of the first block. It’s found that the second block slips on top of the first if the system is set into horizontal oscillation with an amplitude exceeding A. Express the coefficient of static friction µs between the two blocks using these variable

the only real purpose of sputnik 1 was to beat the us into space. we were getting close to launching a useful satellite, explorer 1 - which launched on january 31, 1958. the ussr had to beat that, so they launched sputnik 1 on october 4, 19

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .