Accelertion of block `m` is `(theta lt 45^(@))`

Acceleration of block 'm' is (theta lt 45^(@))

Acceleration of block m is (theta lt 45^(@))

In the figure shown, angle of repose is 45^(@) .Find force of friction, net force and acceleration of the block when (a) theta = 30^(@) (b) theta = 45^(@) (c) theta = 60^(@)

In the figure shown, angle of repose is 45^(@) .Find force of friction, net force and acceleration of the block when (a) theta = 30^(@) (b) theta = 45^(@) (c) theta = 60^(@)

Acceleration of block parallel to plane (if M = 2m, theta = 45, mu = 0.5)

Consider the following statements : 1. If 45^(@) lt theta lt 60^(@) , then sec^(2) theta + cosec^(2) theta = alpha^(2) for some real number alpha gt 1 . 2. If 0^(@) lt theta lt 45^(@) , then (1 + cos theta)/(1- cos theta) = x^(2) for some real number x gt 2 . 3. If 0^(@) lt theta lt 45^(@) , then (cos theta)/(1- tan theta) + (sin theta)/(1 - cot theta) ge 2 . What is the number of true statements ?

Let alpha and beta be the roots of the quadratic equation x^(2) sin theta - x (sin theta cos theta + 1) + cos theta = 0 (0 lt theta lt 45^(@)) , and alpha lt beta . Then Sigma_(n=0)^(oo) (alpha^(n) + ((-1)^(n))/(beta^(n))) is equal to